BA (Oxford) 1966 MA, DPhil (Oxford) 1970
Lecturer in Mathematics at the University of Stirling 1969-92, Senior Lecturer 1992-94, Reader 1994-96, Personal Chair from September 1996, Emeritus Professor from September 2006.
Head of Mathematics and Deputy Head of Department 2002-06.
Visiting Associate Professor of Mathematics at the California Institute of Technology, 1975-76.
Secretary, British Combinatorial Committee, 1999-2013.
President, Edinburgh Mathematical Society, 2003-2005.
Spectral graph theory
Article
More on signed graphs with at most three eigenvalues
Ramezani F, Rowlinson P & StaniĆ Z (2022) More on signed graphs with at most three eigenvalues. Discussiones Mathematicae Graph Theory, 42 (4), pp. 1313-1331. https://doi.org/10.7151/dmgt.2393
Article
Signed graphs whose spectrum is bounded by −2
Rowlinson P & Stanić Z (2022) Signed graphs whose spectrum is bounded by −2. Applied Mathematics and Computation, 423, Art. No.: 126991. https://doi.org/10.1016/j.amc.2022.126991
Article
Signed graphs with at most three eigenvalues
Ramezani F, Rowlinson P & Stanić Z (2022) Signed graphs with at most three eigenvalues. Czechoslovak Mathematical Journal, 72 (1), pp. 59-77. https://doi.org/10.21136/cmj.2021.0256-20
Article
Signed graphs with three eigenvalues: Biregularity and beyond
Rowlinson P & Stanić Z (2021) Signed graphs with three eigenvalues: Biregularity and beyond. Linear Algebra and its Applications, 621, pp. 272-295. https://doi.org/10.1016/j.laa.2021.03.018
Article
On trees as star complements in regular graphs
Rowlinson P (2020) On trees as star complements in regular graphs. Discussions Mathematicae Graph Theory, 40 (2), pp. 621-636. https://doi.org/10.7151/dmgt.2272
Article
Slobodan Simić: an appreciation
Cvetkovic D & Rowlinson P (2020) Slobodan Simić: an appreciation. Discussiones Mathematicae Graph Theory, 40 (2), pp. 367-378. https://doi.org/10.7151/dmgt.2266
Article
On eigenvalue multiplicity in signed graphs
Ramezani F, Rowlinson P & Stanić Z (2020) On eigenvalue multiplicity in signed graphs. Discrete Mathematics, 343 (10), Art. No.: 111982. https://doi.org/10.1016/j.disc.2020.111982
Article
A problem concerning graphs with just three distinct eigenvalues
Rowlinson P (2020) A problem concerning graphs with just three distinct eigenvalues. Linear Algebra and its Applications, 592, pp. 260-269. https://doi.org/10.1016/j.laa.2020.01.024
Article
Eigenvalue multiplicity in regular graphs
Rowlinson P (2019) Eigenvalue multiplicity in regular graphs. Discrete Applied Mathematics, 269, pp. 11-17. https://doi.org/10.1016/j.dam.2018.07.023
Article
An extension of the star complement technique for regular graphs
Rowlinson P (2018) An extension of the star complement technique for regular graphs. Linear Algebra and Its Applications, 557, pp. 496-507. https://doi.org/10.1016/j.laa.2018.08.018
Article
More on graphs with just three distinct eigenvalues
Rowlinson P (2017) More on graphs with just three distinct eigenvalues. Applicable Analysis and Discrete Mathematics, 11, pp. 74-80. https://doi.org/10.2298/AADM161111033R
Article
Eigenvalue multiplicity in quartic graphs
Capaverde J & Rowlinson P (2017) Eigenvalue multiplicity in quartic graphs. Linear Algebra and Its Applications, 535, pp. 160-170. https://doi.org/10.1016/j.laa.2017.08.023
Article
On graphs with just three distinct eigenvalues
Rowlinson P (2016) On graphs with just three distinct eigenvalues. Linear Algebra and Its Applications, 507, pp. 462-473. https://doi.org/10.1016/j.laa.2016.06.031
Article
Eigenvalue multiplicity in triangle-free graphs
Rowlinson P (2016) Eigenvalue multiplicity in triangle-free graphs. Linear Algebra and Its Applications, 493, pp. 484-493. https://doi.org/10.1016/j.laa.2015.12.012
Article
Graphs with least eigenvalue -2: ten years on
Cvetkovic D, Rowlinson P & Simic S (2015) Graphs with least eigenvalue -2: ten years on. Linear Algebra and Its Applications, 484, pp. 504-539. https://doi.org/10.1016/j.laa.2015.06.012
Article
Star complements and edge-connectivity in finite graphs
Rowlinson P (2015) Star complements and edge-connectivity in finite graphs. Linear Algebra and Its Applications, 476, pp. 124-132. https://doi.org/10.1016/j.laa.2015.03.003
Article
Spectral Reconstruction and Isomorphism of graphs using variable neighbourhood search
Caporossi G, Cvetkovic D & Rowlinson P (2014) Spectral Reconstruction and Isomorphism of graphs using variable neighbourhood search. Bulletin, Classe des Sciences Mathematiques et Naturelles, Sciences Mathematiques, (39), pp. 23-38. https://www.jstor.org/stable/26359039
Article
On bipartite graphs with complete bipartite star complements
Rowlinson P (2014) On bipartite graphs with complete bipartite star complements. Linear Algebra and Its Applications, 458, pp. 149-160. https://doi.org/10.1016/j.laa.2014.06.011
Article
Controllability of multi-agent dynamical systems with a broadcasting control signal
Yoon M, Rowlinson P, Cvetkovic D & Stanic Z (2014) Controllability of multi-agent dynamical systems with a broadcasting control signal. Asian Journal of Control, 16 (4), pp. 1066-1072. https://doi.org/10.1002/asjc.793
Article
Eigenvalue multiplicity in cubic graphs
Rowlinson P (2014) Eigenvalue multiplicity in cubic graphs. Linear Algebra and Its Applications, 444, pp. 211-218. https://doi.org/10.1016/j.laa.2013.11.036
Article
Star complements and connectivity in finite graphs
Rowlinson P (2014) Star complements and connectivity in finite graphs. Linear Algebra and Its Applications, 442, pp. 92-98. https://doi.org/10.1016/j.laa.2013.06.021
Article
On independent star sets in finite graphs
Rowlinson P (2014) On independent star sets in finite graphs. Linear Algebra and Its Applications, 442, pp. 82-91. https://doi.org/10.1016/j.laa.2013.06.009
Research Report
Spectral Reconstruction and Isomorphism of graphs using variable neighbourhood search
Caporossi G, Cvetkovic D & Rowlinson P (2013) Spectral Reconstruction and Isomorphism of graphs using variable neighbourhood search. Les Cahiers du GERAD, G-2013-73. GERAD. http://www.gerad.ca/fichiers/cahiers/G-2013-73.pdf
Article
On graphs with an eigenvalue of maximal multiplicity
Rowlinson P (2013) On graphs with an eigenvalue of maximal multiplicity. Discrete Mathematics, 313 (11), pp. 1162-1166. https://doi.org/10.1016/j.disc.2011.11.024
Article
On induced matchings as star complements in regular graphs
Rowlinson P (2012) On induced matchings as star complements in regular graphs. Journal of Mathematical Sciences, 182 (2), pp. 159-163. https://doi.org/10.1007/s10958-012-0736-0
Article
Regular star complements in strongly regular graphs
Rowlinson P (2012) Regular star complements in strongly regular graphs. Linear Algebra and Its Applications, 436 (5), pp. 1482-1488. https://doi.org/10.1016/j.laa.2011.08.020
Article
Cvetkovic D, Rowlinson P, Stanic Z & Yoon M (2011) Controllable graphs. Bulletin, Classe des Sciences Mathematiques et Naturelles, Sciences Mathematiques, 143 (36), pp. 81-88. http://www.emis.de/journals/BSANU/36/6.html
Article
On eigenvalue multiplicity and the girth of a graph
Rowlinson P (2011) On eigenvalue multiplicity and the girth of a graph. Linear Algebra and Its Applications, 435 (10), pp. 2375-2381. https://doi.org/10.1016/j.laa.2010.10.020
Article
Controllable graphs with least eigenvalue at least -2
Cvetkovic D, Rowlinson P, Stanic Z & Yoon M (2011) Controllable graphs with least eigenvalue at least -2. Applicable Analysis and Discrete Mathematics, 5 (2), pp. 165-175. https://doi.org/10.2298/AADM110909022C
Authored Book
An Introduction to the Theory of Graph Spectra
Cvetkovic D, Rowlinson P & Simic SK (2010) An Introduction to the Theory of Graph Spectra. London Mathematical Society Student Texts, 75. Cambridge: Cambridge University Press.
Article
Spectral upper bounds for the order of a k-regular induced subgraph
Cardoso DM & Rowlinson P (2010) Spectral upper bounds for the order of a k-regular induced subgraph. Linear Algebra and Its Applications, 433 (5), pp. 1031-1037. https://doi.org/10.1016/j.laa.2010.04.029
Article
On multiple eigenvalues of trees
Rowlinson P (2010) On multiple eigenvalues of trees. Linear Algebra and Its Applications, 432 (11), pp. 3007-3011. https://doi.org/10.1016/j.laa.2010.01.003
Article
Star complements in regular graphs: Old and new results
Rowlinson P & Tayfeh-Rezaie B (2010) Star complements in regular graphs: Old and new results. Linear Algebra and Its Applications, 432 (9), pp. 2230-2242. https://doi.org/10.1016/j.laa.2009.04.022
Article
A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph
Cardoso DM, Cvetkovic D, Rowlinson P & Simic SK (2008) A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph. Linear Algebra and Its Applications, 429 (11-12), pp. 2770-2780. https://doi.org/10.1016/j.laa.2008.05.017
Article
Aouchiche M, Bell FK, Cvetkovic D, Hansen P, Rowlinson P, Simic SK & Stevanovic D (2008) Variable neighborhood search for extremal graphs. 16. Some conjectures related to the largest eigenvalue of a graph. European Journal of Operational Research, 191 (3), pp. 661-676. https://doi.org/10.1016/j.ejor.2006.12.059
Article
Graphs for which the least eigenvalue is minimal, II
Bell FK, Cvetkovic D, Rowlinson P & Simic SK (2008) Graphs for which the least eigenvalue is minimal, II. Linear Algebra and Its Applications, 429 (8-9), pp. 2168-2179. https://doi.org/10.1016/j.laa.2008.06.018
Article
Graphs for which the least eigenvalue is minimal, I
Bell FK, Cvetkovic D, Rowlinson P & Simic SK (2008) Graphs for which the least eigenvalue is minimal, I. Linear Algebra and Its Applications, 429 (1), pp. 234-241. https://doi.org/10.1016/j.laa.2008.02.032
Article
Some properties of the Hoffman-Singleton graph
Rowlinson P & Sciriha I (2007) Some properties of the Hoffman-Singleton graph. Applicable Analysis and Discrete Mathematics, 1 (2), pp. 438-445. https://doi.org/10.2298/AADM0702438R
Article
Eigenvalue bounds for the signless laplacian
Cvetkovic D, Rowlinson P & Simic SK (2007) Eigenvalue bounds for the signless laplacian. Publications de l'Institut Mathématique, 81 (95), pp. 11-27. http://elib.mi.sanu.ac.rs/files/journals/publ/101/n095p011.pdf
Article
The main eigenvalues of a graph: a survey
Rowlinson P (2007) The main eigenvalues of a graph: a survey. Applicable Analysis and Discrete Mathematics, 1 (2), pp. 455-471. https://doi.org/10.2298/AADM0702445R
Article
Star complements and exceptional graphs
Cvetkovic D, Rowlinson P & Simic SK (2007) Star complements and exceptional graphs. Linear Algebra and Its Applications, 423 (1), pp. 146-154. https://doi.org/10.1016/j.laa.2007.01.008
Article
Signless Laplacians of finite graphs
Cvetkovic D, Rowlinson P & Simic SK (2007) Signless Laplacians of finite graphs. Linear Algebra and Its Applications, 423 (1), pp. 155-171. https://doi.org/10.1016/j.laa.2007.01.009
Article
Co-cliques and star complements in extremal strongly regular graphs
Rowlinson P (2007) Co-cliques and star complements in extremal strongly regular graphs. Linear Algebra and Its Applications, 421 (1), pp. 157-162. https://doi.org/10.1016/j.laa.2006.04.002
Article
Graphs with least eigenvalue -2: A new proof of the 31 forbidden subgraphs theorem
Cvetkovic D, Rowlinson P & Simic S (2005) Graphs with least eigenvalue -2: A new proof of the 31 forbidden subgraphs theorem. Designs, Codes and Cryptography, 34 (2-3), pp. 229-240. https://doi.org/10.1007/s10623-004-4856-5
Article
Star complements and maximal exceptional graphs
Rowlinson P (2004) Star complements and maximal exceptional graphs. Publications de l'Institut Mathématique, 76 (90), pp. 25-30. http://elib.mi.sanu.ac.rs/files/journals/publ/96/n090p025.pdf
Book Chapter
Cvetkovic D & Rowlinson P (2004) Spectral Graph Theory. In: Beineke L, Wilson R & Cameron P (eds.) Topics in Algebraic Graph Theory. Encyclopedia of Mathematics and its Applications, 102. Cambridge: Cambridge University Press, pp. 88-112. http://www.cambridge.org/co/academic/subjects/mathematics/discrete-mathematics-information-theory-and-coding/topics-algebraic-graph-theory
Authored Book
Spectral Generalizations of Line Graphs
Cvetkovic D, Rowlinson P & Simic S (2004) Spectral Generalizations of Line Graphs. London Mathematical Society Lecture Note Series, 314. Cambridge: Cambridge University Press. http://www.cambridge.org/gb/academic/subjects/mathematics/logic-categories-and-sets/spectral-generalizations-line-graphs-graphs-least-eigenvalue-2
Article
On the multiplicities of graph eigenvalues
Bell FK & Rowlinson P (2003) On the multiplicities of graph eigenvalues. Bulletin of the London Mathematical Society, 35 (3), pp. 401-408. https://doi.org/10.1112/S0024609303002030
Article
Star complements in finite graphs: a survey
Rowlinson P (2002) Star complements in finite graphs: a survey. Rendiconti del Seminario Matematico di Messina Serie II, 8 (Supplemento), pp. 145-162. https://sites.google.com/site/seminariomatematicomessina/supplementootto
Article
The maximal exceptional graphs
Cvetkovic D, Lepovic M, Rowlinson P, Simic SK & Cvetkovic D (2002) The maximal exceptional graphs. Journal of Combinatorial Theory Series B, 86 (2), pp. 347-363. https://doi.org/10.1006/jctb.2002.2132
Article
Constructing fullerene graphs from their eigenvalues and angles
Cvetkovic D, Fowler P, Rowlinson P & Stevanovic D (2002) Constructing fullerene graphs from their eigenvalues and angles. Linear Algebra and Its Applications, 356 (1-3), pp. 37-56. https://doi.org/10.1016/S0024-3795%2802%2900280-X
Article
Star complements and switching in graphs
Rowlinson P & Jackson P (2002) Star complements and switching in graphs. Linear Algebra and Its Applications, 356 (1-3), pp. 135-143. https://doi.org/10.1016/S0024-3795%2802%2900375-0
Article
The maximal exceptional graphs with maximal degree less than 28
Cvetkovic D, Rowlinson P & Simic SK (2001) The maximal exceptional graphs with maximal degree less than 28. Bulletin, Classe des Sciences Mathematiques et Naturelles, Sciences Mathematiques, CXXII (26), pp. 115-131. http://www.emis.ams.org/journals/BSANU/26/7.html
Article
Graphs with least eigenvalue - 2: The star complement technique
Cvetkovic D, Rowlinson P & Simic S (2001) Graphs with least eigenvalue - 2: The star complement technique. Journal of Algebraic Combinatorics, 14 (1), pp. 5-16. https://doi.org/10.1023/A%3A1011209801191
Article
Rowlinson P (2000) Star sets in regular graphs. Journal of Combinatorial Mathematics and Combinatorial Computing, 34 (1), pp. 3-22.
Article
Dominating properties of star complements
Liu B & Rowlinson P (2000) Dominating properties of star complements. Publications de l'Institut Mathématique, 68 (82), pp. 46-52. http://www.emis.de/journals/PIMB/082/4.html
Conference Paper (published)
Star sets and star complements in finite graphs: a spectral construction technique
Rowlinson P (2000) Star sets and star complements in finite graphs: a spectral construction technique. In: Hansen P, Fowler P & Zheng M (eds.) Discrete Mathematical Chemistry. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 51. DIMACS Workshop on Discrete Mathematical Chemistry, Rutgers University, New Brunswick, NJ, 23.03.1998-25.03.1998. Providence, RI: American Mathematical Society, pp. 323-332. http://www.ams.org/bookstore?fn=20&arg1=mathcomb&ikey=DIMACS-51
Article
Graph eigenspaces of small codimension
Rowlinson P & Bell FK (2000) Graph eigenspaces of small codimension. Discrete Mathematics, 220 (1-3), pp. 271-278. https://doi.org/10.1016/S0012-365X%2800%2900031-5
Article
Some additions to the theory of star partitions of graphs
Bell FK, Cvetkovic D, Rowlinson P & Simic S (1999) Some additions to the theory of star partitions of graphs. Discussiones Mathematicae Graph Theory, 19 (2), pp. 119-134. https://doi.org/10.7151/dmgt.1089
Conference Paper (published)
Salem numbers and Pisot numbers from stars
McKee JF, Rowlinson P & Smyth CJ (1999) Salem numbers and Pisot numbers from stars. In: Gyory K, Iwaniec H & Urbanowicz J (eds.) Number Theory in Progress: Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997, Volume 1: Diophantine Problems and Polynomials. International Conference on Number Theory, Zakopane, Poland, 30.06.1997-09.07.1997. Berlin: Walter De Gruyter, pp. 309-319. http://www.degruyter.com/view/product/5136
Article
Some characterizations of graphs by star complements
Cvetkovic D, Rowlinson P & Simic S (1999) Some characterizations of graphs by star complements. Linear Algebra and Its Applications, 301 (1-3), pp. 81-97. https://doi.org/10.1016/S0024-3795%2899%2900179-2
Article
On graphs with complete bipartite star complements
Jackson P & Rowlinson P (1999) On graphs with complete bipartite star complements. Linear Algebra and Its Applications, 298 (1-3), pp. 9-20. https://doi.org/10.1016/S0024-3795%2899%2900135-4
Article
A database of star complements of graphs
Cvetkovic D, Lepovic M, Rowlinson P & Simic S (1998) A database of star complements of graphs. Publikacije Elektrotehnickog fakulteta – Serija: Matematika, (9), pp. 103-112. http://pefmath2.etf.rs/files/118/879.pdf
Article
On graphs with multiple eigenvalues
Rowlinson P (1998) On graphs with multiple eigenvalues. Linear Algebra and Its Applications, 283 (1-3), pp. 75-85. https://doi.org/10.1016/S0024-3795%2898%2910082-4
Authored Book
Cvetkovic D, Rowlinson P & Simic S (1997) Eigenspaces of Graphs. Encyclopedia of Mathematics and its Applications, 66. Cambridge: Cambridge University Press. http://www.cambridge.org/gb/academic/subjects/mathematics/discrete-mathematics-information-theory-and-coding/eigenspaces-graphs
Book Chapter
Rowlinson P (1997) Linear Algebra. In: Beineke L & Wilson R (eds.) Graph Connections: Relationships between Graph Theory and Other Areas of Mathematics. Oxford Lecture Series in Mathematics and Its Applications, 5. Oxford: Oxford University Press, pp. 86-99. http://ukcatalogue.oup.com/product/9780198514978.do
Article
The characteristic polynomials of modified graphs
Rowlinson P (1996) The characteristic polynomials of modified graphs. Discrete Applied Mathematics, 67 (1-3), pp. 209-219. https://doi.org/10.1016/0166-218X%2896%2985159-6
Edited Book
Rowlinson P (ed.) (1995) Surveys in Combinatorics 1995. London Mathematical Society Lecture Note Series, 218. Cambridge: Cambridge University Press. http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511662096
Article
Star partitions and regularity in graphs
Rowlinson P (1995) Star partitions and regularity in graphs. Linear Algebra and Its Applications, 226-228, pp. 247-265. https://doi.org/10.1016/0024-3795%2895%2993232-O
Article
On some algorithmic investigations of star partitions of graphs
Cvetkovic D, Rowlinson P & Simic S (1995) On some algorithmic investigations of star partitions of graphs. Discrete Applied Mathematics, 62 (1-3), pp. 119-130. https://doi.org/10.1016/0166-218X%2894%2900149-8
Article
Dominating sets and eigenvalues of graphs
Rowlinson P (1994) Dominating sets and eigenvalues of graphs. Bulletin of the London Mathematical Society, 26 (2), pp. 248-254. https://doi.org/10.1112/blms/26.3.248
Article
The third Ramsey numbers for graphs with at most four edges
Yang Y & Rowlinson P (1994) The third Ramsey numbers for graphs with at most four edges. Discrete Mathematics, 125 (1-3), pp. 399-406. https://doi.org/10.1016/0012-365X%2894%2990182-1
Article
Tricyclic Hamiltonian graphs with minimal index
Rowlinson P & Yang Y (1993) Tricyclic Hamiltonian graphs with minimal index. Linear and Multilinear Algebra, 34 (3-4), pp. 187-196. https://doi.org/10.1080/03081089308818221
Article
Certain graphs without zero as an eigenvalue
Bell FK & Rowlinson P (1993) Certain graphs without zero as an eigenvalue. Mathematica Japonica, 38 (3), pp. 961-967.
Book Chapter
Eutactic stars and graph spectra
Rowlinson P (1993) Eutactic stars and graph spectra. In: Brualdi R, Friedland S & Klee V (eds.) Combinatorial and Graph-Theoretical Problems in Linear Algebra. The IMA Volumes in Mathematics and its Applications, 50. New York: Springer, pp. 153-164. http://link.springer.com/chapter/10.1007/978-1-4613-8354-3_6#
Article
Some relatively sparse graphs with Hamiltonian cycles
Recaman B, Rowlinson P & Yang Y (1993) Some relatively sparse graphs with Hamiltonian cycles. Publikacije Elektrotehnickog fakulteta – Serija: Matematika, (4), pp. 99-100. http://pefmath2.etf.rs/files/113/807.pdf
Article
On graphs without 6-cycles and related Ramsey numbers
Yang Y & Rowlinson P (1993) On graphs without 6-cycles and related Ramsey numbers. Utilitas Mathematica, 44, pp. 192-196.
Article
A study of eigenspaces of graphs
Cvetkovic D, Rowlinson P & Simic S (1993) A study of eigenspaces of graphs. Linear Algebra and Its Applications, 182, pp. 45-66. https://doi.org/10.1016/0024-3795%2893%2990491-6
Article
The spectrum of a graph modified by the addition of a vertex
Rowlinson P (1992) The spectrum of a graph modified by the addition of a vertex. Publikacije Elektrotehnickog fakulteta – Serija: Matematika, (3), pp. 67-70. http://pefmath2.etf.rs/files/112/792.pdf
Article
On the third Ramsey numbers of graphs with five edges
Yang Y & Rowlinson P (1992) On the third Ramsey numbers of graphs with five edges. Journal of Combinatorial Mathematics and Combinatorial Computing, 11 (2), pp. 213-222.
Article
On extremal graphs without 4-cycles
Yang Y & Rowlinson P (1992) On extremal graphs without 4-cycles. Utilitas Mathematica, 41, pp. 204-210.
Article
On the characteristic polynomials of spirographs and related graphs
Rowlinson P (1991) On the characteristic polynomials of spirographs and related graphs. Journal of Mathematical Chemistry, 8 (1), pp. 345-354. https://doi.org/10.1007/BF01166948
Article
Graph angles and isospectral molecules
Rowlinson P (1991) Graph angles and isospectral molecules. Publikacije Elektrotehnickog fakulteta – Serija: Matematika, (2), pp. 61-66. http://pefmath2.etf.rs/files/111/777.pdf
Book Chapter
Rowlinson P (1991) Graph Perturbations. In: Keedwell A (ed.) Surveys in Combinatorics, 1991. London Mathematical Society Lecture Note Series, 166. Cambridge: Cambridge University Press, pp. 187-219. http://www.cambridge.org/gb/academic/subjects/mathematics/discrete-mathematics-information-theory-and-coding/surveys-combinatorics-1991
Article
The largest eigenvalue of a graph: a survey
Cvetkovic D & Rowlinson P (1990) The largest eigenvalue of a graph: a survey. Linear and Multilinear Algebra, 28 (1-2), pp. 3-33. https://doi.org/10.1080/03081089008818026
Article
On the index of certain outerplanar graphs
Rowlinson P (1990) On the index of certain outerplanar graphs. Ars Combinatoria, 29C, pp. 221-225.
Article
On the index of tricyclic hamiltonian graphs
Bell FK & Rowlinson P (1990) On the index of tricyclic hamiltonian graphs. Proceedings of the Edinburgh Mathematical Society, 33 (2), pp. 233-240. https://doi.org/10.1017/S0013091500018150
Article
Rowlinson P (1990) More on graph perturbations. Bulletin of the London Mathematical Society, 22 (3), pp. 209-216. https://doi.org/10.1112/blms/22.3.209
Conference Paper (published)
Seeking counterexamples to the reconstruction conjecture: a research note
Cvetkovic D & Rowlinson P (1989) Seeking counterexamples to the reconstruction conjecture: a research note. In: Graph theory : proceedings of the Eighth Yugoslav Seminar on Graph Theory, Novi Sad, April 17-18, 1987. Eighth Yugoslav Seminar on Graph Theory, Novi Sad, Servia, 17.04.1987-18.04.1987. Novi Sad, Serbia: University of Novi Sad, Institute of Mathematics, pp. 52-62. http://trove.nla.gov.au/work/18071181?versionId=21209522
Article
On Hamiltonian Graphs with Maximal Index
Rowlinson P (1989) On Hamiltonian Graphs with Maximal Index. European Journal of Combinatorics, 10 (5), pp. 489-497. https://doi.org/10.1016/S0195-6698%2889%2980023-X
Article
Further properties of graph angles
Cvetkovic D & Rowlinson P (1988) Further properties of graph angles. Scientia, Series A - Mathematical Sciences, 1, pp. 41-51.
Article
On connected graphs with maximal index
Cvetkovic D & Rowlinson P (1988) On connected graphs with maximal index. Publications de l'Institut Mathématique, 44 (58), pp. 29-34. http://elib.mi.sanu.ac.rs/files/journals/publ/64/n058p029.pdf
Article
On the maximal index of graphs with a prescribed number of edges
Rowlinson P (1988) On the maximal index of graphs with a prescribed number of edges. Linear Algebra and Its Applications, 110, pp. 43-53. https://doi.org/10.1016/0024-3795%2883%2990131-3
Article
On angles and perturbations of graphs
Rowlinson P (1988) On angles and perturbations of graphs. Bulletin of the London Mathematical Society, 20 (3), pp. 193-197. https://doi.org/10.1112/blms/20.3.193
Article
The change in index of a graph resulting from the attachment of a pendant edge
Bell FK & Rowlinson P (1988) The change in index of a graph resulting from the attachment of a pendant edge. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 108 (1-2), pp. 67-74. https://doi.org/10.1017/S0308210500026524
Article
Cvetkovic D & Rowlinson P (1987) Spectra of unicyclic graphs. Graphs and Combinatorics, 3 (1), pp. 7-23. https://doi.org/10.1007/BF01788525
Article
A deletion-contraction algorithm for the characteristic polynomial of a multigraph
Rowlinson P (1987) A deletion-contraction algorithm for the characteristic polynomial of a multigraph. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 105 (1), pp. 153-160. https://doi.org/10.1017/S0308210500021983
Article
On 4-cycles and 5-cycles in regular tournaments
Rowlinson P (1986) On 4-cycles and 5-cycles in regular tournaments. Bulletin of the London Mathematical Society, 18 (2), pp. 135-139. https://doi.org/10.1112/blms/18.2.135
Article
Certain 3-decompositions of complete graphs, with an application to finite fields
Rowlinson P (1985) Certain 3-decompositions of complete graphs, with an application to finite fields. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 99 (3-4), pp. 277-281. https://doi.org/10.1017/S0308210500014293
Article
Simple eigenvalues of intransitive graphs
Rowlinson P (1984) Simple eigenvalues of intransitive graphs. Bulletin of the London Mathematical Society, 16 (2), pp. 122-126. https://doi.org/10.1112/blms/16.2.122
