Article
Details
Citation
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
Abstract
The Euclidean distance between the eigenvalue sequences of graphs G and H, on the same number of vertices, is called the spectral distance between G and H. This notion is the basis of a heuristic algorithmfor reconstructing a graph with prescribed spectrum. By using a graph Γ constructed from cospectral graphs G and H, we can ensure that G and H are isomorphic if and only if the spectral distance between Γ and G + K2 is zero. This construction is exploited to design a heuristic algorithm for testing graph isomorphism. We present preliminary experimental results obtained by implementing these algorithms in conjunction with a meta-heuristic known as a variable neighbourhood search.
Keywords
spectral distance; graph angles; graph isomorphism; variable neighbourhood search
Journal
Bulletin, Classe des Sciences Mathematiques et Naturelles, Sciences Mathematiques, Issue 39
Status | Published |
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Publication date | 31/12/2014 |
URL | http://hdl.handle.net/1893/21311 |
Publisher | Institute of SANU, Belgrade |
Publisher URL | https://www.jstor.org/stable/26359039 |
ISSN | 0561-7332 |
People (1)
Emeritus Professor, Mathematics