The main eigenvalues of a graph: a survey

Citation

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

Abstract
We survey results relating main eigenvalues and main angles to the structure of a graph. We provide a number of short proofs, and note the connection with star partitions. We discuss graphs with just two main eigenvalues in the context of measures of irregularity, and in the context of harmonic graphs.

Keywords
Graph; harmonic graph; main eigenvalue; main angle; star partition

Journal
Applicable Analysis and Discrete Mathematics: Volume 1, Issue 2