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Keywords = Haemers’ conjecture

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44 pages, 1327 KiB  
Article
On Spectral Graph Determination
by Igal Sason, Noam Krupnik, Suleiman Hamud and Abraham Berman
Mathematics 2025, 13(4), 549; https://doi.org/10.3390/math13040549 - 7 Feb 2025
Cited by 1 | Viewed by 1323
Abstract
The study of spectral graph determination is a fascinating area of research in spectral graph theory and algebraic combinatorics. This field focuses on examining the spectral characterization of various classes of graphs, developing methods to construct or distinguish cospectral nonisomorphic graphs, and analyzing [...] Read more.
The study of spectral graph determination is a fascinating area of research in spectral graph theory and algebraic combinatorics. This field focuses on examining the spectral characterization of various classes of graphs, developing methods to construct or distinguish cospectral nonisomorphic graphs, and analyzing the conditions under which a graph’s spectrum uniquely determines its structure. This paper presents an overview of both classical and recent advancements in these topics, along with newly obtained proofs of some existing results, which offer additional insights. Full article
(This article belongs to the Special Issue Graph Theory and Applications, 2nd Edition)
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