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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Spectral Reconstruction and Isomorphism of graphs using variable neighbourhood search
Authors: Caporossi, Gilles
Cvetkovic, Dragos
Rowlinson, Peter
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Keywords: spectral distance
graph angles
graph isomorphism
variable neighbourhood search
Issue Date: 2014
Publisher: Institute of SANU, Belgrade
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.
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.
Type: Journal Article
Rights: Publisher is open-access. Open access publishing allows free access to and distribution of published articles where the author retains copyright of their work by employing a Creative Commons attribution licence. Proper attribution of authorship and correct citation details should be given.
Affiliation: HEC Montreal
Mathematical Institute SANU
Mathematics - CSM Dept

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