|Appears in Collections:||Computing Science and Mathematics Research Reports|
|Peer Review Status:||Refereed|
|Title:||Spectral Reconstruction and Isomorphism of graphs using variable neighbourhood search|
|Citation:||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.|
variable neighbourhood search
|Series/Report no.:||Les Cahiers du GERAD, G-2013-73|
|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 algorithm for 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+K 2 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.|
|Rights:||Authors retain copyright.|
Mathematical Institute SANU
Mathematics - CSM Dept
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