|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
This item is protected by original copyright
Items in the Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
If you believe that any material held in STORRE infringes copyright, please contact firstname.lastname@example.org providing details and we will remove the Work from public display in STORRE and investigate your claim.