On finding the number of graph automorphisms

This paper investigate the enumerability of the function #GA, the number of automorphisms of an undirected graph, in relation to the computational complexity of GI, the Graph Isomorphism problem. A function f (on graphs) is b(n)-enumerable if there exists a function g ¿ PF such that for all n-node g...

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Detalhes bibliográficos
Autores: Chang, Richard, Gasarch, William, Torán Romero, Jacobo
Formato: informe técnico
Fecha de publicación:1994
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/370819
Acesso em linha:https://hdl.handle.net/2117/370819
Access Level:acceso abierto
Palavra-chave:Isomorphisms (Mathematics)
Isomorfismes (Matemàtica)
Àrees temàtiques de la UPC::Informàtica
Descrição
Resumo:This paper investigate the enumerability of the function #GA, the number of automorphisms of an undirected graph, in relation to the computational complexity of GI, the Graph Isomorphism problem. A function f (on graphs) is b(n)-enumerable if there exists a function g ¿ PF such that for all n-node graphs G, g(G) lists b(n) numbers, one of which is f(G). The results in this paper show the following connections between the enumerability of #GA and the Graph Isomorphism problem.