Algorithms for computing the Automorphism Group of a Graph and Sub Graph Isomorphism
نویسنده
چکیده
In this report we present a brief survey of the existing algorithms for Computing the Automorphism Group of a graph, algorithms to compute Sub Graph Isomorphism(SGI) and also present some important results on Spectrum of a Graph. Graph Isomorphism(GI) has been a great interest of computer scientists the problem of SGI has been proved to be a NP-Complete problem however the complexity class of GI is still unknown. Several polynomial time algorithms were given in the literature for the restricted version of the GI problem but the problem of finding a polynomial time algorithm for GI is still open. GI algorithms can be classifed into two categories the first category of algorithms are based on algebraic group theory and second category of algorithms are based on computing the specturm of the adjacency matrix of the graph. In this report we present the key ideas for computing the automorphisms of a graph in [McK78] and algorithms for computing the sub graph isomorphism in [Ull76], these two papers are based on key ideas presented in [CG70].
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