Two reductions of graph isomorphism to problems on polynomials
β Scribed by D. Yu. Grigor'ev
- Publisher
- Springer US
- Year
- 1982
- Tongue
- English
- Weight
- 287 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
For a subset S of a group G such that 1 / β S and S = S -1 , the associated Cayley graph Cay(G, S) is the graph with vertex set G such that {x, y} is an edge if and only if yx -1 β S. Each Ο β Aut(G) induces an isomorphism from Cay(G, S) to the Cayley graph Cay(G, S Ο ). For a positive integer m, th
In this paper an isomorphism testing algorithm for graphs in the family of all cubic metacirculant graphs with non-empty first symbol So is given. The time complexity of this algorithm is also evaluated.
In this short paper, we present a solution to Gutman's problem on the characteristic polynomial of a bipartite graph (Research Problem 134, Discrete Math. 88 (1991)). In [2] I. Gutman proposed a research problem which is stated as follows. The matchings polynomial of a graph G is defined by cl(G,x)