ArticleOriginal scientific text
Title
Isomorphic components of Kronecker product of bipartite graphs
Authors 1, 2, 2
Affiliations
- Department of Computer Engineering, Delhi Institute of Technology: Delhi Kashmere Gate
- Department of Mathematics, PEF, University of Maribor
Abstract
Weichsel (Proc. Amer. Math. Soc. 13 (1962) 47-52) proved that the Kronecker product of two connected bipartite graphs consists of two connected components. A condition on the factor graphs is presented which ensures that such components are isomorphic. It is demonstrated that several familiar and easily constructible graphs are amenable to that condition. A partial converse is proved for the above condition and it is conjectured that the converse is true in general.
Keywords
Kronecker product, bipartite graphs, graph isomorphism
Bibliography
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Pages:
301-309
Main language of publication
English
Received
1997-02-18
Accepted
1997-05-12
Published
1997
Exact and natural sciences