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Necessary and sufficient conditions for quasi-strongly regularity of Graph Product

Tuan Minh Do, Hoa Dinh Vu


A $k$-regular graph ($k\ge 1$) with $n$ vertices is called a quasi-strongly regular graph with parameter $\lambda$ ($\lambda\in\NN$) if any two adjacent vertices have exactly $\lambda$ neighbors in common.A graph product is a binary operation on graphs. In this paper we prove some necessary and sufficient conditions for Decartes Product, Tensor Product, Lexicographical product and Strong product to be quasi-strongly regular.


quasi-strongly regular graph; product graph

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Journal of Computer Science and Cybernetics ISSN: 1813-9663

Published by Vietnam Academy of Science and Technology