Zero Forcing Sets and Bipartite Circulants

Details Zero Forcing Sets and Bipartite Circulants Zero Forcing Sets and Bipartite Circulants

2010-11-26

arxiv.org/abs/1011.5851v1

Mathematics

Combinatorics

22 pages, 13 figures

Scientific paper

In this paper we introduce a class of regular bipartite graphs whose biadjacency matrices are circulant matrices and we describe some of their properties. Notably, we compute upper and lower bounds for the zero forcing number for such a graph based only on the parameters that describe its biadjacency matrix. The main results of the paper characterize the bipartite circulant graphs that achieve equality in the lower bound.

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