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On the nullity of bipartite graphs
Authors:Yi-Zheng Fan  Ke-Shi Qian  
Institution:aSchool of Mathematical Sciences, Anhui University, Hefei 230039, PR China
Abstract:The nullity of a graph is defined to be the multiplicity of the eigenvalue zero in the spectrum of the adjacency matrix of the graph. In this paper, we obtain the nullity set of bipartite graphs of order n, and characterize the bipartite graphs with nullity n-4 and the regular bipartite graphs with nullity n-6.
Keywords:Bipartite graphs  Nullity  Spectrum
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