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On the nullity of bipartite graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2009 English Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 430, pages 2,943-2,949 (issn: 0024-3795, Copyright policy )
Authors: Yi-Zheng Fan; Ke-Shi Qian;

doi: 10.1016/j.laa.2009.01.007

On the nullity of bipartite graphs

Abstract

AbstractThe 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.

Related Organizations
Keywords

Numerical Analysis, Algebra and Number Theory, Spectrum, Discrete Mathematics and Combinatorics, Geometry and Topology, Nullity, Bipartite graphs

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
66
Top 10%
Top 10%
Top 10%
hybrid