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Cvetkovic', D. and Gutman, I. (1972) The Algebraic Multiplicity of the Number Zero in the Spectrum of a Bipartite Graph. Matematicki Vesnik, 9, 141-150.

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• TITLE: A Characterization of Graphs with Rank No More Than 5

  AUTHORS: Haicheng Ma, Xiaohua Liu

  KEYWORDS: Graph, Matrix, Rank, Nullity

  JOURNAL NAME: Applied Mathematics, Vol.8 No.1, January 22, 2017

  ABSTRACT: The rank of a graph is defined to be the rank of its adjacency matrix. In this paper, the Matlab was used to explore the graphs with rank no more than 5; the performance of the proposed method was compared with former methods, which is simpler and clearer; and the results show that all graphs with rank no more than 5 are characterized.