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Tan, X.Z. and Liu, B.L. (2005) On the Nullity of Unicyclic Graphs. Linear Algebra and Its Applications, 408, 212-220.
https://doi.org/10.1016/j.laa.2005.06.012

has been cited by the following article:

• TITLE: The Inertia Indexes of One Special Kind of Tricyclic Graphs

  AUTHORS: Haicheng Ma, Chengling Xie

  KEYWORDS: Tricyclic Graphs, Positive Inertia Index, Negative Inertia Index, Nullity

  JOURNAL NAME: Applied Mathematics, Vol.10 No.1, January 29, 2019

  ABSTRACT: Let G be a graph and A=(aij)n×n be the adjacency matrix of G, the eigenvalues of A are said to be the eigenvalues of the graph G, and to form the spectrum of this graph. The numbers of positive, negative and zero eigenvalues in the spectrum of the graph G are called positive and negative inertia indexes and nullity of the graph G, are denoted by p(G), n(G), η(G), respectively, and are collectively called inertia indexes of the graph G. The inertia indexes have many important applications in chemistry and mathematics. The purpose of the research of this paper is to calculate the inertia indexes of one special kind of tricyclic graphs. A new calculation method of the inertia indexes of this tricyclic graphs with large vertices is given, and the inertia indexes of this tricyclic graphs with fewer vertices can be calculated by Matlab.