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author:

Rula, Sa (Rula, Sa.) [1] | Chang, An (Chang, An.) [2] (Scholars:常安) | Zheng, Yirong (Zheng, Yirong.) [3]

Indexed by:

Scopus SCIE

Abstract:

The nullity of a graph G, denoted by eta(G), is the multiplicity of the eigenvalue zero of its adjacency matrix. In this paper, we determine all graphs with eta(G) = n(G) - 2m(G) - c(G), where c(G) = e(G) - n(G) + omega(G), and n(G), e(G), m(G), and omega(G) are the vertex number, edge number, matching number, and the number of connected components of G, respectively.

Keyword:

matching number nullity of graph

Community:

  • [ 1 ] [Rula, Sa]Fuzhou Univ, Ctr Discrete Math, Fuzhou, Fujian, Peoples R China
  • [ 2 ] [Chang, An]Fuzhou Univ, Ctr Discrete Math, Fuzhou, Fujian, Peoples R China
  • [ 3 ] [Zheng, Yirong]Fuzhou Univ, Ctr Discrete Math, Fuzhou, Fujian, Peoples R China
  • [ 4 ] [Zheng, Yirong]Xiamen Univ Technol, Sch Appl Math, Xiamen, Fujian, Peoples R China

Reprint 's Address:

  • 萨如拉

    [Rula, Sa]Fuzhou Univ, Ctr Discrete Math, Fuzhou, Fujian, Peoples R China

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Source :

JOURNAL OF INEQUALITIES AND APPLICATIONS

ISSN: 1029-242X

Year: 2016

0 . 7 9 1

JCR@2016

1 . 5 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:76

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 24

SCOPUS Cited Count: 24

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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