CORRIGENDUM TO THE MINIMUM MATCHING ENERGY OF BICYCLIC GRAPHS WITH GIVEN GIRTH

被引:0
|
作者
Ma, Gang [1 ]
Ji, Shengjin [1 ]
Wang, Jianfeng [1 ]
机构
[1] Shandong Univ Technol, Sch Math & Stat, Zibo, Shandong, Peoples R China
关键词
Matching energy; bicyclic graph; girth; RESPECT;
D O I
10.1216/RMJ-2018-48-6-1983
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The matching energy of a graph was introduced by Gutman and Wagner in 2012 and defined as the sum of the absolute values of zeros of its matching polynomial. In [16], the main result, Theorem 3.4, is in error. In this paper, the correct result is given.
引用
收藏
页码:1983 / 1992
页数:10
相关论文
共 50 条
  • [41] Total Domination in Graphs with Given Girth
    Michael A. Henning
    Anders Yeo
    Graphs and Combinatorics, 2008, 24 : 333 - 348
  • [42] The forcing number of graphs with given girth
    Davila, Randy
    Henning, Michael A.
    QUAESTIONES MATHEMATICAE, 2018, 41 (02) : 189 - 204
  • [43] Sharp upper bounds on Zagreb indices of bicyclic graphs with a given matching number
    Li, Shuchao
    Zhao, Qin
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (11-12) : 2869 - 2879
  • [44] On universal graphs for planar oriented graphs of a given girth
    Borodin, OV
    Kostochka, AV
    Nesetril, J
    Raspaud, A
    Sopena, E
    DISCRETE MATHEMATICS, 1998, 188 (1-3) : 73 - 85
  • [45] The Minimal Matching Energy of (n, m)-Graphs with a Given Matching Number
    Xu, Kexiang
    Das, Kinkar Ch.
    Zheng, Zhiqing
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2015, 73 (01) : 93 - 104
  • [46] MINIMUM WIENER INDICES OF TREES AND UNICYCLIC GRAPHS OF GIVEN MATCHING NUMBER
    Du, Zhibin
    Zhou, Bo
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2010, 63 (01) : 101 - 112
  • [47] On Minimal Matching Energy of Unicyclic Graphs with Prescribed Girth and Pendent Vertices
    Li, Hong-Hai
    Shi, Ming
    UTILITAS MATHEMATICA, 2018, 108 : 293 - 306
  • [48] On the Hosoya index and the Merrifield-Simmons index of bicyclic graphs with given matching number
    Zhu, Zhongxun
    ARS COMBINATORIA, 2016, 128 : 117 - 126
  • [49] Small graphs and hypergraphs of given degree and girth
    Erskine, Grahame
    Tuite, James
    ELECTRONIC JOURNAL OF COMBINATORICS, 2023, 30 (01):
  • [50] Maximizing the spectral radius of bicyclic graphs with fixed girth
    Zhai, Mingqing
    Wu, Yarong
    Shu, Jinlong
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (5-7) : 716 - 723