Zero-divisor graphs and total coloring conjecture

被引：1
|
作者：
Nilesh Khandekar
Vinayak Joshi
机构：
[1] Savitribai Phule Pune University,Department of Mathematics
来源：
Soft Computing | 2020年 / 24卷
关键词：
Zero-divisor graphs; Coloring of a graph; Total coloring conjecture; Pseudocomplemented poset; Direct product of posets; Reduced ring;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove that the zero-divisor graphs of a special class of pseudocomplemented posets satisfy the total coloring conjecture. Also, we determine the edge chromatic number of the zero-divisor graphs of this special class of pseudocomplemented posets. These results are applied to zero-divisor graphs of finite reduced commutative rings.
引用
收藏
页码：18273 / 18285
页数：12
相关论文
共 50 条
  • [41] Zero-divisor graphs for semigroups of order 7
    Sauer, Johnothon
    Smith, Tara L.
    SEMIGROUP FORUM, 2015, 90 (01) : 155 - 173
  • [42] Energy and Wiener Index of Zero-Divisor Graphs
    Ahmadi, Mohammad Reza
    Nezhad, Reza Jahani
    IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2011, 2 (01): : 45 - 51
  • [43] On endomorphism-regularity of zero-divisor graphs
    Lu, Dancheng
    Wu, Tongsuo
    DISCRETE MATHEMATICS, 2008, 308 (20) : 4811 - 4815
  • [44] On the zero-divisor graphs of finite free semilattices
    Toker, Kemal
    TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (04) : 824 - 831
  • [45] COMMUTATIVE RINGS WITH TOROIDAL ZERO-DIVISOR GRAPHS
    Chiang-Hsieh, Hung-Jen
    Smith, Neal O.
    Wang, Hsin-Ju
    HOUSTON JOURNAL OF MATHEMATICS, 2010, 36 (01): : 1 - 31
  • [46] The compressed zero-divisor graphs of order 4
    Monastyreva, A. S.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (09)
  • [47] The Zero-divisor Graphs of Abelian Regular Rings
    卢丹诚
    佟文廷
    Communications in Mathematical Research, 2004, (03) : 339 - 348
  • [48] A note on independent domination of zero-divisor graphs
    Mojdeh, Doost Ali
    Habibi, Mohammad
    UTILITAS MATHEMATICA, 2017, 103 : 167 - 173
  • [49] Zero-Divisor Graphs of Rings and Their Hermitian Matrices
    Lu Lu
    Lihua Feng
    Weijun Liu
    Guihai Yu
    Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
  • [50] Zero-divisor graphs of matrices over lattices
    Khiste, Anagha
    Joshi, Vinayak
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2016, 8 (04)
12345