Symplectic graphs over finite commutative rings

被引：8
|
作者：
Meemark, Yotsanan [1 ]
Puirod, Thammanoon [2 ]
机构：
[1] Chulalongkorn Univ, Fac Sci, Dept Math & Comp Sci, Bangkok 10330, Thailand
[2] Mahidol Wittayanusorn Sch, Dept Math, Nakhon Fathom 73170, Thailand
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2014年 / 41卷
关键词：
SUBCONSTITUENTS;
D O I：
10.1016/j.ejc.2014.05.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let V be a symplectic space over a finite commutative ring R and let g(SPR(V)) be the symplectic graph over R. In this work, we show that it is arc transitive and determine the chromatic number. Moreover, if R is a finite local ring, we obtain its automorphism group, and the chromatic number and the automorphism group of each subconstituent. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：298 / 307
页数：10
相关论文
共 50 条
  • [31] REPRESENTATION OF SOME FINITE RINGS BY MATRICES OVER COMMUTATIVE RINGS
    Mekei, A.
    Oyuuntsetseg, L.
    ALGEBRA AND LOGIC, 2014, 53 (04) : 287 - 297
  • [32] On Annihilating Graphs Associated with Modules over Commutative Rings
    Raja, Rameez
    Pirzada, Shariefuddin
    ALGEBRA COLLOQUIUM, 2022, 29 (02) : 281 - 296
  • [33] ZERO DIVISOR GRAPHS FOR MODULES OVER COMMUTATIVE RINGS
    Behboodi, M.
    JOURNAL OF COMMUTATIVE ALGEBRA, 2012, 4 (02) : 175 - 197
  • [34] Symplectic Modules and von Neumann Regular Matrices over Commutative Rings
    Lam, T. Y.
    Swan, R. G.
    ADVANCES IN RING THEORY, 2010, : 213 - +
  • [35] Spectral properties of unitary Cayley graphs of finite commutative rings
    Liu, Xiaogang
    Zhou, Sanming
    ELECTRONIC JOURNAL OF COMBINATORICS, 2012, 19 (04):
  • [36] Realization of zero-divisor graphs of finite commutative rings as threshold graphs
    Raja, Rameez
    Wagay, Samir Ahmad
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024, 55 (02): : 567 - 576
  • [37] Eigenvalues of zero-divisor graphs of finite commutative rings
    Katja Mönius
    Journal of Algebraic Combinatorics, 2021, 54 : 787 - 802
  • [38] On zero-divisor graphs of small finite commutative rings
    Redmond, Shane P.
    DISCRETE MATHEMATICS, 2007, 307 (9-10) : 1155 - 1166
  • [39] Eigenvalues of zero-divisor graphs of finite commutative rings
    Moenius, Katja
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2021, 54 (03) : 787 - 802
  • [40] Weak Zero-Divisor Graphs of Finite Commutative Rings
    Beaugris, L.
    Flores, M.
    Galing, C.
    Velasquez, A.
    Tejada, E.
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2024, 15 (01): : 1 - 8
12345