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

页码：298 / 307

页数：10

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