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圈的定向距离图的性质
引用本文:任秋道,何继标,黄琼湘. 圈的定向距离图的性质[J]. 四川师范大学学报(自然科学版), 2007, 30(2): 185-187
作者姓名:任秋道  何继标  黄琼湘
作者单位:绵阳师范学院,数学与信息科学系,四川,绵阳,621000;新疆大学,数学与统计科学学院,新疆,乌鲁木齐,830046
基金项目:四川省教育厅自然科学基金
摘    要:图G的两个定向D与D’的定向距离d0(D,D')是指与D’同构的定向与D之间不相同的弧数的最小值.G的定向距离图D0(G)的顶点是互不同构的定向,如果d0(D,D')=1,则D与D在D0(G)中相邻,并获得定向距离图D0(Cn)的性质.

关 键 词:同构  定向距离图  定向表示
文章编号:1001-8395(2007)02-0185-03
收稿时间:2005-03-14
修稿时间:2005-03-14

Characteristics of Orientation Distance Graphs of Cycles
REN Qiu-dao,HE Ji-biao,HUANG Qiong-xiang. Characteristics of Orientation Distance Graphs of Cycles[J]. Journal of Sichuan Normal University(Natural Science), 2007, 30(2): 185-187
Authors:REN Qiu-dao  HE Ji-biao  HUANG Qiong-xiang
Affiliation:1. Department of Mathematics and hzformation Science, Mianyang Normal College, Mianyang 621000, Sichuan 2. College of Mathematics and Systematics, Xinfiang University, Wulumuqi 830046, Xinjiang
Abstract:For two nonisomorphic orientations D and D' of a graph G,the orientation distance d0(D,D') between D and D' is the minimum number of arcs of D whose directions must be reversed to produce an orientation isomorphic to D'.The orientation distance graph D0(G) of G has the set O(G) of pairwise nonisomorphic orientations of G as its vertex set and two vertices D and D' of D0(G) are adjacent if and only if d0(D,D')=1.This paper obtains characteristics of orientation distance graphs of cycles.
Keywords:Isomorphism   Orientation distance   Orientation representation
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