REGULAR MAPS FROM CAYLEY-GRAPHS .1. BALANCED CAYLEY MAPS

被引:67
作者
SKOVIERA, M [1 ]
SIRAN, J [1 ]
机构
[1] SLOVAK UNIV TECHNOL BRATISLAVA, DEPT MATH, SVF, CS-81368 BRATISLAVA, CZECHOSLOVAKIA
关键词
D O I
10.1016/0012-365X(92)90296-R
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A Cayley map is a Cayley graph 2-cell embedded in some orientable surface so that the local rotations at every vertex are identical. Two types of Cayley maps are introduced: the balanced and antibalanced Cayley maps. In Part 1, conditions are given under which a balanced Cayley map is regular or reflexible, and automorphism groups of such maps are determined. In addition, a characterization of regular balanced Cayley maps is presented.
引用
收藏
页码:265 / 276
页数:12
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