ON THE K-DIAMETER OF K-REGULAR K-CONNECTED GRAPHS

被引:1
|
作者
HSU, DF
LUCZAK, T
机构
[1] ADAM MICKIEWICZ UNIV POZNAN,DEPT DISCRETE MATH,PL-60769 POZNAN,POLAND
[2] FORDHAM UNIV,DEPT COMP & INFORMAT SCI,BRONX,NY 10458
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the k-diameter of k-regular k-connected graphs. Among other results, we show that every k-regular k-connected graph on n vertices has k-diameter at most n/2 and this upper bound cannot be improved when n = 4k - 6 + i(2k - 4). In particular, the maximal 3-diameter of 3-regular graphs with 2n vertices is equal to n.
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页码:291 / 296
页数:6
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