ON MAXIMAL TRIANGLE-FREE GRAPHS

被引:0
|
作者
ERDOS, P
HOLZMAN, R
机构
[1] TECHNION ISRAEL INST TECHNOL,DEPT MATH,IL-32000 HAIFA,ISRAEL
[2] WEIZMANN INST SCI,DEPT APPL MATH & COMP SCI,IL-76100 REHOVOT,ISRAEL
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A triangle-free graph is maximal if adding any edge will create a triangle. The minimal number of edges of a maximal triangle-free graph on n vertices having maximal degree at most D is denoted by F(n, D). We determine the value of lim(n-->infinity)F(n, cn)/n for 2/5 < c < 1/2. This investigation continues work done by Z. Furedi and A. Seress. Our result is contrary to a conjecture of theirs. (C) 1994 John Wiley & Sons, Inc.
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页码:585 / 594
页数:10
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