Saturation Numbers for Nearly Complete Graphs

被引:9
|
作者
Faudree, Ralph J. [1 ]
Gould, Ronald J. [2 ]
机构
[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
[2] Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA
关键词
Saturation numbers; Extremal graphs; Complete graphs;
D O I
10.1007/s00373-011-1128-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An upper bound on the saturation number for graphs as well as associated extremal graphs was given by (Kaszonyi and Tuza in J. Graph Theory, 10:203-210, 1986). A minor improvement of that result, which was implied in their paper, will be stated. Using this result, a series of exact saturation numbers and associated extremal graphs will be proved for the nearly complete graphs K (t) - E(L), where L is a graph of order at most 4.
引用
收藏
页码:429 / 448
页数:20
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