The Erdos-Sos conjecture for graphs of girth 5

被引：40
|
作者：
Brandt, S
Dobson, E
机构：
[1] FREE UNIV BERLIN,FB MATH,D-14195 BERLIN,GERMANY
[2] LOUISIANA STATE UNIV,DEPT MATH,BATON ROUGE,LA 70803
来源：
DISCRETE MATHEMATICS | 1996年 / 150卷 / 1-3期
关键词：
Erdos-Sos conjecture; tree; girth;
D O I：
10.1016/0012-365X(95)00207-D
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that every graph of girth at least 5 with minimum degree delta greater than or equal to k/2 contains every tree with k edges, whose maximum degree does not exceed the maximum degree of the graph. An immediate consequence is that the famous Erdos-Sos Conjecture, saying that every graph of order n with more than n(k - 1)/2 edges contains every tree with k edges, is true for graphs of girth at least 5.
引用
收藏
页码：411 / 414
页数：4
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