SELF-SIMILARITY OF GRAPHS

被引：12
|
作者：
Lee, Choongbum [1 ]
Loh, Po-Shen [2 ]
Sudakov, Benny [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA
[2] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 2013年 / 27卷 / 02期
基金：
美国国家科学基金会;
关键词：
isomorphic factorization; isomorphic subgraphs; divisible graphs; ISOMORPHIC FACTORIZATIONS; TREES;
D O I：
10.1137/120861436
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An old problem raised independently by Jacobson and Schonheim seeks to determine the maximum s for which every graph with m edges contains a pair of edge-disjoint isomorphic subgraphs with s edges. In this paper we determine this maximum up to a constant factor. We show that every m-edge graph contains a pair of edge-disjoint isomorphic subgraphs with at least c(m log m)(2/3) edges for some absolute constant c, and find graphs where this estimate is off only by a multiplicative constant. Our results improve bounds of Erdos, Pach, and Pyber from 1987.
引用
收藏
页码：959 / 972
页数：14
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