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On the interval number of random graphs

✍ Scribed by Edward R. Scheinerman


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
309 KB
Volume
82
Category
Article
ISSN
0012-365X

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Three results on the interval number of a graph on n vertices are presented. (1) The interval number of almost every graph is between n/4 Ig n and n/4 (this also holds for almost every bipartite graph). ( 2) There exist K+\_,, -free bipartite graphs with interval number at least c(m)n 1-2'Cm+1J/lg