On the Maximum Number of Cliques in a Graph

被引：0
|
作者：
David R. Wood
机构：
[1] Universitat Politècnica de Catalunya,Departament de Matemática Aplicada II
来源：
Graphs and Combinatorics | 2007年 / 23卷
关键词：
extremal graph theory; Turán’s Theorem; clique; Complete subgraph; Degeneracy; Graph minor; Planar graph; -minor; -minor;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A clique is a set of pairwise adjacent vertices in a graph. We determine the maximum number of cliques in a graph for the following graph classes: (1) graphs with n vertices and m edges; (2) graphs with n vertices, m edges, and maximum degree Δ; (3) d-degenerate graphs with n vertices and m edges; (4) planar graphs with n vertices and m edges; and (5) graphs with n vertices and no K5-minor or no K3,3-minor. For example, the maximum number of cliques in a planar graph with n vertices is 8(n − 2).
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页码：337 / 352
页数：15
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