For example, the maximum number of cliques in a planar graph with n vertices is 8(n-2).
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A clique is a set of pairwise adjacent vertices in a graph. ... For example, the maximum number of cliques in a planar graph with n vertices is 8(n − 2).
In the maximum clique problem, the input is an undirected graph, and the output is a maximum clique in the graph. · In the weighted maximum clique problem, the ...
A clique is a set of pairwise adjacent vertices in a graph. ... For example, the maximum number of cliques in a planar graph with n vertices is 8(n − 2).
Jul 19, 2013 · An upper bound on the number of maximal cliques of all graphs is the number of vertices. An upper bound on the size of maximal clique is the maximum node ...
Every toroidal graph G has at most 8 | V ( G ) | + 72 cliques. Moreover, a toroidal graph G has 8 | V ( G ) | + 72 cliques if and only if G is obtained from the ...
May 22, 2024 · The maximal clique is the complete subgraph of a given graph which contains the maximum number of nodes. Examples: Input: N = 4, edges ...
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, ...
The maximum number of cliques in a graph for the following graph classes is determined: graphs with n vertices and m edges, d-degenerate graphs, ...