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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).
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, ...