#StackBounty: #graphs #reference-request #clique Number of maximal cliques in a ($2C_4$, $C_5$, $P_5$)-free graph

Bounty: 50

So far, I have found out that chordal graphs have linear number of maximal cliques with respect to the number of vertices.
In general case, it is exponential.

I am trying to determine whether the number of maximal cliques in a $(2C_4, C_5,P_5)$-free graph with respect to the number of vertices.

In a $(2C_4, C_5,P_5)$-free graph, the largest induced cycle is of length 4, and no two 4-cycles are edge-disjoint.

Is there a paper that mentions such result?


Get this bounty!!!

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