Jun 29, 2018 · A clique is an induced subgraph that is itself complete graph. What's an induced subgraph? Ans: Given a graph, we pick a set of vertices and construct a subgraph. But now if we …

Recalling that a clique is a subset $C$ of vertices of an undirected graph such that the subgraph induced by $C$ is fully connected. That is, every two distinct vertices in $C$ are connected by a …

In this Wikipedia article about the Clique problem in graph theory it states in the beginning that the problem of finding a clique of size K, in a graph G is NP-complete: Cliques have also been s...

Jun 27, 2025 · What is the cliquewidth of a hypercube graph? Ask Question Asked 5 months ago Modified 5 months ago

Dec 4, 2012 · I am really confused about clique problem and clique cover problem. I tried googling it,but I don't see to be able to visualise the clique cover problem.

0 The CLIQUE problem -- problem of finding the maximum clique in a graph -- is NP-complete. That is, CLIQUE is in NP and there is an NP complete problem, 3-SAT for one, that reduces to CLIQUE in …

Jan 12, 2023 · That said, there's a difference between brute forces (PDF). You can enumerate maximal cliques, you can try to use SAT solvers or ILP. You can try with branch & bound, and branch & …

Apr 29, 2015 · Every subgraph must be a complete graph/clique No vertex can be part of two or more subgraphs Subgraphs that can be merged with other subgraphs while remaining complete cannot …

So assuming that the graph is sparse doesn't make it much easier to find its largest clique. In particular, determining whether a sparse graph has a clique of given size (which is part of the input) is NP …

Mar 3, 2016 · My question is simple: does any body know where can I find the proof that MAX CLIQUE is NP-HARD? Remarks: MAX CLIQUE is the decision problem defined as follows:Given a graph $G$ …