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2
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0answers
141 views

A variant of the Maximum Weight Clique problem

I am trying to solve a problem that I could reduce to the following: Given a graph $G=(V,E)$ with both edge and vertex weights, all weights being non-negative, find a clique $Q\subseteq V$ s.t. $\sum_{...
6
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1answer
207 views

Intersection models for weakly chordal graphs?

Due to the apparent unpopularity of my previous posts, I'd like to post a question about graph theory which seems to be a popular topic here :) Among the many known classes of perfect graphs, there ...
7
votes
1answer
277 views

Chromatic number of G+v where G is a cograph

Cograph is a well-know graph that does not have induced $P_4$. My questions are about determining the chromatic number of graphs in the class cograph+v. Notations: Denote by $\chi(G)$ the chromatic ...
5
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0answers
101 views

Testbed of perfect graphs

Is there a publicly available testbed of perfect graphs? Ideally, the number of vertices should be 100 or more.