The strong perfect graph theorem

@article{Murray2019TheSP,
  title={The strong perfect graph theorem},
  author={A. M. Murray},
  journal={100 Years of Math Milestones},
  year={2019}
}
  • A. M. Murray
  • Published 12 June 2019
  • Mathematics
  • 100 Years of Math Milestones
In 1960 Berge came up with the concept of perfect graphs, and in doing so, conjectured some characteristics about them. A perfect graph is a graph in which the chromatic number of every induced subgraph equals the size of the largest clique of that subgraph [2]. Two conjectures are now known as the Perfect Graph Theorem and the Strong Perfect Graph Theorem. Both of these theorems make detemining if a graph is perfect much easier than using the standard definition. Simply looking at any graph… 
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  • Maher Heal
  • Mathematics
    2020 International Conference on Computational Science and Computational Intelligence (CSCI)
  • 2020
The strong perfect graph theorem is the proof of the famous Berge’s conjecture that the graph is perfect if and only if it is free of odd holes and odd anti-holes. The conjecture was settled after 40
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References

A Walk Through Combinatorics