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Mycielski Graphs and the Grötzsch Graph by Dewi Yanwari Madyaratri is a document available to read on EtoBox.

What is Mycielski Graphs and the Grötzsch Graph about?

The document uses induction to prove that for any graph G that does not contain an induced subgraph isomorphic to P4, the chromatic number of G is equal to the clique number of G. It begins by proving the base case for k=1,2 graphs. Then it assumes the result holds for some k-graph Mk and constructs a (k+1)-graph Mk+1 to prove the result holds for k+1. Finally, it proves that for any graph G with n+1 vertices that does not contain P4 as an induced subgraph, if G is disconnected then the chromatic number equ

Author

Dewi Yanwari Madyaratri

Language

EN