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Results tagged with graph-theory
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user 83972
Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.
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Proving that the complement of a bipartite graph has chromatic number equal to clique number
Let $X$ and $Y$ be the partite sets of our bipartite, and let $H$ be a clique-subgraph of $\overline{G}$. Suppose that $X_H\subseteq X$ and $Y_H\subseteq Y$ be the sets of vertices occurring in $H$, t …
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