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Results tagged with graph-theory
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user 506896
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.
2
votes
1
answer
78
views
NP-hardness of vertex cover for 3-chromatic graphs
Is the vertex cover problem remains NP-hard for 3-chromatic graphs?
I am almost certain it is, but was unable to find a reference.
Thanks.
1
vote
1
answer
120
views
Extremal graph theory - many copies of $K_r$ imply a copy of $r$-chromatic $H$
I know that it must be a simple consequence of the Kővári–Sós–Turán (and Erdős–Stone) theorem, but I am struggling to formulate a proof: Let $H$ be a fixed-size $r$-chromatic graph. Then there exists …