Browsing Mathematics (Faculty of) by Subject "odd holes"
Now showing items 1-2 of 2
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Detecting an Odd Hole
(Association for Computing Machinery, 2020-02)We give a polynomial-time algorithm to test whether a graph contains an induced cycle with length more than three and odd. -
Induced subgraphs of graphs with large chromatic number. VIII. Long odd holes
(Elsevier, 2020-01)We prove a conjecture of András Gyárfás, that for all k, l, every graph with clique number at most κ and sufficiently large chromatic number has an odd hole of length at least ℓ.