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A note on vertex-critical induced subgraphs of shift graphs

Kaiser, Tomáš et al.
arXiv (All) · Papers
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05c15combinatorics
Shift graphs, introduced by Erdős and Hajnal in 1964, form one of the simplest known non-recursive constructions of triangle-free graphs with arbitrarily large chromatic number. In this note, we identify a surprising property: for each integer $k \geq 1$, the smallest $k$-chromatic shift graph conta
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