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math.CO2021
Density maximizers of layered permutations
Adam Kabela, Daniel Kral, Jonathan A. Noel +1
A permutation is layered if it contains neither 231 nor 312 as a pattern. It is known that, if is a layered permutation, then the density of in a permutation of order i…
math.CO2021
Forbidden induced pairs for perfectness and -colourability of graphs
Maria Chudnovsky, Adam Kabela, Binlong Li +1
We characterise the pairs of graphs such that all -free graphs (distinct from ) are perfect. Similarly, we characterise pairs such that a…
math.CO2021
Forbidden induced subgraphs for perfectness of claw-free graphs of independence number at least 4
Christoph Brause, Trung Duy Doan, Přemysl Holub +4
For every graph , we consider the class of all connected -free graphs which are distinct from an odd cycle and have independence number at least , and we show…