6 citations · 18 across the 7 of their papers we have counts for
4 papers · 1 filter
A positive instance of Scott's Conjecture on induced subdivisions
Kathie Cameron, Ni Luh Dewi Sintiari, Sophie Spirkl
For a graph , denotes the chromatic number of and denotes the size of the largest clique in . A hereditary class of graphs is called -bounded if there is…
Recoloring via modular decomposition
Manoj Belavadi, Kathie Cameron, Ni Luh Dewi Sintiari
The reconfiguration graph of the -colorings of a graph , denoted , is the graph whose vertices are the -colorings of and two colorings are adjacent in $R_{k}…
When all holes have the same length
Jake Horsfield, Myriam Preissmann, Cléophée Robin +3
For every integer , we give a structural description of the class of graphs whose chordless cycles of length at least 4 all have length .
Graphs with all holes the same length
Linda Cook, Jake Horsfield, Myriam Preissmann +5
A graph is "-holed" if all its induced cycles of length at least four have length exactly . We give a complete description of the -holed graphs for each $\ell\ge…