3 papers
math.CO2026
Connectivities for k-knitted graphs and for minimal counterexamples to Hadwiger's Conjecture
Ken-ichi Kawarabayashi, Gexin Yu
For a given subset of a graph , the pair is \emph{knitted} if for every partition of into non-empty subsets , there exist pa…
math.CO2026
Flexible DP-4-coloring of planar graphs without 4-cycles and intersecting triangles
Shu Fang, Runrun Liu, Gexin Yu
Graph coloring with preferences offers a powerful framework for constraint satisfaction problems in which fulfilling every request is impossible but satisfying a guaranteed positiv…
math.CO2025
Connectivity of contraction-critical graphs
Michael Lafferty, Runrun Liu, Martin Rolek +1
Contraction-critical graphs came from the study of minimal counterexamples to Hadwiger's conjecture. A graph is -contraction-critical if it is -chromatic, but any proper mino…