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math.CO2026
Two Relaxations of the Dominating Hadwiger's Conjecture
António Girão, Sergey Norin, Youri Tamitegama +1
Illingworth and Wood recently proposed the Dominating Hadwiger's Conjecture, a strengthening of Hadwiger's Conjecture which asserts that every graph with no dominating -model…
math.CO2026
The Dominating 4-Colour Theorem
António Girão, Freddie Illingworth, Bojan Mohar +6
A "dominating -model" in a graph is a sequence of pairwise vertex-disjoint connected subgraphs of , such that whenever every vertex…