In 1943, Hadwiger conjectured that every graph with no $ K_t $ minor is $(t-1) $-colorable
for every $ t\ge 1$. In the 1980s, Kostochka and Thomason independently proved that every …

Further Progress towards Hadwiger's Conjecture Page 1 Further Progress towards Hadwiger’s
Conjecture Luke Postle University of Waterloo Oxford Discrete Mathematics and Probability …

In 1943, Hadwiger conjectured that every graph with no K t+ 1 minor is t-colorable for every
t≥ 0. While Hadwiger's conjecture does not hold for list-coloring, the linear weakening is …

In 1943, Hadwiger conjectured that every graph with no $ K_t $ minor is $(t-1) $-colorable
for every $ t\ge 1$. In the 1980s, Kostochka and Thomason independently proved that every …

For integers and, let be the least integer such that every graph with chromatic number at
least contains a-connected subgraph with chromatic number at least. Refining the recent …

Recent progress towards Hadwiger's conjecture Page 1 Recent progress towards Hadwiger’s
conjecture Sergey Norin Abstract In 1943 Hadwiger conjectured that every graph with no Kt minor …

We prove that for every path HH, and every integer dd, there is a polynomial ff such that
every graph GG with chromatic number greater than f (t) f(t) either contains HH as an …

Hadwiger's conjecture, among the most famous open problems in graph theory, states that
every graph that does not contain K t as a minor is properly (t− 1)-colorable. The purpose of …

It is proved that for every $\varepsilon> 0$, there exists $ K> 0$ such that for every integer $
t\ge2 $, every graph with chromatic number at least $ Kt $ contains a minor with $ t $ vertices …