An L-edge-colouring of a graph G is an edge-colouring in which each edge e receives a colour from a prescribed list L ( e ) of permissible colours.

Nov 8, 2023 · The List Colouring Conjecture has been confirmed for several classes of graphs including d-regular, d-edge-colourable planar graphs by Ellingham ...

Jul 29, 2020 · The famous List Colouring Conjecture from the 1970s states that for every graph G the chromatic index of G is equal to its list chromatic index.

Apr 12, 2024 · The famous List Colouring Conjecture from the 1970s states that for every graph G the chromatic index of G is equal to its list chromatic ...

The famous List Colouring Conjecture from the 1970s states that for every graph $G$ the chromatic index of $G$ is equal to its list chromatic index.

First, we construct strictly local multi-step Vizing chains and use them to show a local version of Vizings Theorem thus confirming a recent conjecture of ...

Edge-colouring graphs with local list sizes ; Journal: Journal of Combinatorial Theory, Series B, 2024, p. 68-96 ; Publisher: Elsevier BV ; Authors: Marthe Bonamy, ...

Nov 22, 2023 · The famous List Colouring Conjecture from the 1970s states that for every graph G the chromatic index of G is equal to its list chromatic ...

A local edge coloring of G is a proper edge coloring c : E → N such that for each subset S of E(G) with 2 ≤ | S | ≤ 3 , there exist edges e , f ∈ S.

We give a short and completely self‐contained proof by analyzing a probability distribution on independent sets known as the hard‐core model in triangle‐free ...