We propose to study a problem that arises naturally from both Graph Col- oring with Fixed Orientations, and Additive Coloring (also known as Lucky. Labeling).
Feb 6, 2012 · An additive coloring of a graph G is an assignment of positive integers {1,2,...,k} to the vertices of G such that for every two adjacent ...
The Additive Coloring Problem is a variation of the Coloring Problem where labels of are assigned to the vertices of a graph G so that the sum of labels over ...
Missing: Fixed | Show results with:Fixed
Jul 7, 2023 · ... coloring. Using color set K being a finite additive group is also possible, but has received less attention. Let's call this type of coloring.
Let Γ be an Abelian group and let G be a simple graph. We say that G is Γ -colorable if for some fixed orientation of G and every edge labeling ℓ : E ( G ) ...
Mar 11, 2024 · We first present a proof of the Alon-Tarsi list coloring theorem that differs from the original proof given in [4] .
An additive coloring of a graph G is an assignment of positive integers \({\{1,2,\ldots ,k\}}\) to the vertices of G such that for every two adjacent ...
We describe a novel randomized method, the method of color-coding for finding simple paths and cycles of a specified length k, and other small.
that every additive colouring is a colouring with constant local weight ... Tarsi, Colorings and orientations of graphs, Combinator- ica 12, 125-134 (1992) ...
