Results 61 to 70 of about 5,252 (152)

Coloring, List Coloring, and Painting Squares of Graphs (and other related problems)

open access: yes, 2023
We survey work on coloring, list coloring, and painting squares of graphs; in particular, we consider strong edge-coloring. We focus primarily on planar graphs and other sparse classes of graphs.Comment: 32 pages, 13 figures and tables, plus 195-entry ...
Cranston, Daniel W.
core  

Comparing First-Fit and Next-Fit for Online Edge Coloring

open access: yes, 2009
We study the performance of the algorithms First-Fit and Next-Fit for two online edge coloring problems. In the min-coloring problem, all edges must be colored using as few colors as possible.
Favrholdt, Lene Monrad; id_orcid   +3 more
core   +1 more source

Strong edge-coloring of graphs with maximum edge weight seven

open access: yesJournal of Combinatorial Optimization
A strong edge-coloring of a graph $G$ is an edge-coloring such that any two edges of distance at most two receive distinct colors. The minimum number of colors we need in order to give $G$ a strong edge-coloring is called the strong chromatic index of $G$, denoted by $χ_s'(G)$.
openaire   +2 more sources

Strong edge-colorings of sparse graphs with large maximum degree

open access: yes, 2018
A strong k-edge-coloring of a graph G is a mapping from E(G) to {1, 2, ... , k} such that every two adjacent edges or two edges adjacent to the same edge receive distinct colors.
André Raspaud   +7 more
core   +1 more source

Exploiting structure to cope with NP-hard graph problems: Polynomial and exponential time exact algorithms [PDF]

open access: yes, 2010
An ideal algorithm for solving a particular problem always finds an optimal solution, finds such a solution for every possible instance, and finds it in polynomial time.
VAN-'T-HOF, PIM
core  

Graph coloring under constraints

open access: yes, 2020
Dans cette thèse, nous nous intéressons à différentes notions de colorations sous contraintes. Nous nous intéressons plus spécialement à la coloration acyclique, à la coloration forte d'arêtes et à la coloration d'arêtes sommets adjacents distinguants ...
HOCQUARD, Hervé
core  

Home - About - Disclaimer - Privacy