Coloring, List Coloring, and Painting Squares of Graphs (and other related problems)
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
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
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
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]
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
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
A multi layered encryption framework using intuitionistic fuzzy graphs and graph theoretic domination for secure communication networks. [PDF]
Meenakshi A +4 more
europepmc +1 more source
Fuzzy incidence coloring under structural operations for communication channel allocation. [PDF]
Deji A, Wang Q, Zhou L.
europepmc +1 more source
Structural basis for dimerization, catalytic regulation, and substrate selectivity of the chloroplast S9D CGEP protease in Arabidopsis thaliana. [PDF]
Ehrlich JJ +4 more
europepmc +1 more source
A lightweight cryptographic algorithm incorporating path coloring of cartesian product of graphs. [PDF]
Shivapriya P, Meera KN, Lin Y.
europepmc +1 more source

