Results 1 to 10 of about 3,662 (119)

A Survey on Packing Colorings

open access: yesDiscussiones Mathematicae Graph Theory, 2020
If S = (a1, a2, . . .) is a non-decreasing sequence of positive integers, then an S-packing coloring of a graph G is a partition of V (G) into sets X1, X2, . . .
Brešar Boštjan   +3 more
doaj   +4 more sources

Packing coloring of generalized Sierpinski graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2019
The packing chromatic number $\chi_{\rho}(G)$ of a graph $G$ is the smallest integer $c$ such that the vertex set $V(G)$ can be partitioned into sets $X_1, . . .
Danilo Korze, Aleksander Vesel
doaj   +3 more sources

Independence Number and Packing Coloring of Generalized Mycielski Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2021
For a positive integer k ⩾ 1, a graph G with vertex set V is said to be k-packing colorable if there exists a mapping f : V ↦ {1, 2, . . ., k} such that any two distinct vertices x and y with the same color f(x) = f(y) are at distance at least f(x) + 1 ...
Bidine Ez Zobair   +2 more
doaj   +3 more sources

Notes on complexity of packing coloring [PDF]

open access: yesInformation Processing Letters, 2018
9 pages, 2 ...
Minki Kim   +2 more
exaly   +5 more sources

Grundy packing coloring of graphs

open access: yesDiscrete Applied Mathematics
16 pages, 5 figures, 6 tables, 37 ...
Didem Gözüpek, Iztok Peterin
exaly   +4 more sources

Counting packings of list-colorings of graphs

open access: yesEnumerative Combinatorics and Applications
11 ...
Hemanshu Kaul, Jeffrey A. Mudrock
doaj   +3 more sources

Packing Coloring of Some Undirected and Oriented Coronae Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that its set of vertices V(G) can be partitioned into k disjoint subsets V1, . . . , Vk, in such a way that every two distinct vertices in Vi are at distance greater than i in
Laïche Daouya   +2 more
doaj   +4 more sources

Facial packing edge-coloring of plane graphs

open access: yesDiscrete Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Julius Czap, Stanislav Jendrol’
exaly   +2 more sources

Packing coloring of hypercubes with extended Hamming codes

open access: yesDiscrete Applied Mathematics
A {\em packing coloring} of a graph $G$ is a mapping assigning a positive integer (a color) to every vertex of $G$ such that every two vertices of color $k$ are at distance at least $k+1$. The least number of colors needed for a packing coloring of $G$ is called the {\em packing chromatic number} of $G$.
Petr Gregor, Kenny Štorgel
exaly   +4 more sources

Modeling the packing coloring problem of graphs

open access: yesApplied Mathematical Modelling, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zehui Shao, Aleksander Vesel
exaly   +3 more sources

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