Results 11 to 20 of about 4,092 (253)

Online Interval Coloring with Packing Constraints [PDF]

open access: yesTheoretical Computer Science, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leah Epstein, Meital Levy
openaire   +3 more sources

Complexity of the packing coloring problem for trees

open access: yesDiscrete Applied Mathematics, 2008
A packing \(k\)-colouring of a graph \(G=(V,E)\) is a list \((X_1, X_2, \dots, X_k)\) of sets with \(\bigcup_{i=1}^k X_i = V\), such that for every index \(i\) with \(1 \leq i \leq k\), every pair of different vertices \(u,v \in X_i\) has distance at least \(i\) in \(G\) [see \textit{B. Brešar}, \textit{S. Klavžar}, and \textit{D.F.
Jirí Fiala 0001, Petr A. Golovach
openaire   +3 more sources

On packing and coloring hyperedges in a cycle

open access: yesDiscrete Applied Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianping Li 0007   +2 more
openaire   +2 more sources

Every subcubic graph is packing (1,1,2,2,3)-colorable

open access: yesDiscrete Mathematics
9 pages, 2 ...
Xujun Liu, Xin Zhang, Yanting Zhang
openaire   +3 more sources

On the Packing Partitioning Problem on Directed Graphs

open access: yesMathematics, 2021
This work is aimed to continue studying the packing sets of digraphs via the perspective of partitioning the vertex set of a digraph into packing sets (which can be interpreted as a type of vertex coloring of digraphs) and focused on finding the minimum ...
Babak Samadi, Ismael G. Yero
doaj   +1 more source

Packing list‐colorings

open access: yesRandom Structures & Algorithms, 2023
AbstractList coloring is an influential and classic topic in graph theory. We initiate the study of a natural strengthening of this problem, where instead of one list‐coloring, we seek many in parallel. Our explorations have uncovered a potentially rich seam of interesting problems spanning chromatic graph theory. Given a ‐list‐assignment of a graph ,
Stijn Cambie   +3 more
openaire   +7 more sources

Graphs that are Critical for the Packing Chromatic Number

open access: yesDiscussiones Mathematicae Graph Theory, 2022
Given a graph G, a coloring c : V (G) → {1, …, k} such that c(u) = c(v) = i implies that vertices u and v are at distance greater than i, is called a packing coloring of G.
Brešar Boštjan, Ferme Jasmina
doaj   +1 more source

On the Descriptive Complexity of Color Coding

open access: yesAlgorithms, 2021
Color coding is an algorithmic technique used in parameterized complexity theory to detect “small” structures inside graphs. The idea is to derandomize algorithms that first randomly color a graph and then search for an easily-detectable, small color ...
Max Bannach, Till Tantau
doaj   +1 more source

Be3Ru: Polar Multiatomic Bonding in the Closest Packing of Atoms

open access: yesChemistryOpen, 2022
The new phase Be3Ru crystallizes with TiCu3‐type structure (space group Pmmn (59), a=3.7062(1) Å, b=4.5353(1) Å, c=4.4170(1) Å), a coloring variant of the hexagonal closest packing (hcp) of spheres.
Laura Agnarelli   +7 more
doaj   +1 more source

On Colorful Bin Packing Games [PDF]

open access: yes, 2018
We consider colorful bin packing games in which selfish players control a set of items which are to be packed into a minimum number of unit capacity bins. Each item has one of $m\geq 2$ colors and cannot be packed next to an item of the same color. All bins have the same unitary cost which is shared among the items it contains, so that players are ...
Vittorio Bilò   +3 more
openaire   +4 more sources

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