Results 11 to 20 of about 4,061 (147)

New framework for conflict-free coloring of hypergraphs and other graph coloring problems

open access: diamondProcedia Computer Science
Mauro Lucci   +3 more
openaire   +2 more sources

Scheduling Problems and Generalized Graph Coloring [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
We define a new type of vertex coloring which generalizes vertex coloring in graphs, hypergraphs, andsimplicial complexes. To this coloring there is an associated symmetric function in noncommuting variables for whichwe give a deletion-contraction ...
John Machacek
doaj   +1 more source

Zero-Free Intervals of Chromatic Polynomials of Mixed Hypergraphs

open access: yesMathematics, 2022
A mixed hypergraph H is a triple (X,C,D), where X is a finite set and each of C and D is a family of subsets of X. For any positive integer λ, a proper λ-coloring of H is an assignment of λ colors to vertices in H such that each member in C contains at ...
Ruixue Zhang   +2 more
doaj   +1 more source

Coloring the hypergraph of maximal cliques of a graph with no long path

open access: closedDiscrete Mathematics, 2003
Sylvain Gravier   +2 more
openalex   +2 more sources

A Theoretical Investigation Based on the Rough Approximations of Hypergraphs

open access: yesJournal of Mathematics, 2022
Rough sets are a key tool to model uncertainty and vagueness using upper and lower approximations without predefined functions and additional suppositions.
Musavarah Sarwar
doaj   +1 more source

Graphs with coloring redundant edges

open access: yesElectronic Journal of Graph Theory and Applications, 2016
A graph edge is $d$-coloring redundant if the removal of the edge doesnot change the set of $d$-colorings of the graph. Graphs that are toosparse or too dense do not have coloring redundant edges.
Bart Demoen, Phuong-Lan Nguyen
doaj   +1 more source

The 1-2-3 Conjecture for Hypergraphs [PDF]

open access: yes, 2016
A weighting of the edges of a hypergraph is called vertex-coloring if the weighted degrees of the vertices yield a proper coloring of the graph, i.e., every edge contains at least two vertices with different weighted degrees.
Kalkowski, Maciej   +2 more
core   +2 more sources

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