Results 1 to 10 of about 94 (94)

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

Cartesian product of hypergraphs: properties and algorithms [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2009
Cartesian products of graphs have been studied extensively since the 1960s. They make it possible to decrease the algorithmic complexity of problems by using the factorization of the product.
Alain Bretto   +2 more
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

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

An abstract approach to polychromatic coloring: Shallow hitting sets in ABA-free hypergraphs and pseudohalfplanes

open access: yesJournal of Computational Geometry, 2019
The goal of this paper is to give a new, abstract approach to cover-decomposition and polychromatic colorings using hypergraphs on ordered vertex sets.
Balázs Keszegh, Dömötör Pálvölgyi
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 Min-Max Edge q-Coloring Problem

open access: yesJournal of Graph Algorithms and Applications, 2015
In this paper we introduce and study a new problem named min-max edge q-coloring which is motivated by applications in wireless mesh networks. The input of the problem consists of an undirected graph and an integer q.
Tommi Larjomaa, Alexandru Popa
doaj   +1 more source

ASPECTS OF TOPOLOGICAL APPROACHES FOR DATA SCIENCE. [PDF]

open access: yesFound Data Sci, 2022
Grbić J, Wu J, Xia K, Wei GW.
europepmc   +1 more source

What makes a reaction network "chemical"? [PDF]

open access: yesJ Cheminform, 2022
Müller S, Flamm C, Stadler PF.
europepmc   +1 more source

A study of cluster hypergraphs and its properties. [PDF]

open access: yesSoc Netw Anal Min, 2021
Maity A   +4 more
europepmc   +1 more source

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