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Overview on fuzzy fractional coloring

open access: yesInternational Journal of Cognitive Computing in Engineering, 2021
In data science, there are still a variety of uncertainty attributes of objects which can’t be accurately represented numerically, under which case, fuzzy mathematics provides technologies and theoretical guarantee for the representations of their ...
Wei Gao, Weifan Wang
doaj   +4 more sources

Distributed Algorithms for Fractional Coloring [PDF]

open access: yesLecture Notes in Computer Science, 2021
16 pages, 2 figures.
Louis Espéret   +2 more
exaly   +3 more sources

Fractional Q-Edge-Coloring of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2013
An additive hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphism. Let be an additive hereditary property of graphs.
Czap Július, Mihók Peter
doaj   +3 more sources

On fractional version of oriented coloring

open access: yesDiscrete Applied Mathematics, 2022
15 ...
Sandip Das, Sagnik Sen
exaly   +3 more sources

Generalized Fractional Total Colorings of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2015
Let P and Q be additive and hereditary graph properties and let r, s be integers such that r ≥ s. Then an r/s -fractional (P,Q)-total coloring of a finite graph G = (V,E) is a mapping f, which assigns an s-element subset of the set {1, 2, . . .
Karafová Gabriela, Soták Roman
doaj   +3 more sources

Generalized Fractional Total Colorings of Complete Graph

open access: yesDiscussiones Mathematicae Graph Theory, 2013
An additive and hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphism. Let P and Q be two additive and hereditary graph properties and let r, s be integers such that r ≥ s Then an fractional (P,
Karafová Gabriela
doaj   +2 more sources

Generalized Fractional and Circular Total Colorings of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2015
Let P and Q be additive and hereditary graph properties, r, s ∈ N, r ≥ s, and [ℤr]s be the set of all s-element subsets of ℤr. An (r, s)-fractional (P,Q)-total coloring of G is an assignment h : V (G) ∪ E(G) → [ℤr]s such that for each i ∈ ℤr the ...
Kemnitz Arnfried   +4 more
doaj   +3 more sources

Cubical coloring — fractional covering by cuts and semidefinite programming [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
We introduce a new graph parameter that measures fractional covering of a graph by cuts. Besides being interesting in its own right, it is useful for study of homomorphisms and tension-continuous mappings.
Robert Šámal
doaj   +5 more sources

Fractional Coloring of Planar Graphs of Girth Five [PDF]

open access: yesSIAM Journal on Discrete Mathematics, 2020
19 pages, 3 ...
Xiaolan Hu, Zdenek Dvorak
exaly   +4 more sources

Fractional and j-Fold Coloring of the Plane [PDF]

open access: yesDiscrete and Computational Geometry, 2016
We present results referring to the Hadwiger-Nelson problem which asks for the minimum number of colours needed to colour the plane with no two points at distance $1$ having the same colour. Exoo considered a more general problem concerning graphs $G_{[a,b]}$ with $\mathbb{R}^2$ as the vertex set and two vertices adjacent if their distance is in the ...
Jarosław Grytczuk   +2 more
exaly   +4 more sources

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