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Dynamic Algorithms for Graph Coloring [PDF]

open access: yes, 2017
We design fast dynamic algorithms for proper vertex and edge colorings in a graph undergoing edge insertions and deletions. In the static setting, there are simple linear time algorithms for $(\Delta+1)$- vertex coloring and $(2\Delta-1)$-edge coloring ...
Bhattacharya, Sayan   +3 more
core   +2 more sources

Color Invariant Edge Detection [PDF]

open access: yes, 1999
Segmentation based on color, instead of intensity only, pro- vides an easier distinction between materials, on the condition that ro- bustness against irrelevant parameters is achieved, such as illumination source, shadows, geometry and camera sensitivities.
Geusebroek, J.-M.   +5 more
openaire   +2 more sources

Nonrepetitive edge-colorings of trees [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
A repetition is a sequence of symbols in which the first half is the same as the second half. An edge-coloring of a graph is repetition-free or nonrepetitive if there is no path with a color pattern that is a repetition.
A. Kündgen, T. Talbot
doaj   +1 more source

A structural approach to the graceful coloring of a subclass of trees

open access: yesHeliyon, 2023
Let M={1,2,..m} and G be a simple graph. A graceful m-coloring of G is a proper vertex coloring of G using the colors in M which leads to a proper edge coloring using M∖{m} colors such that the associated color of each edge is the absolute difference ...
Laavanya D, Devi Yamini S
doaj   +1 more source

Facial graceful coloring of plane graphs [PDF]

open access: yesOpuscula Mathematica
Let \(G\) be a plane graph. Two edges of \(G\) are facially adjacent if they are consecutive on the boundary walk of a face of \(G\). A facial edge coloring of \(G\) is an edge coloring such that any two facially adjacent edges receive different colors ...
Július Czap
doaj   +1 more source

Improved Bounds for Some Facially Constrained Colorings

open access: yesDiscussiones Mathematicae Graph Theory, 2023
A facial-parity edge-coloring of a 2-edge-connected plane graph is a facially-proper edge-coloring in which every face is incident with zero or an odd number of edges of each color. A facial-parity vertex-coloring of a 2-connected plane graph is a proper
Štorgel Kenny
doaj   +1 more source

Grünbaum colorings extended to non-facial 3-cycles

open access: yesElectronic Journal of Graph Theory and Applications, 2022
We consider the question of when a triangulation with a Grünbaum coloring can be edge-colored with three colors such that the non-facial 3-cycles also receive all three colors; we will call this a strong Grünbaum coloring.
sarah-marie belcastro, Ruth Haas
doaj   +1 more source

Local Conflict Coloring [PDF]

open access: yes, 2016
Locally finding a solution to symmetry-breaking tasks such as vertex-coloring, edge-coloring, maximal matching, maximal independent set, etc., is a long-standing challenge in distributed network computing. More recently, it has also become a challenge in
Fraigniaud, Pierre   +2 more
core   +4 more sources

Approximate constrained bipartite edge coloring [PDF]

open access: yesDiscrete Applied Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Caragiannis, Ioannis   +5 more
openaire   +4 more sources

On the Star Chromatic Index of Generalized Petersen Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2021
The star k-edge-coloring of graph G is a proper edge coloring using k colors such that no path or cycle of length four is bichromatic. The minimum number k for which G admits a star k-edge-coloring is called the star chromatic index of G, denoted by χ′s (
Zhu Enqiang, Shao Zehui
doaj   +1 more source

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