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Graph Edge Coloring and Extensions of Edge Colorings

This dissertation explores two main questions which may be framed in terms of graph edge-coloring. First, an assignment of $k$ colors to the edges of the complete bipartite graph $K_{n,n}$ corresponds to an assignment of $k$ symbols to the cells of an $n\times n$ array.
openaire   +1 more source

The NP-Completeness of Edge-Coloring

SIAM Journal on Computing, 1981
We show that it is NP-complete to determine the chromatic index of an arbitrary graph. The problem remains NP-complete even for cubic graphs.
exaly   +3 more sources

Note on injective edge-coloring of graphs

Discrete Applied Mathematics, 2022
Gexin Yu, Song Yimin, Zhengke Miao
exaly  

Injective Edge Coloring for Graphs with Small Edge Weight

Graphs and Combinatorics, 2022
Huiqing Liu, Xiaolan Hu, Liu Huiqing
exaly  

List injective edge-coloring of subcubic graphs

Discrete Applied Mathematics, 2021
Jianxi Li, Nian Hong Zhou, Jian-Bo Lv
exaly  

Automatic Thresholding of Color Edges

Color and Imaging Conference, 2000
Stokman, H.M.G., Gevers, Th.
openaire   +2 more sources

Injective edge coloring of graphs with maximum degree 5

Discrete Applied Mathematics, 2023
Junlei Zhu
exaly  

The strong edge-coloring for graphs with small edge weight

Discrete Mathematics, 2020
Gexin Yu, Xiangqian Zhou, Lily Chen
exaly  

Adjacent strong edge coloring of graphs

Applied Mathematics Letters, 2002
Zhongfu Zhang, Linzhong Liu
exaly  

Star Edge Coloring of Some Classes of Graphs

Journal of Graph Theory, 2016
Riste Škrekovski   +2 more
exaly  

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