Coloring, List Coloring, and Painting Squares of Graphs (and other related problems)

DW Cranston - arXiv preprint arXiv:2210.05915, 2022 - arxiv.org
arXiv:2210.05915v2 [math.CO] 22 Apr 2023 Page 1 arXiv:2210.05915v2 [math.CO] 22 Apr
2023 Coloring, List Coloring, and Painting Squares of Graphs (and other related problems) …

Strong chromatic index of graphs with maximum degree four

M Huang, M Santana, G Yu - arXiv preprint arXiv:1806.07012, 2018 - arxiv.org
A strong edge-coloring of a graph $ G $ is a coloring of the edges such that every color class
induces a matching in $ G $. The strong chromatic index of a graph is the minimum number …

[HTML][HTML] Strong edge-coloring of planar graphs

D Hudák, B Lužar, R Soták, R Škrekovski - Discrete Mathematics, 2014 - Elsevier
A strong edge-coloring of a graph is a proper edge-coloring where the edges at distance at
most 2 receive distinct colors. It is known that every planar graph G has a strong edge …

Recent progress on strong edge-coloring of graphs

K Deng, G Yu, X Zhou - Discrete Mathematics, Algorithms and …, 2019 - World Scientific
Recent progress on strong edge-coloring of graphs Page 1 Discrete Mathematics, Algorithms
and Applications Vol. 11, No. 5 (2019) 1950062 (21 pages) c© World Scientific Publishing …

[HTML][HTML] Strong chromatic index of subcubic planar multigraphs

AV Kostochka, X Li, W Ruksasakchai… - European Journal of …, 2016 - Elsevier
The strong chromatic index of a multigraph is the minimum k such that the edge set can be k-
colored requiring that each color class induces a matching. We verify a conjecture of …

[HTML][HTML] On strong edge-colouring of subcubic graphs

H Hocquard, M Montassier, A Raspaud… - Discrete Applied …, 2013 - Elsevier
A strong edge-colouring of a graph G is a proper edge-colouring such that every path of
length 3 uses three different colours. In this paper we improve some previous results on the …

[HTML][HTML] On strong edge-coloring of graphs with maximum degree 4

JB Lv, X Li, G Yu - Discrete Applied Mathematics, 2018 - Elsevier
The strong chromatic index of a graph G, denoted by χ s′(G), is the least number of colors
needed to edge-color G properly so that every path of length 3 uses three different colors. In …

Strong edge-colorings of sparse graphs with 3Δ− 1 colors

X Li, Y Li, JB Lv, T Wang - Information Processing Letters, 2023 - Elsevier
A strong edge-coloring of a graph G is a proper edge-coloring such that every path of length
3 uses three different colors. The strong chromatic index of G, denoted by χ s′(G), is the …

On the strong chromatic index of sparse graphs

P DeOrsey, J Diemunsch, M Ferrara, N Graber… - arXiv preprint arXiv …, 2015 - arxiv.org
The strong chromatic index of a graph $ G $, denoted $\chi_s'(G) $, is the least number of
colors needed to edge-color $ G $ so that edges at distance at most two receive distinct …

[HTML][HTML] On strong list edge coloring of subcubic graphs

H Zhu, Z Miao - Discrete Mathematics, 2014 - Elsevier
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