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Strong Edge Colorings of Graphs
2015In the preceding chapters we have discussed unrestricted edge colorings that, in a variety of ways, induce vertex colorings that are either vertex-distinguishing or neighbor-distinguishing. In this chapter, we turn our attention from unrestricted edge colorings to proper edge colorings that induce set-defined vertex colorings which are either vertex ...
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A Note on Strong Edge Coloring of Sparse Graphs
Acta Mathematica Sinica, English Series, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dong, Wei, Li, Rui, Xu, Bao Gang
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On (s, t)-relaxed strong edge-coloring of graphs
Journal of Combinatorial Optimization, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Dan, Lin, Wensong
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Strong edge-coloring of $(3, ��)$-bipartite graphs
2014A strong edge-coloring of a graph $G$ is an assignment of colors to edges such that every color class induces a matching. We here focus on bipartite graphs whose one part is of maximum degree at most $3$ and the other part is of maximum degree $ $. For every such graph, we prove that a strong $4 $-edge-coloring can always be obtained. Together with a
Bensmail, Julien +2 more
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Adjacent strong edge colorings and total colorings of regular graphs
Science in China Series A: Mathematics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, ZhongFu +5 more
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Recent progress on strong edge-coloring of graphs
Discrete Mathematics, Algorithms and Applications, 2019A strong edge-coloring of a graph [Formula: see text] is a partition of its edge set [Formula: see text] into induced matchings. In this paper, we gave a short survey on recent results about strong edge-coloring of a graph.
Kecai Deng, Gexin Yu, Xiangqian Zhou
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Parity and strong parity edge-colorings of graphs
Journal of Combinatorial Optimization, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hsiang-Chun Hsu, Gerard Jennhwa Chang
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Strong Edge Coloring of Outerplane Graphs with Independent Crossings
Acta Mathematicae Applicatae Sinica, English SerieszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Ke-Jie, Zhang, Xin
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STRONG EDGE-COLORINGS OF POWERS OF PATHS AND CYCLES
Реберная раскраска φ графа G называется «сильной», если ребра, находящиеся на расстоянии не более 1, окрашены в различные цвета. Минимальное количество цветов, необходимое для сильной реберной раскраски графа G, называется «сильным хроматическим индексом» и обозначается через χs'(G). k-ая степень графа G имеет то же самое множество ребер, что и граф G,A. Drambyan , P. Petrosyan
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