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Strong Chromatic Index of Chordless Graphs [PDF]
AbstractA strong edge coloring of a graph is an assignment of colors to the edges of the graph such that for every color, the set of edges that are given that color form an induced matching in the graph. The strong chromatic index of a graph G, denoted by , is the minimum number of colors needed in any strong edge coloring of G.
Manu Basavaraju, Mathew C. Francis
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ON STRONG CHROMATIC INDEX OF SOME OPERATIONS ON GRAPHS [PDF]
A strong edge-coloring of a graph $G$ is a mapping $\phi : E(G) \rightarrow \mathbb{N}$ such that the edges at distance $0$ or $1$ receive distinct colors. The minimum number of colors required for such a coloring is called the strong chromatic index of $G$ and is denoted by $\chi_s'(G)$.
A. Drambyan
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From 3DGS scenes to plant traits: a scalable extraction and segmentation framework for muskmelon phenotyping [PDF]
Automated quantification of plant-level development from multi-plant greenhouse scenes requires separating individual plants from shared scene-level reconstructions and quantifying organ-level development, a challenge that single-plant acquisition ...
Jing-Heng Lin, Ta-Te Lin
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Strong chromatic index of claw-free graphs with edge weight seven [PDF]
Yuquan Lin, Wensong Lin
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The strong chromatic index of graphs and subdivisions
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Kittikorn Nakprasit
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On the strong chromatic index of cubic Halin graphs
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Ko-Wei Lih, Daphne Der-Fen Liu
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The strong chromatic index of $(3,Δ)$-bipartite graphs
A strong edge-coloring of a graph $G=(V,E)$ is a partition of its edge set $E$ into induced matchings. We study bipartite graphs with one part having maximum degree at most $3$ and the other part having maximum degree $Δ$. We show that every such graph has a strong edge-coloring using at most $3 Δ$ colors.
Mingfang Huang, Gexin Yu, Xiangqian Zhou
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The strong chromatic index of Halin graphs
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Hsin-Hao Lai +2 more
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The strong chromatic index of complete cubic Halin graphs
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Wai Chee Shiu, Wing Ka Tam
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The strong chromatic index of
A strong edge-coloring of a graph $G=(V,E)$ is a partition of its edge set $E$ into induced matchings. We study bipartite graphs with one part having maximum degree at most $3$ and the other part having maximum degree $\Delta$. We show that every such graph has a strong edge-coloring using at most $3 \Delta$ colors.
Mingfang Huang, Gexin Yu, Xiangqian Zhou
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