Results 41 to 50 of about 934,117 (293)
Distance-edge-coloring of power graphs
, 2010 International audienceThe \ell-distance-edge-coloring is a generalization of the edge-coloring that tries to assign a color from 1 to k to each edge such that any two edges of distance at most \ell have distinct colors.
Kheddouci, Hamamache +3 more
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On the Star Chromatic Index of Generalized Petersen Graphs
Discussiones 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
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A note on M_{2}-edge colorings of graphs [PDF]
Opuscula Mathematica, 2015 An edge coloring \(\varphi\) of a graph \(G\) is called an \(M_2\)-edge coloring if \(|\varphi(v)|\le2 \) for every vertex \(v\) of \(G\), where \(\varphi(v)\) is the set of colors of edges incident with \(v\). Let \(K_2(G)\) denote the maximum number of
Július Czap
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Acyclicity in edge-colored graphs
Discrete Mathematics, 2017 A walk $W$ in edge-colored graphs is called properly colored (PC) if every pair of consecutive edges in $W$ is of different color. We introduce and study five types of PC acyclicity in edge-colored graphs such that graphs of PC acyclicity of type $i$ is a proper superset of graphs of acyclicity of type $i+1$, $i=1,2,3,4.$ The first three types are ...
Gregory Z. Gutin +4 more
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New Bipartite Graph Techniques for Irregular Data Redistribution Scheduling
Algorithms, 2019 For many parallel and distributed systems, automatic data redistribution improves its locality and increases system performance for various computer problems and applications.
Qinghai Li, Chang Wu Yu
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Barekeng, 2023 Rainbow antimagic coloring is a combination of antimagic labeling and rainbow coloring. Antimagic labeling is labeling of each vertex of the graph with a different label, so that each the sum of the vertices in the graph has a different weight. Rainbow
R Adawiyah +4 more
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On Weighted Bipartite Edge Coloring [PDF]
, 2015 We study weighted bipartite edge coloring problem, which is a generalization of two classical problems: bin packing and edge coloring. This problem has been inspired from the study of Clos networks in multirate switching environment in communication ...
Singh, Mohit, Khan, Arindam
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Smarandachely Adjacent Vertex Distinguishing Edge Coloring Algorithm of Graphs [PDF]
Jisuanji gongcheng, 2017 To solve the problem of Smarandachely Adjacent Vertex Distinguishing Edge Coloring(SAVDEC) of graphs,this paper presents a coloring algorithm based on multi-objective optimization.For each sub problem,the sub objective function vector and decision space ...
CAO Daotong,LI Jingwen,WEN Fei
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On Rainbow Antimagic Coloring of Joint Product of Graphs
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Let be a connected graph with vertex set and edge set . A bijection from to the set is a labeling of graph . The bijection is called rainbow antimagic vertex labeling if for any two edge and in path , where and .
Brian Juned Septory +3 more
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Edge-Coloring Problems for Graphs [PDF]
, 2010 application/pdfThe edge-coloring problem is one of the fundamental problems on graphs, which often appears in various scheduling problems like the file transfer problem on computer networks.
Nishizeki, Takao, Nakano, Shin-ichi
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