Results 41 to 50 of about 641,529 (298)
Normal 5-edge-colorings of a family of Loupekhine snarks
In a proper edge-coloring of a cubic graph an edge uv is called poor or rich, if the set of colors of the edges incident to u and v contains exactly three or five colors, respectively.
Luca Ferrarini +2 more
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M_{2}-edge colorings of dense graphs [PDF]
An edge coloring \(\varphi\) of a graph \(G\) is called an \(\mathrm{M}_i\)-edge coloring if \(|\varphi(v)|\leq i\) for every vertex \(v\) of \(G\), where \(\varphi(v)\) is the set of colors of edges incident with \(v\).
Jaroslav Ivančo
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On the Adjacent Strong Equitable Edge Coloring of Pn ∨ Pn, Pn ∨ Cn and Cn ∨ Cn
A proper edge coloring of graph G is called equitable adjacent strong edge coloring if colored sets from every two adjacent vertices incident edge are different,and the number of edges in any two color classes differ by at most one,which the required ...
Liu Jun +4 more
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A note on M_{2}-edge colorings of graphs [PDF]
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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Strong edge coloring sparse graphs [PDF]
International audienceA strong edge coloring of a graph is a proper edge coloring such that no edge has two incident edges of the same color. Erdős and Nešetřil conjectured in 1989 that $5 /4∆2$ colors are always enough for a strong edge coloring, where $
Hocquard, Hervé +2 more
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New Bipartite Graph Techniques for Irregular Data Redistribution Scheduling
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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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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Smarandachely Adjacent Vertex Distinguishing Edge Coloring Algorithm of Graphs [PDF]
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
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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Deterministic Online Bipartite Edge Coloring [PDF]
We study online bipartite edge coloring, with nodes on one side of the graph revealed sequentially. The trivial greedy algorithm is (2 — o (1))-competitive, which is optimal for graphs of low maximum degree, Δ = O (log n) [BNMN IPL’92].
Vintan, Radu +7 more
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