Results 11 to 20 of about 12,413 (296)
Let be a graph. A local edge coloring of G is a proper edge coloring such that for each subset S of E(G) with there exist edges such that where ns is the number of copies of P3 in the edge induced subgraph The maximum color assigned by a local edge ...
P. Deepa +2 more
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From Edge-Coloring to Strong Edge-Coloring [PDF]
In this paper we study a generalization of both proper edge-coloring and strong edge-coloring: $k$-intersection edge-coloring, introduced by Muthu, Narayanan and Subramanian. In this coloring, the set $S(v)$ of colors used by edges incident to a vertex $v$ does not intersect $S(u)$ on more than $k$ colors when $u$ and $v$ are adjacent.
Borozan, Valentin +6 more
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Edge Coloring Of Complement Bipolar Fuzzy Graphs
: Graph coloring is one of the most important problems of combinatorial optimization. Many problems of practical interest can be modeled as coloring problems.
S. Yahya Mohamed, Subashini N
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Martin Kochol +2 more
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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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Fractional Q-Edge-Coloring of Graphs
An additive hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphism. Let be an additive hereditary property of graphs.
Czap Július, Mihók Peter
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Neighbor Distinguishing Colorings of Graphs with the Restriction for Maximum Average Degree
Neighbor distinguishing colorings of graphs represent powerful tools for solving the channel assignment problem in wireless communication networks. They consist of two forms of coloring: neighbor distinguishing edge coloring, and neighbor distinguishing ...
Jingjing Huo +3 more
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Parallel Algorithms for the Edge-Coloring and Edge-Coloring Update Problems [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weifa Liang +2 more
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On Colorful Edge Triples in Edge-Colored Complete Graphs [PDF]
AbstractAn edge-coloring of the complete graph $$K_n$$ K n we call F-caring if it leaves no F-subgraph of $$K_n$$ K n monochromatic and at the same time every subset of |V(F)| vertices contains in it at least one completely multicolored version of F. For the first two meaningful cases, when $$F=K_{1,3}$$ F = K 1 , 3 and $$F=P_4$$ F = P 4
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Restrained star edge coloring of graphs and its application in optimal & safe storage practices
In this paper we introduce the concept of restrained star edge coloring of graphs by restraining the conditions of the star coloring of graphs. The restrained star edge coloring of graphs is a path based graph coloring which is said to be proper if all ...
W. Evangeline Lydia +1 more
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