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On the Adjacent Strong Equitable Edge Coloring of Pn ∨ Pn, Pn ∨ Cn and Cn ∨ Cn

open access: yesMATEC Web of Conferences, 2016
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
doaj   +1 more source

New Bipartite Graph Techniques for Irregular Data Redistribution Scheduling

open access: yesAlgorithms, 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
doaj   +1 more source

A note on M_{2}-edge colorings of graphs [PDF]

open access: yesOpuscula 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
doaj   +1 more source

ON RAINBOW ANTIMAGIC COLORING OF SNAIL GRAPH(S_n ), COCONUT ROOT GRAPH (Cr_(n,m) ), FAN STALK GRAPH (Kt_n ) AND THE LOTUS GRAPH(Lo_n )

open access: yesBarekeng, 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
doaj   +1 more source

Smarandachely Adjacent Vertex Distinguishing Edge Coloring Algorithm of Graphs [PDF]

open access: yesJisuanji 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
doaj   +1 more source

On Rainbow Antimagic Coloring of Joint Product of Graphs

open access: yesCauchy: 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
doaj   +1 more source

On Mf-Edge Colorings of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2022
An edge coloring φ of a graph G is called an Mf-edge coloring if | φ(v)| ≤ f(v) for every vertex v of G, where φ(v) is the set of colors of edges incident with v and f is a function which assigns a positive integer f(v) to each vertex v.
Ivančo Jaroslav, Onderko Alfréd
doaj   +1 more source

Decompositions of Plane Graphs Under Parity Constrains Given by Faces

open access: yesDiscussiones Mathematicae Graph Theory, 2013
An edge coloring of a plane graph G is facially proper if no two faceadjacent edges of G receive the same color. A facial (facially proper) parity edge coloring of a plane graph G is an (facially proper) edge coloring with the property that, for each ...
Czap Július, Tuza Zsolt
doaj   +1 more source

On b-vertex and b-edge critical graphs [PDF]

open access: yesOpuscula Mathematica, 2015
A \(b\)-coloring is a coloring of the vertices of a graph such that each color class contains a vertex that has a neighbor in all other color classes, and the \(b\)-chromatic number \(b(G)\) of a graph \(G\) is the largest integer \(k\) such that \(G ...
Noureddine Ikhlef Eschouf   +1 more
doaj   +1 more source

On The Local Edge Antimagic Coloring of Corona Product of Path and Cycle

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2019
Let  be a nontrivial and connected graph of vertex set  and edge set  . A bijection  is called a local edge antimagic labeling if for any two adjacent edges  and , where for . Thus, the local edge antimagic labeling induces a proper edge coloring of G if
Siti Aisyah   +4 more
doaj   +1 more source

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