Results 31 to 40 of about 84,087 (307)

AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILY

open access: yesBarekeng, 2023
Let  is a simple and connected graph with    as vertex set and  as edge set. Vertex labeling on inclusive local irregularity vertex coloring is defined by mapping and the function of the inclusive local irregularity vertex coloring is with .
Robiatul Adawiyah   +2 more
doaj   +1 more source

Acyclic edge-coloring using entropy compression [PDF]

open access: yes, 2013
An edge-coloring of a graph G is acyclic if it is a proper edge-coloring of G and every cycle contains at least three colors. We prove that every graph with maximum degree Delta has an acyclic edge-coloring with at most 4 Delta - 4 colors, improving the ...
Aline Parreau   +14 more
core   +3 more sources

The Coloring of Graphs [PDF]

open access: yesProceedings of the National Academy of Sciences, 1931
In another paper, L,3 the author has given a proof of a formula for M(λ), the number of ways of coloring a graph in λ colors, due to Birkhoff. The numbers m ij , in terms of which M(λ) is expressed, are here studied in detail; a method of calculating them is given.
openaire   +3 more sources

Graphs with coloring redundant edges

open access: yesElectronic Journal of Graph Theory and Applications, 2016
A graph edge is $d$-coloring redundant if the removal of the edge doesnot change the set of $d$-colorings of the graph. Graphs that are toosparse or too dense do not have coloring redundant edges.
Bart Demoen, Phuong-Lan Nguyen
doaj   +1 more source

Normal 6-edge-colorings of some bridgeless cubic graphs

open access: yes, 2019
In an edge-coloring of a cubic graph, an edge is poor or rich, if the set of colors assigned to the edge and the four edges adjacent it, has exactly five or exactly three distinct colors, respectively.
Mazzuoccolo, Giuseppe, Mkrtchyan, Vahan
core   +1 more source

On the total and AVD-total coloring of graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
A total coloring of a graph G is an assignment of colors to the vertices and the edges such that (i) no two adjacent vertices receive same color, (ii) no two adjacent edges receive same color, and (iii) if an edge e is incident on a vertex v, then v and ...
B. S. Panda, Shaily Verma, Yash Keerti
doaj   +1 more source

Sudoku number of graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2023
We introduce a concept in graph coloring motivated by the popular Sudoku puzzle. Let [Formula: see text] be a graph of order n with chromatic number [Formula: see text] and let [Formula: see text] Let [Formula: see text] be a k-coloring of the induced ...
J. Maria Jeyaseeli   +3 more
doaj   +1 more source

IMPLEMENTASI ALGORITMA GREEDY UNTUK MELAKUKAN GRAPH COLORING: STUDI KASUS PETA PROPINSI JAWA TIMUR

open access: yesJurnal Informatika, 2010
This paper will describe us how to coloring a graph by using greedy algorithm with the case study province of Jawa Timur. From this research we will know that for graph coloring at Jawa Timur Province only use four difference colors.
Ardiansyah Ardiansyah   +5 more
doaj   +1 more source

Total coloring of 1-toroidal graphs of maximum degree at least 11 and no adjacent triangles

open access: yes, 2018
A {\em total coloring} of a graph $G$ is an assignment of colors to the vertices and the edges of $G$ such that every pair of adjacent/incident elements receive distinct colors.
AV Kostochka   +16 more
core   +1 more source

Animation Visualization for Vertex Coloring of Polyhedral Graphs [PDF]

open access: yesJournal of Systemics, Cybernetics and Informatics, 2013
Vertex coloring of a graph is the assignment of labels to the vertices of the graph so that adjacent vertices have different labels. In the case of polyhedral graphs, the chromatic number is 2, 3, or 4. Edge coloring problem and face coloring problem can
Hidetoshi Nonaka
doaj  

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