Results 21 to 30 of about 620,857 (255)

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

Total Minimal Dominating Signed Graph [PDF]

open access: yes, 2010
Cartwright and Harary considered graphs in which vertices represent persons and the edges represent symmetric dyadic relations amongst persons each of which designated as being positive or negative according to whether the nature of the relationship is ...
Reddy, Siva Kota, Vijay, S.
core   +1 more source

Coloring Groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science
We introduce coloring groups, which are permutation groups obtained from a proper edge coloring of a graph. These groups generalize the generalized toggle groups of Striker (which themselves generalize the toggle groups introduced by Cameron and Fon-der ...
Ben Adenbaum, Alexander Wilson
doaj   +1 more source

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

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

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

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

Strong parity vertex coloring of plane graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
A strong parity vertex coloring of a 2-connected plane graph is a coloring of the vertices such that every face is incident with zero or an odd number of vertices of each color.
Tomas Kaiser   +3 more
doaj   +1 more source

Evaluating the Effects of the Clique Selection in Exact Graph Coloring Algorithms

open access: yes, 2011
It is a common practice in exact enumerative algorithms for graph colouring to find a clique of maximum cardinality and to fix the colours of this subgraph before proceeding with implicit enumeration on the remainder of the graph.
International Journal O. F. Operational Research   +4 more
core   +1 more source

Ideal Graph of a Graph [PDF]

open access: yes, 2011
In this paper, we introduce ideal graph of a graph and study some of its properties. We characterize connectedness, isomorphism of graphs and coloring property of a graph using ideal graph.
Manoharan, R., Vasuki, R.
core   +1 more source

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