Results 31 to 40 of about 280,140 (285)

-labeling of supersubdivided connected graph plus an edge

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
Rosa, in his classical paper (Rosa, 1967) introduced a hierarchical series of labelings called and labeling as a tool to settle Ringel’s Conjecture which states that if is any tree with edges then the complete graph can be decomposed into copies of ...
G. Sethuraman, M. Sujasree
doaj   +1 more source

Note on group distance magic graphs $G[C_4]$ [PDF]

open access: yes, 2012
A \emph{group distance magic labeling} or a $\gr$-distance magic labeling of a graph $G(V,E)$ with $|V | = n$ is an injection $f$ from $V$ to an Abelian group $\gr$ of order $n$ such that the weight $w(x)=\sum_{y\in N_G(x)}f(y)$ of every vertex $x \in V$
D. Froncek   +3 more
core   +2 more sources

On the edge irregularity strength of grid graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
For a simple graph G, a vertex labeling is called a vertex -labeling. For any edge in , its weight . If all the edge weights are distinct, then is called an edge irregular -labeling of .
I. Tarawneh, R. Hasni, A. Ahmad
doaj   +1 more source

Neutrosophic Labeling Graph [PDF]

open access: yesNeutrosophic Sets and Systems, 2019
In this paper, some new connectivity concepts in neutrosophic labeling graphs are portrayed. Definition of neutrosophic strong arc, neutrosophic partial cut node, Neutrosophic Bridge and block are introduced with examples.
M. Gomathi, V. Keerthika
doaj   +1 more source

Regular graphs of odd degree are antimagic [PDF]

open access: yes, 2013
An antimagic labeling of a graph $G$ with $m$ edges is a bijection from $E(G)$ to $\{1,2,\ldots,m\}$ such that for all vertices $u$ and $v$, the sum of labels on edges incident to $u$ differs from that for edges incident to $v$.
Cranston, Daniel W.
core   +1 more source

On labeling in graph visualization [PDF]

open access: yesInformation Sciences, 2007
When visualizing graphs, it is essential to communicate the meaning of each graph object via text or graphical labels. Automatic placement of labels in a graph is an NP-Hard problem, for which efficient heuristic solutions have been recently developed.
Ugur Dogrusöz   +3 more
openaire   +3 more sources

On the study of Rainbow Antimagic Coloring of Special Graphs

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
Let  be a connected graph with vertex set  and edge set . The bijective function  is said to be a labeling of graph where  is the associated weight for edge .
Dafik Dafik   +3 more
doaj   +1 more source

A Note on 1-Edge Balance Index Set [PDF]

open access: yes, 2012
A graph labeling is an assignment of integers to the vertices or edges or both, subject to certain conditions. Varieties of graph labeling have been investigated by many authors [2], [3] [5] and they serve as useful models for broad range of ...
Chandrashekar Adiga,   +2 more
core   +1 more source

Harmonic labeling of graphs

open access: yesDiscrete Mathematics, 2013
Which graphs admit an integer value harmonic function which is injective and surjective onto $\Z$? Such a function, which we call harmonic labeling, is constructed when the graph is the $\Z^2$ square grid. It is shown that for any finite graph $G$ containing at least one edge, there is no harmonic labeling of $ G \times \Z$.
Itai Benjamini   +3 more
openaire   +2 more sources

On Prime Index of a Graph

open access: yesRatio Mathematica, 2023
In prime labeling, vertices are labeled from 1 to n, with the condition that any two adjacent vertices have relatively prime labels. Coprime labeling maintains the same criterion as prime labeling with adjacent vertices using any set of distinct positive
Janani R, Ramachandran T
doaj   +1 more source

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