Results 21 to 30 of about 100,347 (247)

-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

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$.
Benjamini, Itai   +3 more
openaire   +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

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

Enumeration Of Labelled Graphs [PDF]

open access: yesCanadian Journal of Mathematics, 1956
1. Introduction. The number of connected linear graphs having V vertices labelled 1, … , V and λ (unlabelled) lines is found below. Similar formulas are found for graphs in which slings, lines “in parallel,” or both are allowed and for directed graphs with or without slings or parallel lines.
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

Parallelism Detection Using Graph Labelling

open access: yesLobachevskii Journal of Mathematics, 2022
Usage of multiprocessor and multicore computers implies parallel programming. Tools for preparing parallel programs include parallel languages and libraries as well as parallelizing compilers and convertors that can perform automatic parallelization. The basic approach for parallelism detection is analysis of data dependencies and properties of program
Telegin, P. N.   +3 more
openaire   +2 more sources

On H-irregular reflexive labeling of graph

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
By an irregular reflexive  labeling, we mean a function  and  such that  if  and  if , where  max . Let , the irregular reflexive  labeling is called an -irregular reflexive -labeling of graph  if every two different sub graphs  and  isomorphic to , it ...
Marsidi Marsidi   +4 more
doaj   +1 more source

Evacuation of labelled graphs

open access: yesDiscrete Mathematics, 1994
In this note, Schützenberger's notion of evacuation of Young tableaux [\textit{M. P. Schützenberger}, Math. Scand. 12, 117-128 (1963; Zbl 0216.302)] and of naturally labelled posets [\textit{M. P. Schützenberger}, Discrete Math. 2, 73-94 (1972; Zbl 0279.06001)] are extended to labelled graphs.
MALVENUTO, Claudia, REUTENAUER C.
openaire   +2 more sources

The Odd Harmonious Labeling of Layered Graphs

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2023
Graphs that have the properties of odd harmonious labeling are odd harmonious graphs. The research objective of this paper is to obtain odd harmonious labeling on layered graph C(x,y) and layered graph D(x,y).
Fery Firmansah
doaj   +1 more source

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