Results 41 to 50 of about 2,535,598 (350)

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

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 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

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

A Bucket Graph-Based Labeling Algorithm with Application to Vehicle Routing

open access: yesTransportation Science, 2020
We consider the shortest path problem with resource constraints arising as a subproblem in state-of-the-art branch-cut-and-price algorithms for vehicle routing problems.
R. Sadykov, Eduardo Uchoa, A. Pessoa
semanticscholar   +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 the Implicit Graph Conjecture [PDF]

open access: yes, 2016
The implicit graph conjecture states that every sufficiently small, hereditary graph class has a labeling scheme with a polynomial-time computable label decoder.
Chandoo, Maurice
core   +3 more sources

On the reflexive edge strength of the circulant graphs

open access: yesAIMS Mathematics, 2021
A labeling of a graph is an assignment that carries some sets of graph elements into numbers (usually the non negative integers). The total k-labeling is an assignment fe from the edge set to the set {1,2,...,ke} and assignment fv from the vertex set to ...
Mohamed Basher
doaj   +1 more source

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

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