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On the edge irregularity strength of grid graphs
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
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Regular graphs of odd degree are antimagic [PDF]
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.
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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
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Enumeration Of Labelled Graphs [PDF]
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.
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A Bucket Graph-Based Labeling Algorithm with Application to Vehicle Routing
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
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Parallelism Detection Using Graph Labelling
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
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On the Implicit Graph Conjecture [PDF]
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
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On the reflexive edge strength of the circulant graphs
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
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On H-irregular reflexive labeling of graph
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
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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.
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