Edge irregularity strength of certain families of comb graph

Abstract: Edge irregular mapping or vertex mapping h : V (U ) −→ {1, 2, 3, 4, ..., s} is a mapping of vertices in such a way that all edges have distinct weights. We evaluate weight of any edge by using equation wt h (cd) = h(c)+h(d), ∀c, d ∈ V (U ) and &...

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Autores principales: Zhang,Xiujun, Cancan,Murat, Nadeem,Muhammad Faisal, Imran,Muhammad
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400787
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spelling oai:scielo:S0716-091720200004007872020-08-13Edge irregularity strength of certain families of comb graphZhang,XiujunCancan,MuratNadeem,Muhammad FaisalImran,Muhammad Irregular assignment Irregularity strength Edge irregularity strength Comb graphs Abstract: Edge irregular mapping or vertex mapping h : V (U ) −→ {1, 2, 3, 4, ..., s} is a mapping of vertices in such a way that all edges have distinct weights. We evaluate weight of any edge by using equation wt h (cd) = h(c)+h(d), ∀c, d ∈ V (U ) and ∀cd ∈ E(U ). Edge irregularity strength denoted by es(U ) is a minimum positive integer use to label vertices to form edge irregular labeling. In this paper, we find exact value of edge irregularity strength of different families of comb graph.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.4 20202020-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400787en10.22199/issn.0717-6279-2020-04-0049
institution Scielo Chile
collection Scielo Chile
language English
topic Irregular assignment
Irregularity strength
Edge irregularity strength
Comb graphs
spellingShingle Irregular assignment
Irregularity strength
Edge irregularity strength
Comb graphs
Zhang,Xiujun
Cancan,Murat
Nadeem,Muhammad Faisal
Imran,Muhammad
Edge irregularity strength of certain families of comb graph
description Abstract: Edge irregular mapping or vertex mapping h : V (U ) −→ {1, 2, 3, 4, ..., s} is a mapping of vertices in such a way that all edges have distinct weights. We evaluate weight of any edge by using equation wt h (cd) = h(c)+h(d), ∀c, d ∈ V (U ) and ∀cd ∈ E(U ). Edge irregularity strength denoted by es(U ) is a minimum positive integer use to label vertices to form edge irregular labeling. In this paper, we find exact value of edge irregularity strength of different families of comb graph.
author Zhang,Xiujun
Cancan,Murat
Nadeem,Muhammad Faisal
Imran,Muhammad
author_facet Zhang,Xiujun
Cancan,Murat
Nadeem,Muhammad Faisal
Imran,Muhammad
author_sort Zhang,Xiujun
title Edge irregularity strength of certain families of comb graph
title_short Edge irregularity strength of certain families of comb graph
title_full Edge irregularity strength of certain families of comb graph
title_fullStr Edge irregularity strength of certain families of comb graph
title_full_unstemmed Edge irregularity strength of certain families of comb graph
title_sort edge irregularity strength of certain families of comb graph
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400787
work_keys_str_mv AT zhangxiujun edgeirregularitystrengthofcertainfamiliesofcombgraph
AT cancanmurat edgeirregularitystrengthofcertainfamiliesofcombgraph
AT nadeemmuhammadfaisal edgeirregularitystrengthofcertainfamiliesofcombgraph
AT imranmuhammad edgeirregularitystrengthofcertainfamiliesofcombgraph
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