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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Universidad Católica del Norte, Departamento de Matemáticas
2020
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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 |
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Scielo Chile |
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English |
topic |
Irregular assignment Irregularity strength Edge irregularity strength Comb graphs |
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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 |
_version_ |
1718439876299325440 |