On 3-total edge product cordial labeling of a carbon nanotube network
For a simple graph G=(V,E)with the vertex set Vand the edge set Eand for an integer k, 2≤k≤|E(G)|, an edge labeling φ:E(G)→{0,1,…,k−1}induces a vertex labeling φ∗:V(G)→{0,1,…,k−1}defined by φ∗(v)=φ(e1)⋅φ(e2)⋅…⋅φ(en)(modk), where e1,e2,…,enare the edges incident to the vertex v. The function φ is cal...
Published in: | AKCE International Journal of Graphs and Combinatorics |
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Taylor & Francis Group
2019
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ftdoajarticles:oai:doaj.org/article:8142845f334c411cab8110ecab9033d7 2023-05-15T16:06:09+02:00 On 3-total edge product cordial labeling of a carbon nanotube network Martin Bača Muhammad Irfan Andrea Semaničová-Feňovčíková 2019-12-01T00:00:00Z https://doi.org/10.1016/j.akcej.2018.09.001 https://doaj.org/article/8142845f334c411cab8110ecab9033d7 EN eng Taylor & Francis Group http://www.sciencedirect.com/science/article/pii/S0972860017301287 https://doaj.org/toc/0972-8600 0972-8600 doi:10.1016/j.akcej.2018.09.001 https://doaj.org/article/8142845f334c411cab8110ecab9033d7 AKCE International Journal of Graphs and Combinatorics, Vol 16, Iss 3, Pp 310-318 (2019) Mathematics QA1-939 article 2019 ftdoajarticles https://doi.org/10.1016/j.akcej.2018.09.001 2022-12-31T03:32:16Z For a simple graph G=(V,E)with the vertex set Vand the edge set Eand for an integer k, 2≤k≤|E(G)|, an edge labeling φ:E(G)→{0,1,…,k−1}induces a vertex labeling φ∗:V(G)→{0,1,…,k−1}defined by φ∗(v)=φ(e1)⋅φ(e2)⋅…⋅φ(en)(modk), where e1,e2,…,enare the edges incident to the vertex v. The function φ is called a k-total edge product cordial labeling of G if |(eφ(i)+vφ∗(i))−(eφ(j)+vφ∗(j))|≤1 for every i,j, 0≤i<j≤k−1, where eφ(i)and vφ∗(i)are the number of edges and vertices with φ(e)=i and φ∗(v)=i, respectively.In this paper, we investigate the 3-total edge product cordial labeling of a carbon nanotube network. Keywords: Cordial labeling, k-total edge product cordial labeling, Carbon nanotube network Article in Journal/Newspaper Enare Directory of Open Access Journals: DOAJ Articles AKCE International Journal of Graphs and Combinatorics 16 3 310 318 |
institution |
Open Polar |
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Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Mathematics QA1-939 |
spellingShingle |
Mathematics QA1-939 Martin Bača Muhammad Irfan Andrea Semaničová-Feňovčíková On 3-total edge product cordial labeling of a carbon nanotube network |
topic_facet |
Mathematics QA1-939 |
description |
For a simple graph G=(V,E)with the vertex set Vand the edge set Eand for an integer k, 2≤k≤|E(G)|, an edge labeling φ:E(G)→{0,1,…,k−1}induces a vertex labeling φ∗:V(G)→{0,1,…,k−1}defined by φ∗(v)=φ(e1)⋅φ(e2)⋅…⋅φ(en)(modk), where e1,e2,…,enare the edges incident to the vertex v. The function φ is called a k-total edge product cordial labeling of G if |(eφ(i)+vφ∗(i))−(eφ(j)+vφ∗(j))|≤1 for every i,j, 0≤i<j≤k−1, where eφ(i)and vφ∗(i)are the number of edges and vertices with φ(e)=i and φ∗(v)=i, respectively.In this paper, we investigate the 3-total edge product cordial labeling of a carbon nanotube network. Keywords: Cordial labeling, k-total edge product cordial labeling, Carbon nanotube network |
format |
Article in Journal/Newspaper |
author |
Martin Bača Muhammad Irfan Andrea Semaničová-Feňovčíková |
author_facet |
Martin Bača Muhammad Irfan Andrea Semaničová-Feňovčíková |
author_sort |
Martin Bača |
title |
On 3-total edge product cordial labeling of a carbon nanotube network |
title_short |
On 3-total edge product cordial labeling of a carbon nanotube network |
title_full |
On 3-total edge product cordial labeling of a carbon nanotube network |
title_fullStr |
On 3-total edge product cordial labeling of a carbon nanotube network |
title_full_unstemmed |
On 3-total edge product cordial labeling of a carbon nanotube network |
title_sort |
on 3-total edge product cordial labeling of a carbon nanotube network |
publisher |
Taylor & Francis Group |
publishDate |
2019 |
url |
https://doi.org/10.1016/j.akcej.2018.09.001 https://doaj.org/article/8142845f334c411cab8110ecab9033d7 |
genre |
Enare |
genre_facet |
Enare |
op_source |
AKCE International Journal of Graphs and Combinatorics, Vol 16, Iss 3, Pp 310-318 (2019) |
op_relation |
http://www.sciencedirect.com/science/article/pii/S0972860017301287 https://doaj.org/toc/0972-8600 0972-8600 doi:10.1016/j.akcej.2018.09.001 https://doaj.org/article/8142845f334c411cab8110ecab9033d7 |
op_doi |
https://doi.org/10.1016/j.akcej.2018.09.001 |
container_title |
AKCE International Journal of Graphs and Combinatorics |
container_volume |
16 |
container_issue |
3 |
container_start_page |
310 |
op_container_end_page |
318 |
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1766402068734541824 |