Super antimagic total labeling under duplication operations
Abstract: For a graph G the duplication operation of a vertex v by a new edge e = uw results in a new graph G’ such that N (u) = {v, w} and N (w) = {v, u}. The duplication operation of an edge e = uv by a new vertex w results in a new graph G’’ such that N (w) = {u, v}....
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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oai:scielo:S0716-091720200004009952020-08-13Super antimagic total labeling under duplication operationsKhalaf,Abdul Jalil M.Naeem,MuhammadSiddiqui,Muhammad KamranBaig,Abdul Qudair Super edge-antimagic total graph Super vertex-antimagic total graph Duplication operations Prism Antiprism Crossed prism Cycle and complete graphs Abstract: For a graph G the duplication operation of a vertex v by a new edge e = uw results in a new graph G’ such that N (u) = {v, w} and N (w) = {v, u}. The duplication operation of an edge e = uv by a new vertex w results in a new graph G’’ such that N (w) = {u, v}. In this article we have discussed that the properties of a graph, with minimum degree 2 of any vertex, to be super vertex-antimagic total and to be super edge-antimagic total are invariant under the above duplication operations. Also, we have discussed on the existence of the so-called k super vertex-antimagic total vertex modifications and k super edge-antimagic total edge modifications for graphs.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=S0716-09172020000400995en10.22199/issn.0717-6279-2020-04-0062 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Super edge-antimagic total graph Super vertex-antimagic total graph Duplication operations Prism Antiprism Crossed prism Cycle and complete graphs |
| spellingShingle |
Super edge-antimagic total graph Super vertex-antimagic total graph Duplication operations Prism Antiprism Crossed prism Cycle and complete graphs Khalaf,Abdul Jalil M. Naeem,Muhammad Siddiqui,Muhammad Kamran Baig,Abdul Qudair Super antimagic total labeling under duplication operations |
| description |
Abstract: For a graph G the duplication operation of a vertex v by a new edge e = uw results in a new graph G’ such that N (u) = {v, w} and N (w) = {v, u}. The duplication operation of an edge e = uv by a new vertex w results in a new graph G’’ such that N (w) = {u, v}. In this article we have discussed that the properties of a graph, with minimum degree 2 of any vertex, to be super vertex-antimagic total and to be super edge-antimagic total are invariant under the above duplication operations. Also, we have discussed on the existence of the so-called k super vertex-antimagic total vertex modifications and k super edge-antimagic total edge modifications for graphs. |
| author |
Khalaf,Abdul Jalil M. Naeem,Muhammad Siddiqui,Muhammad Kamran Baig,Abdul Qudair |
| author_facet |
Khalaf,Abdul Jalil M. Naeem,Muhammad Siddiqui,Muhammad Kamran Baig,Abdul Qudair |
| author_sort |
Khalaf,Abdul Jalil M. |
| title |
Super antimagic total labeling under duplication operations |
| title_short |
Super antimagic total labeling under duplication operations |
| title_full |
Super antimagic total labeling under duplication operations |
| title_fullStr |
Super antimagic total labeling under duplication operations |
| title_full_unstemmed |
Super antimagic total labeling under duplication operations |
| title_sort |
super antimagic total labeling under duplication operations |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2020 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400995 |
| work_keys_str_mv |
AT khalafabduljalilm superantimagictotallabelingunderduplicationoperations AT naeemmuhammad superantimagictotallabelingunderduplicationoperations AT siddiquimuhammadkamran superantimagictotallabelingunderduplicationoperations AT baigabdulqudair superantimagictotallabelingunderduplicationoperations |
| _version_ |
1718439879524745216 |