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On the Construction of the Reflexive Vertex k-Labeling of Any Graph with Pendant Vertex
Joint Authors
Agustin, Ika Hesti
Dafik, F.
Utoyo, M. I.
Venkatachalam, M.
Surahmat, M.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A total k-labeling is a function fe from the edge set to first natural number ke and a function fv from the vertex set to non negative even number up to 2kv, where k=maxke,2kv.
A vertex irregular reflexivek-labeling of a simple, undirected, and finite graph G is total k-labeling, if for every two different vertices x and x′ of G, wtx≠wtx′, where wtx=fvx+Σxy∈EGfexy.
The minimum k for graph G which has a vertex irregular reflexive k-labeling is called the reflexive vertex strength of the graph G, denoted by rvsG.
In this paper, we determined the exact value of the reflexive vertex strength of any graph with pendant vertex which is useful to analyse the reflexive vertex strength on sunlet graph, helm graph, subdivided star graph, and broom graph.
American Psychological Association (APA)
Agustin, Ika Hesti& Utoyo, M. I.& Dafik, F.& Venkatachalam, M.& Surahmat, M.. 2020. On the Construction of the Reflexive Vertex k-Labeling of Any Graph with Pendant Vertex. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1172691
Modern Language Association (MLA)
Agustin, Ika Hesti…[et al.]. On the Construction of the Reflexive Vertex k-Labeling of Any Graph with Pendant Vertex. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1172691
American Medical Association (AMA)
Agustin, Ika Hesti& Utoyo, M. I.& Dafik, F.& Venkatachalam, M.& Surahmat, M.. On the Construction of the Reflexive Vertex k-Labeling of Any Graph with Pendant Vertex. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1172691
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1172691