On the (Consecutively) Super Edge-Magic Deficiency of Subdivision of Double Stars
Joint Authors
Krisnawati, Vira Hari
Ngurah, Anak Agung Gede
Hidayat, Noor
Alghofari, Abdul Rouf
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-09
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Let G be a finite, simple, and undirected graph with vertex set VG and edge set EG.
A super edge-magic labeling of G is a bijection f:VG∪EG⟶1,2,…,VG+EG such that fVG=1,2,…,VG and fu+fuv+fv is a constant for every edge uv∈EG.
The super edge-magic labeling f of G is called consecutively super edge-magic if G is a bipartite graph with partite sets A and B such that fA=1,2,…,A and fB=A+1,A+2,…,VG.
A graph that admits (consecutively) super edge-magic labeling is called a (consecutively) super edge-magic graph.
The super edge-magic deficiency of G, denoted by μsG, is either the minimum nonnegative integer n such that G∪nK1 is super edge-magic or +∞ if there exists no such n.
The consecutively super edge-magic deficiency of a graph G is defined by a similar way.
In this paper, we investigate the (consecutively) super edge-magic deficiency of subdivision of double stars.
We show that, some of them have zero (consecutively) super edge-magic deficiency.
American Psychological Association (APA)
Krisnawati, Vira Hari& Ngurah, Anak Agung Gede& Hidayat, Noor& Alghofari, Abdul Rouf. 2020. On the (Consecutively) Super Edge-Magic Deficiency of Subdivision of Double Stars. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1188041
Modern Language Association (MLA)
Krisnawati, Vira Hari…[et al.]. On the (Consecutively) Super Edge-Magic Deficiency of Subdivision of Double Stars. Journal of Mathematics No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1188041
American Medical Association (AMA)
Krisnawati, Vira Hari& Ngurah, Anak Agung Gede& Hidayat, Noor& Alghofari, Abdul Rouf. On the (Consecutively) Super Edge-Magic Deficiency of Subdivision of Double Stars. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1188041
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188041