Antimagic labeling of Triangular book graph and double fan graph
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Antimagic labeling of Triangular book graph and double fan graph
Jeba Jesintha1, N. K. Vinodhini2 and S. Divya Lakshmi3
BPAS-E-Math and Stat. Vol.42E(1) June 2023
DOI: 10.48165/bpas.2023.42E.1.3
Page: 27-30
Description
Description
Antimagic labeling of Triangular book graph and double fan graph
- Jeba Jesintha1, N. K. Vinodhini2 and S. Divya Lakshmi3
1,3. P.G. Department of Mathematics, Women’s Christian College, University of Madras, Chennai, India.
- Department of Mathematics, Anna Adarsh College for Women, University of Madras, Chennai, India.
- E-mail: jjesintha_75@yahoo.com , 2. E-mail: vinookaran@yahoo.co.in
- E-mail: sdivyalakshmi6633@gmail.com
Communicated, edited and typeset in Latex by Lalit Mohan Upadhyaya (Editor-in-Chief).
Received September 14, 2022 / Revised March 31, 2023 / Accepted April 12, 2023. Online First Published
on June 30, 2023 at https://www.bpasjournals.com/.
Corresponding author J. Jeba Jesintha, E-mail: jjesintha_75@yahoo.com
Abstract
In 1990, Hartsfield and Ringel (N. Hartsfield and G. Ringel, Pearls in Graph Theory, Academic Press, San Diego, 1990) introduced the concept of antimagic labeling. Antimagic labeling of a graph \textit{G }is a one-one correspondence between \textit{G }and ${1,2,\ldots,\left|E\ right|\}$ such that the sums of labels assigned to the edges incident to distinct vertices are different. In this paper we prove that triangular book graph and double fan graph admit antimagic labeling.
Key words Antimagic labeling, Triangular book graph, Double fan graph.
2020 Mathematics Subject Classification 05C78.
