Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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ON NEIGHBORHOOD $S_3$-MAGIC GRAPHS

Authors

  • C. Anusha
  • V. Anil Kumar

Keywords:

$A$-magic labeling, non-abelian group, symmetric group $S_3$, neighborhood $S_3$-magic, magic constant.

DOI:

https://doi.org/10.17654/0974165824009

Abstract

The concept of neighborhood $V_4$-magic labeling of graphs was introduced in [6], where $V_4$ denotes the Klein-4 group. In this paper, we introduced the notion of neighborhood $A$-magic labeling of graphs, where $A$ is a finite non-abelian group. Moreover, we investigated graphs that are neighborhood $S_3$-magic, where $S_3$ denotes the permutation group on three symbols.

Received: November 27, 2023
Accepted: February 6, 2024

References

B. Acharya, S. Rao, T. Singh and V. Parameswaran, Neighborhood magic graphs, National Conference on Graph Theory, Combinatorics and Algorithm, 2004.

D. Combe, A. M. Nelson and W. D. Palmer, Magic labellings of graphs over finite abelian groups, Australas. J. Combin. 29 (2004), 259-271.

D. Froncek, Group distance magic labeling of Cartesian products of cycles, Australas. J. Combin. 55 (2013), 167-174.

J. B. Fraleigh, A First Course in Abstract Algebra, Pearson Education India, 2003.

S. Cichacz, Note on group distance magic graphs Graphs Combin. 30(3) (2014), 565-571.

K. P. Vineesh and V. Anil Kumar, Neighbourhood -magic labeling of some cycle related graphs, Far East J. Math. Sci. (FJMS) 111(2) (2019), 263-272.

K. P. Vineesh and V. Anil Kumar, Neighbourhood -magic labeling of some subdivision graphs, Malaya Journal of Matematik 8(4) (2020), 1807-1811.

K. R. Parthasarathy, Basic Graph Theory, Tata McGraw-Hill Publishing Company Limited, 1994.

Published

2024-02-19

Issue

Section

Articles

How to Cite

ON NEIGHBORHOOD $S_3$-MAGIC GRAPHS. (2024). Advances and Applications in Discrete Mathematics, 41(2), 135-148. https://doi.org/10.17654/0974165824009

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