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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$k$-PRIME TOTAL LABELING OF GRAPHS

Authors

  • S. Teresa Arockiamary
  • J. Baskar Babujee
  • G. Vijayalakshmi

Keywords:

$k$-prime total labeling, edge vertex prime labeling, path graph, generalized star graph.

DOI:

https://doi.org/10.17654/0974165822051

Abstract

In this paper, we introduce $k$-prime total labeling of graphs and illustrate the existence for some tree related graphs.

References

J. Baskar Babujee and R. Jagadesh, On edge vertex prime labeling, Int. J. Pure Appl. Math. 114(6) (2017), 209-218.

J. Baskar Babujee and J. Senbagamalar, Wiener index for special trees isomorphic to hydrocarbons, Acta Ciencia Indica 35(2) (2009), 575-578.

J. A. Gallian, A dynamic survey of graph labeling, Electron. J. Combin. DS6, 2021.

Y. Parmar, Edge vertex prime labeling for wheel, fan and friendship graph, Internat. J. Math. Stat. Invention (IJMSI) 5(8) (2017), 23-29.

Y. Parmar, Edge vertex prime labeling for and graphs, Math. J. Interdisciplinary Sci. 6(2) (2018), 167-180.

M. Simaringa and S. Muthukumaran, Edge vertex prime labeling of graphs, Malaya Journal of Matematik 7(3) (2019), 572-578.

S. Teresa Arockiamary and G. Vijayalakshmi, k-prime labeling of certain cycle connected graphs, Malaya Journal of Matematik S(1) (2019), 280-283.

S. Teresa Arockiamary and G. Vijayalakshmi, k-prime labeling of one point union of path graph, Procedia Computer Science 172 (2020), 649-654.

S. Teresa Arockiamary and G. Vijayalakshmi, Some results on k-prime labeling of graphs on graph operations, Advances and Applications in Mathematical Sciences 21(1) (2021), 283-298.

S. K. Vaidya and U. M. Prajapati, Some results on prime and k-prime labeling, Journal of Mathematics Research 3(1) (2011), 66-75.

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Published

2022-09-06

Issue

Vol. 35 (2022)

Section

Articles

License

Copyright (c) 2022 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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How to Cite

$k$-PRIME TOTAL LABELING OF GRAPHS. (2022). Advances and Applications in Discrete Mathematics, 35, 45-59. https://doi.org/10.17654/0974165822051

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