Research Article
BibTex RIS Cite

Year 2025, Volume: 15 Issue: 9, 2398 - 2405, 01.09.2025

Abstract

References

  • Reference1 Bloom, G. S. and Golomb, S. W., (1977), Applications of numbered undirected graphs, Proc. IEEE, 65, pp. 562-570.
  • Reference2 Bondy, J. A. and Murty, U. S. R., (1982), Graph Theory with Applications, Macmillon, London.
  • Reference3 Gallian, J. A., (2023), A dynamic survey of graph labeling, The Electronic Journal of Combinatorics, 18, DS6.
  • Reference4 Rosa, A., (1967), On certain valuations of the vertices of a graph, Theory of Graphs (Internat. Symposium, Rome, July 1966), Gordon and Breach, N. Y. and Dunod Paris, pp. 349-355.
  • Reference5 Teresa Arockiamary, S. and Vijayalakshmi, G., (2023), Vertex k-Prime Labeling of Cyclic Snakes, Communications in Mathematics and Applications, 14 (1), pp. 9-20.
  • Reference6 Teresa Arockiamary, S. and Vijayalakshmi, G., (2023), Vertex k-prime labeling on graphs, European Chemical Bulletin, 12 (Special Issue 4), pp. 9627-9633.
  • Reference7 Teresa Arockiamary, S. and Vijayalakshmi, G., (2023), Vertex k-Prime Labeling of Theta Graphs, Indian Journal of Science and Technology, 16 (26), pp. 2008-2015.
  • Reference8 Tout, A., Dabboucy, A. N. and Howalla, K., (1982), Prime labeling of graphs, Nat. Acad. Sci. Letters, 11, pp. 365-368.

A COMPARATIVE STUDY ON PRIME AND VERTEX k-PRIME LABELING OF ONE POINT UNION OF PATH GRAPHS

Year 2025, Volume: 15 Issue: 9, 2398 - 2405, 01.09.2025

Abstract

In our study, we investigate the structure of one point union of path graphs and prove that they admit a vertex k-prime labeling. Further a study on comparison between prime and vertex k-prime labeling for one point union of path graph has been analysed and applied in the field of computer science with the help of C++ programming language.

References

  • Reference1 Bloom, G. S. and Golomb, S. W., (1977), Applications of numbered undirected graphs, Proc. IEEE, 65, pp. 562-570.
  • Reference2 Bondy, J. A. and Murty, U. S. R., (1982), Graph Theory with Applications, Macmillon, London.
  • Reference3 Gallian, J. A., (2023), A dynamic survey of graph labeling, The Electronic Journal of Combinatorics, 18, DS6.
  • Reference4 Rosa, A., (1967), On certain valuations of the vertices of a graph, Theory of Graphs (Internat. Symposium, Rome, July 1966), Gordon and Breach, N. Y. and Dunod Paris, pp. 349-355.
  • Reference5 Teresa Arockiamary, S. and Vijayalakshmi, G., (2023), Vertex k-Prime Labeling of Cyclic Snakes, Communications in Mathematics and Applications, 14 (1), pp. 9-20.
  • Reference6 Teresa Arockiamary, S. and Vijayalakshmi, G., (2023), Vertex k-prime labeling on graphs, European Chemical Bulletin, 12 (Special Issue 4), pp. 9627-9633.
  • Reference7 Teresa Arockiamary, S. and Vijayalakshmi, G., (2023), Vertex k-Prime Labeling of Theta Graphs, Indian Journal of Science and Technology, 16 (26), pp. 2008-2015.
  • Reference8 Tout, A., Dabboucy, A. N. and Howalla, K., (1982), Prime labeling of graphs, Nat. Acad. Sci. Letters, 11, pp. 365-368.
There are 8 citations in total.

Details

Primary Language English
Subjects Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics)
Journal Section Research Articles
Authors

S. Teresa Arockiamary This is me 0000-0001-5887-0875

P. Vijayalakshmi This is me 0000-0002-0730-0925

Publication Date September 1, 2025
Submission Date June 12, 2024
Acceptance Date October 26, 2024
Published in Issue Year 2025 Volume: 15 Issue: 9

Cite