Advances and Applications in Discrete Mathematics

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TRICLIQUE NEIGHBORHOOD POLYNOMIALS OF THE JOIN AND CORONA OF GRAPHS

Authors

  • Mohammad Nur S. Paspasan
  • Aldison M. Asdain
  • Eman C. Ahmad
  • Rosalio G. Artes Jr.

Keywords:

triclique, triclique polynomial, neighborhood system

DOI:

https://doi.org/10.17654/0974165825043

Abstract

In this paper, we establish the balanced triclique polynomial and balanced triclique neighborhood polynomial of graphs resulting from the join and corona of graphs.

References

[1] R. G. Artes Jr., M. A. Langamin and A. B. Calib-og, Clique common neighborhood polynomial of graphs, Advances and Applications in Discrete Mathematics 35 (2022), 77-85.

[2] R. G. Artes Jr. and R. A. Rasid, Balanced biclique polynomial of graphs, Glob. J. Pure Appl. Math. 12(5) (2016), 4427-4433.

[3] R. G. Artes Jr. and R. A. Rasid, Combinatorial approach in counting the balanced bicliques in the join and corona of graphs, Journal of Ultra Scientist of Physical Sciences 29(5) (2017), 192-195.

[4] J. Ellis-Monaghan and J. Merino, Graph Polynomials and their Applications II: Interrelations and Interpretations, Birkhauser, Boston, 2011.

[5] E. Farrel, A note on the clique polynomial and its relation to other graph polynomials, Journal of Mathematical Science 8 (1997), 97-102.

[6] F. Harary, Graph Theory, CFC Press, Boca Raton, 1969.

[7] C. Hoede and X. Li, Clique polynomials and independent set polynomials of graphs, Discrete Math. 125 (1994), 219-228.

[8] J. F. B. Maldo and R. G. Artes Jr., Applications of Chuh-Shih-Chieh’s identity in geodetic independence polynomials, Int. J. Math. Comput. Sci. 19(3) (2024), 649-652.

[9] C. A. Villarta, R. G. Eballe and R. G. Artes Jr., Induced path polynomials of the join and corona of graphs, Int. J. Math. Comput. Sci. 19(3) (2024), 643-647.

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Published

2025-09-12

Issue

Vol. 42 No. 7 (2025)

Section

Articles

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Copyright (c) 2025 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

TRICLIQUE NEIGHBORHOOD POLYNOMIALS OF THE JOIN AND CORONA OF GRAPHS. (2025). Advances and Applications in Discrete Mathematics, 42(7), 665-675. https://doi.org/10.17654/0974165825043

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