Advances and Applications in Discrete Mathematics

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GEODETIC POLYNOMIALS OF $n$-SUNLET AND TRIANGULAR SNAKE $TS_n$ GRAPHS

Authors

  • John Russel D. Evangelista
  • Hounam B. Copel
  • Mercedita A. Langamin
  • Nurijam Hanna M. Mohammad
  • Sisteta U. Kamdon
  • Alcyn R. Bakkang

Keywords:

geodetic number, geodetic polynomial, geodetic.

DOI:

https://doi.org/10.17654/0974165823064

Abstract

This paper presents some results on the geodetic polynomials of some graphs, in particular, the geodetic polynomials of $n$-Sunlet and Triangular Snake $TS_n$ graphs.

Received: August 18, 2023;
Accepted: October 9, 2023

References

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Prosenjit Bose, Anil Maheshwari, Chang Shu and Stefanie Wuhrer, Survey of geodesic paths on 3D surfaces, Computational Geometry 44(9) (2011), 486-498.

Martin R. Bridson, Jose Burillo, Murray Elder and Zoran Sunic, On groups whose geodesic growth is polynomial, 2012. arXiv:1009.5051v3 [math.GR].

Julie Marie Bronnimann, Geodesic growth of groups, A published thesis, Institute de Mathematiques de Universit de Neuchtel, Rue Ernile Argand 11, Neuchtel, Switzerland, 2000.

C. M. de Fonseca, The path polynomial of a complete graph, Electronic Journal of Linear Algebra, A Publication of the International Linear Algebra Society 10 (2003), 155-162.

Frank Harary, Emmanuel Loukakis and Constantine Tsouros, The geodetic number of a graph, Mathematical and Computer Modelling 17(11) (1993), 89-95.

K. M. Tejaswini and V. M. Goudar, Nonsplit geodetic number of a graph, International Journal of Math. Combin. 2 (2016), 109-120.

A. Vijayan and K. Vijila Dafini, On geodetic sets and geodetic polynomials of wheels and paths, International Journal of Math. Sci. and Engg. Appls. (IJMSEA) 6(3) (2012), 123-137.

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Published

2023-11-02

Issue

Vol. 40 No. 2 (2023)

Section

Articles

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How to Cite

GEODETIC POLYNOMIALS OF $n$-SUNLET AND TRIANGULAR SNAKE $TS_n$ GRAPHS. (2023). Advances and Applications in Discrete Mathematics, 40(2), 177-186. https://doi.org/10.17654/0974165823064

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