Edge geodetic parameters of snake graphs
Downloads
DOI:
https://doi.org/10.26637/MJM0603/0027Abstract
In this paper, we investigate the different edge geodetic parameters of triangular snake graph, double triangular snake graph, alternate triangular snake graph, double alternate triangular snake graph, quadrilateral snake graph, double quadrilateral snake graph, alternate quadrilateral snake graph, double alternate quadrilateral snake graph.
Keywords:
Edge geodetic set, Split edge geodetic SetMathematics Subject Classification:
Mathematics- Pages: 635-642
- Date Published: 01-07-2018
- Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)
K.S. Ashalatha, Venkanagouda M. Goudar and Venkatesha, Strong split geodetic number of a graph, International Journal of Computer Applications, 89(4)(2014), $1-4$
G. Chartrand, F. Harary and P.Zhang, On the geodetic number of a graph, Networks, 39(2002), 1-6.
G. Chartrand and P.Zhang, Introduction to Graph Theory, Tata McGraw Hill Pub. Co. Ltd, 2006.
F. Harary, Graph Theory, Addison-Wesely, Reading, MA, 1969.
A. P. Santhakumaran and J. John, Edge geodetic number of a graph, Journal of Discrete Mathematical Sciences and Cryptography, 10(3)(2007), 415-432.
A. P. Santhakumaran, M. Mahendran and P.Titus, The restrained edge geodetic number of a graph, International Journal of Computational and Applied Mathematics, 11(2016), 9-19.
Shobha and Venkanagouda M. Goudar, On the split edge geodetic number in graphs, International Journal of Mathematical Sciences and Engineering Research, $12(1)(2018), 69-78$.
Venkanagouda M. Goudar and Shobha, Total edge geodetic number of a graph, International Journal of Pure and Applied Mathematics, Submitted.
S. K. Vaidya and R. M. Pandit, Edge domination in various snake graphs, International Journal of Mathematics and Soft Computing, 7(1)(2017), 43-50.
K.M. Tejaswini, Venkanagouda M. Goudar and Venkatesh, Nonsplit geodetic number of a graph, International Journal of Mathematical Combinatorics, 2(2016), 109-120.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.