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International Journal of Creative and Open Research in Engineering and Management

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Volume 02, Issue 7

Published on: July 2026

METRO DOMINATION NUMBER OF TRIANGULAR SNAKE GRAPH

Rakshitha H M Rajeshwari Shibaraya G C Basavaraju

Department of Mathematics
Brindavan College of Engineering, Bengaluru, India-063

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Plagiarism Passed Peer Reviewed Open Access

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Abstract

A Subset of the vertex set of the graph is said to be a dominating set if every vertex in is adjacent to at least one vertex in . The minimum cardinality of the dominating set is called the domination number . The metro domination number is the order of a minimum dominating set which resolves as a metric set. It is denoted by . In this paper, we determine metro domination number of Triangular Snake graph.

Keywords— Domination number, Metric dimension, Metro domination number, Locating domination number.

How to Cite this Paper

M, R. H., Shibaraya, R. & Basavaraju, G. C. (2026). Metro Domination Number of Triangular Snake Graph. International Journal of Creative and Open Research in Engineering and Management, <i>02</i>(7). https://doi.org/10.55041/ijcope.v2i7.101

M, Rakshitha, et al.. "Metro Domination Number of Triangular Snake Graph." International Journal of Creative and Open Research in Engineering and Management, vol. 02, no. 7, 2026, pp. . doi:https://doi.org/10.55041/ijcope.v2i7.101.

M, Rakshitha,Rajeshwari Shibaraya, and G Basavaraju. "Metro Domination Number of Triangular Snake Graph." International Journal of Creative and Open Research in Engineering and Management 02, no. 7 (2026). https://doi.org/https://doi.org/10.55041/ijcope.v2i7.101.

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References

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[3] Basavaraju, G. C ,On the k-metro domination number of cartesian product of C3 x Cn. International Journal of Health Sciences, 6(S9), 377823782. Retrieved from https://sciencescholar.us/journal/index.php/ijhs/article/view/13468 (2022).

[4]. G.C Basavaraju & Vishukumar M, On the   Metro domination number of Cartesian product of path & cycle, Journal of engineering and applied sciences, 14(2019), no.1, pp.114-119.

[5]. Slashi Leel and Sweta srivastav, Domonation number in the context of some new graphs, Engineering proceedings 2024,62,14. https://doi.org/ 10.3390/ engproc 2024062014.

[6]. G.C Basavaraju & Vishukumar M,On the K-Metro domination number of Cartesian product of paths, Journal of Advanced Research in                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           Dynamical & Control System,  11(2019), no.1, pp.425-431.

[7]. G.C Basavaraju & Rajeswari Shibaraya, Metro domination number of diamond snake graph, International Journal For Research Trends & Innovation, Vol.7, Issue-3

[8]. G.C Basavaraju & Vishukumar M, Metro domination number of powers of path, International Journal of Emerging Technology and Advance Engineering, 8(2017), no.3, pp.539-545.

[9]. Vishukumar M & G.C Basavaraju, Metro domination number of square of path, Annals of Pure & Applied Mathematics, 14(2017), no.3, pp.539-545.

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  • Published on: Jul 10 2026
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