Inverse Domination Numbers to the Kronecker Product of Some Standard graphs with Path
Keywords:
Domination, inverse domination, Kronecker product.
Abstract
Let G be a non-trivial connected graph with verte???? set V (G). A subset D of V(G) is said to be a dominating set if all the elements of V-D are adjacent with at least one element in D. A minimum dominating set is a dominating set with minimum cardinality and its value is known as its domination number, denoted by γ (G).If D′ is a dominating set in V-D is called the inverse dominating set of G with respect to D. The minimum cardinality taken over all inverse dominating sets of G is called the inverse domination number denoted by γ′. In this paper we find the inverse domination number of the resultant graphs obtained by the Kronecker product of some standard graphs with path.
References
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6. Journal of Emerging Technologies and Innovative Research (JETIR), March 2020,
7. Volume 7, Issue 3, ISSN- 2349- 5162.nhMJMJ
2. of Mathematics Trends and Technology - Volume 3; Issue 1- 2012; ISSN: 2231-5373.
3. . V. R. Kulli, S. C. Singarkanti; Inverse Domination in Graphs, Nat. Acad. Sci. Letters
4. Vol. 14; 473–475; 1991.
a. Bottreu, Y. Metivier; Some Remarks on the Kronecker Product of Graphs, Inform.
5. Process. Lett. 68 (1998) 55–61. Shobha Shukla and Vikas Singh Thakur, Domination and its Types in Graph Theory,
6. Journal of Emerging Technologies and Innovative Research (JETIR), March 2020,
7. Volume 7, Issue 3, ISSN- 2349- 5162.nhMJMJ
Published
2026-06-23
How to Cite
R. Grace Jerin, & B. Stephen John. (2026). Inverse Domination Numbers to the Kronecker Product of Some Standard graphs with Path. Revista Electronica De Veterinaria, 27(1), 19 - 26. https://doi.org/10.69980/redvet.v27i1.2468
Section
Articles
