COMPUTING CERTAIN TOPOLOGICAL INDICES OF SOME DOMINATING GRAPH OPERATIONS OF KRAGUJEVAC TREES

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Published: 2017-01-25

Page: 30-40


B. BASAVANAGOUD *

Department of Mathematics, Karnatak University, Dharwad, India.

SUJATA TIMMANAIKAR

Department of Mathematics, Government Engineering College, Haveri, India.

*Author to whom correspondence should be addressed.


Abstract

In the mathematical literature several transformation graphs have been considered and constructed. Let G denote the set of simple undirected graphs. Various important results in graph theory have been obtained by considering some functions F : G → G  or Fs : G1× …× Gs → G  called transformations or operations (here each Gi = G ) and by establishing how these operations affect certain properties or parameters of graphs. The same concept of transformation has been applied to dominating sets and defined a variety of dominating transformation(d-transformation) graphs. In this paper we compute the first Zagreb index, coindex and forgotten index of certain graph operations.

Keywords: Degree, zagreb indices, zagreb coindices, forgotten index, graph operations


How to Cite

BASAVANAGOUD, B., & TIMMANAIKAR, S. (2017). COMPUTING CERTAIN TOPOLOGICAL INDICES OF SOME DOMINATING GRAPH OPERATIONS OF KRAGUJEVAC TREES. Asian Journal of Mathematics and Computer Research, 15(1), 30–40. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/711

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