Original Research Article

Article volume = 2024 and issue = 2

Pages: 169–180

Article publication Date: August 24, 2024

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# Generalized minimal dominating graphical indices

#### Veena Bankapur(a), Harish N(a), and Chaluvaraju B(a)

(a) Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bangalore-560 056, India.

##### Abstract:

The significance of the generalized minimal dominating graphical indices is that their specific cases for randomly chosen values of the non-zero real numbers m and n, which are coincide with the vast majority of pre-defined graphical indices being considered. In this paper, we obtain some specific families of graphs, bounds and characterization in terms of order, size, minimum / maximum dominating degree and other dominating degree-based graphical indices. Also, we present the chemical applicability of molecular graph of some basic Benzenoid structures of above said graphical indices.

##### Keywords:

Domination degree, Minimal dominating set, Domination Zagreb indices, Total number of minimal domination set.

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##### Cite this article as:

- Veena Bankapur, Harish N, and Chaluvaraju B, Generalized minimal dominating graphical indices, Communications in Combinatorics, Cryptography & Computer Science, 2024(2), PP.169–180, 2024
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