The (𝑎, 𝑏)− Status Indices of Central Graphs of Some Standard Graph
Sridhara K.R1, Mallikarjun Basanna Kattimani2
1Sridhara K.R.*, Department of Mathematics, A.P.S. College of Engineering, Bangalore (Karnataka), India.
2Dr. Mallikarjun Basanna Kattimani, Department of Mathematics, The Oxford College of Engineering, Bangalore (Karnataka), India.
Manuscript received on 22 March 2022. | Revised Manuscript received on 21 April 2022. | Manuscript published on 30 April 2022. | PP: 12-17 | Volume-8 Issue-8, April 2022. | Retrieval Number: 100.1/ijbsac.H0476048822 | DOI: 10.35940/ijbsac.H0476.048822
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Abstract: The sum of shortest distance between a vertex 𝒖 from all other vertices of a graph 𝑮 is called the index of the vertex 𝒖 and is denoted by 𝝈(𝒖). In this article, we have obtained, the(𝒂,𝒃)− status index  of central graphs of some standard graphs namely star graph, complete graph, cycle graph, wheel graph and friendship graph. Using this new index, we have computed 9 standard status indices of all these central graphs of standard graphs.
Keywords: The (𝒂,𝒃)− Status Index, First and Second Status Indices, First and Second Status Gourava Indices.
Scope of the Article: Mathematics – Graph Theory