Modified Eccentric Connectivity Index and Polynomial of Antiviral Drugs used to Combat Viral Diseases of Graphs
Jyoti D K1, Thukarama V2
1Jyoti D K, Department of Mathematics, Government College for Women, Mandya (Karnataka), India.
2Dr Thukarama V, Department of Mathematics, Government First Grade College, Tipur (Karnataka), India.
Manuscript received on 11 July 2026 | First Revised Manuscript received on 25 July 2026 | Second Revised Manuscript received on 18 September 2026 | Manuscript Accepted on 15 October 2026 | Manuscript published on 30 October 2026 | PP: 13-18 | Volume-6 Issue-2, October 2026 | Retrieval Number: 100.1/ijam.B125006021026 | DOI: 10.54105/ijam.B1250.06021026
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Abstract: The eccentric connectivity index of a graph is defined as the sum of the products of eccentricity with the degree of vertices over all vertices of the graph, and the modified eccentric connectivity index of a graph is defined as the sum of the products of eccentricity with the total degree of neighbouring vertices over all vertices of the graph. In this paper, we find the eccentric connectivity index and modified eccentric connectivity index, and their respective polynomial versions, for antiviral drugs.
Keywords: Eccentricity, Topological Index, Eccentric Connectivity Index, Modified Eccentric Connectivity Index, Zika Virus, Smallpox, Antiviral drugs.
Scope of the Article: Number Theory