K-Banhatti Indices, Polynomials, K-Banhatti Sombor Indices, Multiplicative Gourava Indices of OTIS Swapped, Bi-Swapped and K-Swapped Networks

N. K. Raut; N. K. Raut

doi:10.21275/MR25309133150

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Research Paper | Physical Science | India | Volume 14 Issue 3, March 2025 | Popularity: 4.6 / 10

K-Banhatti Indices, Polynomials, K-Banhatti Sombor Indices, Multiplicative Gourava Indices of OTIS Swapped, Bi-Swapped and K-Swapped Networks

N. K. Raut

Abstract: Let G be a connected graph with vertex set V(G) and edge set E(G). The first K-Banhatti index is defined as B₁(G) = ∑_ue (d_G(u) + d_G(e)), where d_G(e) = d_G(u) + d_G(v) - 2 and e = uv, u ~ e for the vertex u and an edge e are adjacent in the graph G [1]. In this paper, some K-Banhatti indices, polynomials, K-Banhatti Sombor indices, multiplicative Gourava indices, and sum degree-based indices are studied for OTIS swapped, Bi-swapped, and K-swapped networks.

Keywords: K-Banhatti indices, polynomials, K-Banhatti Sombor indices, multiplicative Gourava indices, OTIS swapped network and sum degree-based indices

Edition: Volume 14 Issue 3, March 2025

Pages: 417 - 422

DOI: https://www.doi.org/10.21275/MR25309133150

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N. K. Raut, "K-Banhatti Indices, Polynomials, K-Banhatti Sombor Indices, Multiplicative Gourava Indices of OTIS Swapped, Bi-Swapped and K-Swapped Networks", International Journal of Science and Research (IJSR), Volume 14 Issue 3, March 2025, pp. 417-422, https://www.ijsr.net/getabstract.php?paperid=MR25309133150, DOI: https://www.doi.org/10.21275/MR25309133150