Shrinath Manjarekar

Functional Quantum Calculus Approach to Degree-Based Topological Indices in Chemical Graph Theory

In this research article, we replace the integer degree n = deg(v) of a vertex by its q(t)-analogue [n]q(t) and by an h(t)-analogue ⟨n⟩h(t) obtained from the h(t)-derivative of x n at x = 1, and we show that every classical degree-based index TI(G) = ∑︁uv∈E(G) F(deg u, deg v) admits two functional companions TIq(t)(G)...