On the M-polynomial and Degree-Based Topological Indices of Dandelion Graph.

For a graph G, the M-polynomial is defined to be... where mαβfi(α, β; ≥ 1) is the number of edges ab of G such that degG(a) = and degG(b) = fi; and ffi is the minimum degree and is the maximum degree of G. The physicochemical properties of chemical graphs are found by topological indices, in particular, the degree-based topological indices, which can be determined from an algebraic formula called M-polynomial. In this paper, we first compute the M-polynomial of the Dandelion graph and the line graph of Dandelion graph. Further, we derive some degree-based topological indices of these graphs from their respective M-polynomial. [ABSTRACT FROM AUTHOR]