5 papers
On the Wiener and Harary Indices of Generalized Splitting and Shadow-Splitting Graphs
Purva J. Makadiya, Mahesh M. Jariya, Prashant J. Makadiya
In this paper, we determine the Wiener index and the Harary index for the -generalized splitting graph and the -shadow-splitting graph for a…
Energy and Vertex Energy of Modified Divisor Prime Graphs
Purva J. Makadiya, Mahesh M. Jariya, Prashant J. Makadiya
This paper investigates the energy and vertex energy of the modified divisor prime graph , which is distinguished from the standard divisor prime graph by the inclusio…
Topological Indices of Divisor Prime Graphs
Purva J. Makadiya, Mahesh M. Jariya, Prashant J. Makadiya
Graph theory provides powerful tools for modeling concepts in number theory, leading to the introduction of graphs derived from arithmetic properties. One such structure is the div…
On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory
Manoj Choudhuri, Prashant J. Makadiya
We develop a continued fraction algorithm in finite extensions of $\Q_p$ generalising certain algorithms in $\Q_p$, and prove the finiteness property for certain small degree exten…
On values of isotropic quadratic forms
Manoj Choudhuri, Prashant J. Makadiya
Let be a locally compact non-discrete field of characteristic and be a non-degenerate isotropic binary quadratic form with coefficients in . We obtain asymptotic e…