3 papers
math.CO2026
On a conjecture of DeLaViña and Waller
Dinesh Pandey, Peruvemba Sundaram Ravi
The Wiener index of a connected graph is defined as the sum of distances between all its unordered pairs of vertices. Characterising graphs on vertices with a fixed diameter th…
math.CO2026
On structural properties of some probable -critical graphs
Dinesh Pandey, Peruvemba Sundaram Ravi
The Ramsey number is the smallest positive integer such that every graph on vertices contains either a clique of size or an independent set of size . An $R…
math.CO2025
Extremal graphs with minimum number of connected subgraphs in a given family
Dinesh Pandey, Peruvemba Sundaram Ravi
The subgraph number of a vertex in a graph is defined as the number of connected subgraphs containing that vertex. The graph and its vertex which correspond to the minimum subgraph…