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math.CO2020
Total eccentricity index of graphs with fixed number of pendant or cut vertices
Dinesh Pandey, Kamal Lochan Patra
The total eccentricity index of a connected graph is defined as sum of the eccentricities of all its vertices. We denote the set of all connected graphs on vertices with pe…
math.CO2020
A conjecture on different central parts of binary trees
Dinesh Pandey, Kamal Lochan Patra
Let be the family of binary trees on vertices obtained by identifying the root of an rgood binary tree with a vertex of maximum eccentricity of a binary caterpillar. In t…
math.CO2020
Different central parts of trees and their pairwise distances
Dinesh Pandey, Kamal Lochan Patra
We determine the tree which maximizes the distance between characteristic set and subtree core over all trees on vertices. The asymptotic nature of this distance is also discus…