New Eccentricity Based Topological Indices of Total Transformation Graphs
S. M. Hosamani, S. S. Shirakol, M. V. Kalyanshetti, I. N. Cangul
TL;DR
This paper introduces four new topological indices based on eccentricity for total transformation graphs, providing bounds and generalizations of existing graph invariants.
Contribution
It defines novel eccentricity-based invariants and establishes upper bounds for total transformation graphs, extending the concept of the eccentric-connectivity index.
Findings
Four new eccentricity-based invariants introduced
Upper bounds derived for total transformation graphs
Generalizations of the total graph concept provided
Abstract
The eccentric-connectivity index of a graph G is the sum of the products of the eccentricity and the degree of each vertex in G. In this paper, we define four new invariants related to the eccentric-connectivity index and obtain upper bounds for total transformation graphs which are some generalizations of total graph.
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Taxonomy
TopicsGraph theory and applications · Graph Labeling and Dimension Problems · Topological and Geometric Data Analysis