A Note on the Gutman Index of Jaco Graphs
Johan Kok, Susanth C, Sunny Joseph Kalayathankal
TL;DR
This paper explores the Gutman index of Jaco graphs, providing recursive formulas and calculations for specific cases, thereby extending the understanding of graph invariants in this family of graphs.
Contribution
It introduces a recursive formula for the Gutman index of Jaco graphs and computes this index for edge-joint configurations, expanding the theoretical framework.
Findings
Derived a recursive formula for Gutman index of Jaco graphs
Calculated Gutman index for edge-joint of Jaco graphs
Extended the application of Gutman index to directed graph structures
Abstract
The concept of the \emph{Gutman index}, denoted was introduced for a connected undirected graph . In this note we apply the concept to the underlying graphs of the family of Jaco graphs, (\emph{directed graphs by definition}), and describe a recursive formula for the \emph{Gutman index} We also determine the \emph{Gutman index} for the trivial \emph{edge-joint} between Jaco graphs.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGraph theory and applications · Topological and Geometric Data Analysis · Graphene research and applications