Characterization of Unique Boundary Point Graphs

Authors

  • M. Sivanandha Saraswathy Associate Professorof Mathematics, Velammal College of Engineering and Technology, India
  • A. Sathiya Assistant Professor of Mathematics, School of Science and Technology, Dhanalakshmi Srinivasan University, India
  • S. Saranyasri Assistant Professor of Mathematics, K. Ramakrishnan College of Technology, India
  • S. Sarulatha Associate Professor of Mathematics, J.J.College of Engineering and Technology, India

DOI:

https://doi.org/10.63278/1395

Keywords:

Graph, Point degree, Point distant,Boundary Point, Unique Boundary Point graphs.

Abstract

For a connected graph G, the distance between two points is the length of a shortest path joining them. The eccentricity e(u) of a point u is the distance to a point farthest from u. A point v is a boundary point of a point u if  d(u,w)≤d(u,v) for all wϵN(v).. A graph G is said to be unique boundary point graph if every point of G has a unique boundary point. The NazziSchnedermann style of proof is followed in characterizing the family of graphs which is a Unique Boundary point graphs or not.

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Published

2025-04-16

How to Cite

M. Sivanandha Saraswathy, A. Sathiya, S. Saranyasri, and S. Sarulatha. 2025. “Characterization of Unique Boundary Point Graphs ”. Metallurgical and Materials Engineering 31 (4):44-47. https://doi.org/10.63278/1395.

Issue

Vol. 31 No. 4 (2025)

Section

Research

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Copyright (c) 2025 M. Sivanandha Saraswathy, A. Sathiya, S. Saranyasri, S. Sarulatha

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