Vol. 22 No. Special Issue (2023): Mapana Journal of Sciences- RECENT DEVELOPMENTS IN PURE AND APPLIED MATHEMATICS
Research Articles

On D-Distance and D-Closed Graphs

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  • Sunil M. P,
  • Suresh Kumar J
Sunil M. P
NSS Hindu College, Changanacherry, Kottayam, Kerala- 686102
Suresh Kumar J
N.S.S. Hindu College, Changanacherry, Kottayam, Kerala, India-686102
Bio
DOI: https://doi.org/10.12723/mjs.sp1.15

Published 2023-07-19

Keywords

  • D-distance,
  • D-boundary vertex,
  • D-interior vertex,
  • D-null vertex,
  • D-closure,
  • D-closed graphs
    • ...More
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Abstract

This paper studies the concepts of D-boundary vertex, D-interior vertex, D-null vertex, D-closure of a graph and D-closed graph, based on the idea of  D-distance. We investigate the structural properties of these concepts and determine whether some special classes of graphs are D-closed or not.

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References

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  4. D. Reddy Babu, and P. L. N. Varma, Average D-Distance Between Edges of a Graph, Indian Journal of Science and Technology, vol.8, No.2, pp.152-156, 2015,.
  5. Simmons George F, Introduction to Topology and Modern analysis, Mc Graw Hill, 1963.
  6. M. Suresh, V. Mohanaselvi, Mean vertex D- distance for radial and detour radial graphs, AIP Conference Proceedings, Vol.2112, pp.1-6, 2019.