ON THE OUTER CONNECTED GEO CHROMATIC NUMBER OF SOME GRAPHS

Authors

  • Kamal Devi P Department of Mathematics, Pioneer Kumaraswamy College, Nagercoil-629003, Tamil Nadu, India.
  • Chinju Krishna K Department of Physical Sciences (Mathematics), Kristu Jayanti (Deemed to be University), K. Narayanapura, Kothanur, Bengaluru-560077, Karnataka, India.
  • Sowmya S Department of Mathematics, Sree Devi Kumari Women’s College, Kuzhithurai-629163, Tamil Nadu, India
  • Anusha D Department of Mathematics, Arunachala HiTech Engineering College, Mullanganavilai-629165, Tamil Nadu, India.

DOI:

https://doi.org/10.70917/ijcisim-2026-5691

Keywords:

Geo chromatic set, outer connected geo chromatic set, outer connected geo chromatic number

Abstract

For a connected graph G of order at least two, an outer connected geo chromatic set S of G is a geo chromatic set such that S = V(G) or the subgraph induced by V(G) − S is connected. The minimum cardinality of an outer connected geo chromatic set of G is the outer connected geo chromatic number of G and is denoted by χogc(G). In this paper, we determine the outer connected geo chromatic number for some special graph and its bounds.

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Published

2026-09-04

How to Cite

Kamal Devi P, Chinju Krishna K, Sowmya S, & Anusha D. (2026). ON THE OUTER CONNECTED GEO CHROMATIC NUMBER OF SOME GRAPHS. International Journal of Computer Information Systems and Industrial Management Applications, 18(23s), 1170–1175. https://doi.org/10.70917/ijcisim-2026-5691

Issue

Vol. 18 No. 23s (2026)

Section

Original Articles