Manuscript Title:

ENTIRE LITACT DOMINATION IN GRAPHS

Author:

RENUKA LAKSHMI AVVARI, VANI MANDA, RAMALINGESWARARAO S, LAKSHMI PRASANNA NISSANKARA, LAKSHMI SANGEETA SYAMALA

DOI Number:

421232

Published : 2023-12-23

About the author(s)

1. RENUKA LAKSHMI AVVARI - Department of Sciences and Humanities, Vasireddy Venkatadri Institute of Technology, Nambur, A.P, India.
2. VANI MANDA - Department of Sciences and Humanities, Vasireddy Venkatadri Institute of Technology, Nambur, A.P, India.
3. RAMALINGESWARARAO S - Department of Engineering Mathematics and Humanities, S.R.K.R Engineering College, Bhimavaram, A.P, India.
4. LAKSHMI PRASANNA NISSANKARA - Department of Computer Science and Engineering, Vasireddy Venkatadri Institute of Technology, Nambur, A.P, India
5. LAKSHMI SANGEETA SYAMALA - Department of Science and Humanities, Mallareddy University, Kompally, Hyderabad, Telangana, India.

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Abstract

Present palimpsest is aimed to put before a diverse domination variant namely entire domination number on the litact graph. we calculated some particular values of the defined variables for the graph families like Wheel, Cycle, Path, Complete, Bi partite graphs etc., Further a set of theorems were proved which includes some relations of the defined parameters in terms of the graph variables like order, size, the extreme values of edge and vertex degree, covering number of vertex and edge, vertex and edge independence number, domination/total/ connected domination number etc. Further the Nordhaus- Gaddum kinds of upshots are too established.


Keywords

Litact Dominating Set, Litact Domination Number, Entire Litact Dominating Set, Entire Litact Domination Number.