Exploration of CPCD number for power graph

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Published: Mar 4, 2023
DOI: https://doi.org/10.21123/bsj.2023.8423
Keywords:
Corona domination number, Cycle, Path, Pendent vertex, Perfect matching, Support vertex

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S. Anuthiya
The Gandhigram Rural Institute - Deemed to be University, Gandhigram, Tamilnadu, India.
https://orcid.org/0000-0001-8313-6445
G. Mahadevan
The Gandhigram Rural Institute - Deemed to be University, Gandhigram, Tamilnadu, India.
https://orcid.org/0000-0003-2438-1576
C. Sivagnanam
Department of General Requirments, University of Technology and Applied Sciences- Sur, Sultanate of Oman.
https://orcid.org/0000-0002-2370-310X

Abstract

Recently, complementary perfect corona domination in graphs was introduced. A dominating set S of a graph G is said to be a complementary perfect corona dominating set (CPCD – set) if each vertex in  is either a pendent vertex or a support vertex and  has a perfect matching. The minimum cardinality of a complementary perfect corona dominating set is called the complementary perfect corona domination number and is denoted by . In this paper, our parameter hasbeen discussed for power graphs of path and cycle.

Received 20/1/2023

Revised 18/2/2023

Accepted 19/2/2023

Published 4/3/2023

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1.
Anuthiya S, Mahadevan G, Sivagnanam C. Exploration of CPCD number for power graph. Baghdad Sci.J [Internet]. 2023 Mar. 4 [cited 2023 Mar. 21];20(1(SI):0380. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8423
Issue
Vol. 20 No. 1(SI) (2023): 1(Special Issue) ICAAM
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article
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This work is licensed under a Creative Commons Attribution 4.0 International License.

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