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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 20, Issue 3 Article
Research Article

ON INDEPENDENT PARTITIONS OF VERTEX SET IN A GRAPH

K
K. K. Dechamma Department of Mathematics, T. John Institute of Technology, Bangalore - 560083, Karnataka, INDIA
K
K. R. Rajanna Department of Mathematics, Acharya Institute of Technology, Bangalore - 560107, Karnataka, INDIA
R
R. Rajendra Department of Mathematics, Field Marshal K. M. Cariappa College Madikeri - 571201, INDIA
P
P. Siva Kota Reddy Department of Mathematics, JSS Science and Technology University, Mysuru - 570006, Karnataka, INDIA
Volume 20, Issue 3 Pages 15-24 December 30, 2024 305 downloads
Article overview

Abstract

We define independent partition of the vertex set V(G) as a partition of V(G) into independent sets in a graph G. The concepts of independent graph of a graph G with respect to an independent partition and a dummy independent set in an independent partition have been introduced. Some results on these concepts are presented.

Keywords and Phrases

Independent SetDummy Independent SetIndependent PartitionIndependent Graph.

AMS Subject Classification

05CXX, 05C69.

Reference information

How to Cite

K. K. Dechamma, K. R. Rajanna, R. Rajendra, P. Siva Kota Reddy (2024). ON INDEPENDENT PARTITIONS OF VERTEX SET IN A GRAPH. South East Asian Journal of Mathematics and Mathematical Sciences, 20(3), 15-24.
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