Partition energy of m-splitting graph and their generalized complements

Let G be graph with partition P={V1, V2, …, Vk} of the vertex set V. Recently E. Sampathkumar et al. [22] introduced the concept of k-partition energy of graph EPₖ (G) and studied partition energy of certain class of graphs. In this paper we compute partition energy of some m-splitting graphs Sm(G). The graphs we consider are Sm (Kn), Sm(Cn), Sm(Kn×2), Sm(Kn,n) and their generalized complements.

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Publication Details

Journal
Proyecciones (Antofagasta)
Published
2024-09-23
DOI
https://doi.org/10.22199/issn.0717-6279-5739
Citations
1
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
1.01
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article

Partition energy of m-splitting graph and their generalized complements

C. R. Veena, S. V. Roopa, M. A. Sriraj, B. C. Shwetha
1 citations
Proyecciones (Antofagasta)
Graph theory and applications
1.01
article

Partition energy of m-splitting graph and their generalized complements

C. R. Veena, S. V. Roopa, M. A. Sriraj, B. C. Shwetha
article en
1 citations

Abstract

Let G be graph with partition P={V1, V2, …, Vk} of the vertex set V. Recently E. Sampathkumar et al. [22] introduced the concept of k-partition energy of graph EPₖ (G) and studied partition energy of certain class of graphs. In this paper we compute partition energy of some m-splitting graphs Sm(G). The graphs we consider are Sm (Kn), Sm(Cn), Sm(Kn×2), Sm(Kn,n) and their generalized complements.

Proyecciones (Antofagasta)Vol. 43(5)
University of Mysore (IN), Visvesvaraya Technological University (IN)
Openalex Percentile: Top 25%
Graph theory and applications
1.01
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