Laplacian Minimum Covering Randic Energy of A Graph

Authors

  • M.R. Rajesh Kanna Sri D. Devaraj Urs Government First Grade College, Hunsur 571 105, Mysore District, Karnataka
  • R. Jagadeesh Research and Development Center, Bharathiar University, Coimbatore 641 046, India; Government Science College (Autonomous), Nrupathunga Road, Bangalore 560 001, India

DOI:

https://doi.org/10.26713/cma.v9i2.533

Keywords:

Minimum covering set, Minimum covering Randic matrix, Laplacian minimum covering Randic matrix, Laplacian minimum covering Randic eigenvalues, Laplacian minimum covering Randic energy

Abstract

Randic energy was first defined in the article [6]. Using minimum covering set, we have introduced in this article Laplacian minimum covering Randic energy \(LRE_C(G)\) of a graph \(G\). This article contains computation of Laplacian minimum covering Randic energies for some standard graphs like star graph, complete graph, crown graph, complete bipartite graph and cocktail graph. At
the end of this article upper and lower bounds for Laplacian minimum covering Randic energy are also presented.

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Published

30-06-2018
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How to Cite

Kanna, M. R., & Jagadeesh, R. (2018). Laplacian Minimum Covering Randic Energy of A Graph. Communications in Mathematics and Applications, 9(2), 167–188. https://doi.org/10.26713/cma.v9i2.533

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Section

Research Article