ON VARIOUS GRAPH ENERGIES OF SHADOW GRAPH

Main Article Content

P. R. HAMPIHOLI
ANJANA S. JOSHI
VINAYA V. DESHPANDE
P. V. ADHYAPAK

Abstract

In last three decades spectra and energy of graphs are gaining importance in various fields of Science. Properties of Adjacency and Laplacian matrices are explored by various researchers across globe. In this paper, different graph energies of shadow graph of regular graphs are computed to show that these different energies of shadow graph are multiples of corresponding energies of graph G

Keywords:
Shadow graph, spectra, energy, regular graph, kronecker product.

Article Details

How to Cite
HAMPIHOLI, P. R., JOSHI, A. S., DESHPANDE, V. V., & ADHYAPAK, P. V. (2020). ON VARIOUS GRAPH ENERGIES OF SHADOW GRAPH. Asian Journal of Mathematics and Computer Research, 27(4), 27-36. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/5918
Section
Original Research Article

References

Gutman I. The energy of a graph. Berichte der Mathematisch–Statistischen Sektionim Forschungszentrum Graz. 1978;103:1–22.

Horn RA, Johnson CR. Topics in matrix analysis, Cambridge University Press, Cambridge, UK; 1991.

Vaidya SK, Popat KM. Some new results on energy of graphs. MATCH Communications in Mathematical and in Computer Chemistry. 2017;77:589–594.

Jog SR, Hampiholi PR, Anjana S Joshi. On energy of some graphs, Annals of Pure and Applied Mathematics. 2018;15–21.

Zheng-Qing Chu, Saima Nazeer, Tariq Javed Zia, Imran Ahmed, Sana Shahid. Some new results on various graph energies of the splitting graph. Hindawi Journal of Chemistry; 2019.

Adiga C, Smitha M. On maximum degree energy of a graph. International Journal of Contemporary Mathematical Sciences. 2009;4(8):385–396.

Das KC, Sorguna S, Xu K. On randic energy of graphs. MATCH Communications in Mathematical and in Computer Chemistry. 2014;72(1):227–238.

Nageswari P, Sarasija PB. Seidel energy and its bounds. International Journal of Mathematical Analysis. 2014;8(58):2869–2871.

Zhou B, Trinajstic N. On the sum-connectivity matrix and sum-connectivity energy of (molecular) graphs. Acta Chimica Slovenica. 2010;57(3):513–517.

Rad NJ, Jahanbani A, Gutman I. Zagreb energy and Zagreb estrada index of graphs. MATCH Communications in Mathematical and in Computer Chemistry. 2018;79:371–386.