Far East Journal of Applied Mathematics

The Far East Journal of Applied Mathematics publishes original research papers and survey articles in applied mathematics, covering topics such as nonlinear dynamics, approximation theory, and mathematical modeling. It encourages papers focusing on algorithm development.

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SUM INDEG ENERGY OF GRAPHS

Authors

  • Pushpalatha Mahalank
  • K. N. Prakasha
  • Ismail Naci Cangul

Keywords:

graph energy, sum indeg Laplacian eigenvalues, sum indeg energy.

DOI:

https://doi.org/10.17654/0972096022007

Abstract

The concept of energy of a graph was introduced by Gutman in [2]. The energy of a graph G, often denoted by E = E(G) is the sum of the absolute values of eigenvalues of the adjacency matrix A(G) of the graph G. The purpose of this paper is to investigate the sum indeg energy. The sum indeg energy has been computed for some graph structures and some bounds have also been given. The existence of sum indeg cospectral graphs has been shown and also two non-cospectral equienergetic general graph classes are given.

Received: December 30, 2021
Accepted: February 18, 2022

References

F. Celik and I. N. Cangul, Some recurrence relations for the energy of cycle and path graphs, Proc. Jangjeon Math. Soc. 21(3) (2018), 347-355.

I. Gutman, The energy of a graph, Ber. Math. Stat. Sekt. Forschungsz. Graz 103 (1978), 1-22.

F. Harary, Graph Theory, Addison-Wesley Publishing, 1969.

M. R. R. Kanna, R. P. Kumar, D. S. Nandappa and I. N. Cangul, Some properties of q-distance energy, Adv. Stud. Contemp. Math. 30(2) (2020), 171-185.

K. N. Prakasha, P. S. K. Reddy and I. N. Cangul, Symmetric division deg energy of a graph, Turkish Journal of Analysis and Number Theory 5(6) (2017), 202-209.

K. N. Prakasha, P. S. K. Reddy and I. N. Cangul, Sum-connectivity energy of graphs, Adv. Math. Sci. Appl. 28(1) (2019), 85-98.

K. N. Prakasha, S. K. R. Polaepalli and I. N. Cangul, Minimum covering Randic energy of a graph, Kyungpook Math. J. 57 (2017), 701-709.

K. N. Prakasha, P. S. K. Reddy and I. N. Cangul, Inverse sum indeg energy of a graph, Proc. Jangjeon Math. Soc. 31(1) (2021), 7-20.

H. S. Ramane, S. Y. Talwar and I. N. Cangul, Status sum eigenvalues and energy of graphs, Adv. Stud. Contemp. Math. 30(1) (2020), 29-47.

K. S. Rao, K. N. Prakasha, K. Saravanan and I. N. Cangul, Maximum degree energy, Adv. Stud. Contemp. Math. 31(1) (2021), 49-66.

P. S. K. Reddy, K. N. Prakasha and I. N. Cangul, Partition Laplacian energy of a graph, Adv. Stud. Contemp. Math. 27(4) (2017), 477-494.

E. Sampathkumar, L. Pushpalatha, C. V. Venkatachalam and P. Bhat, Generalized complements of a graph, Indian J. Pure Appl. Math. 29(6) (1998), 625-639.

G. Sridhara, M. R. R. Kanna, R. Jagadeesh and I. N. Cangul, Improved McClelland and Koolen-Moulton bounds for the energy of graphs, Sci. Magna 13(1) (2018), 48-62.

M. Togan, A. Yurttas and I. N. Cangul, Zagreb and multiplicative Zagreb indices of r-subdivision graphs of double graphs, Sci. Magna 12(1) (2017), 115-119.

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Published

2022-03-12

Issue

Vol. 113 (2022)

Section

Articles

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How to Cite

SUM INDEG ENERGY OF GRAPHS. (2022). Far East Journal of Applied Mathematics, 113, 11-27. https://doi.org/10.17654/0972096022007

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