Research Article

Bounds on the Path Energy

Number: 30 March 26, 2020
EN

Bounds on the Path Energy

Abstract

In this paper, the path energy for path matrix is investigated. Some bounds for the path energy in terms of the eigenvalues and the vertices are explored.

Also, some relations are obtained for tree connected graphs.

Keywords

References

  1. S. C. Patekar M.M. Shikare, On the path matrices of graphs and their properties, Adv. Appl. Discr. Math. 17 (2016) 169-184.
  2. S. Akbari, A.H. Ghodrati, I. Gutman, M.A. Hosseinzadeh, E.V. Konstantinova, On Path Energy of Graphs, MATCH Commun. Math. Comput. Chem. 81 (2019) 465-470.
  3. M.M. Shikare, P.P. Malavadkar, S.C. Patekar and I. Gutman, On path eigenvalues and path energy of graphs, MATCH Commun. Math. Comput. Chem. 79 (2018) 387-398.
  4. A. Lupas, A remark on the Schweitzer and Kantorovich Inequalities, Publikacije Elektrotehni\v{c}kog Fakulteta, Serija Matematika i Fizika, 381-409 (1972) 13-15.
  5. P. Cerone, S.S. Dragomir, A refinement of the Gruss inequality and applications,Tamkang J. Math. 38 (1) (2007) 39-49.
  6. R.B. Bapat, Graphs and Matrices, Indian Statistical Institute, New Delhi 110016, India.
  7. S. Büyükköse, G. Kaya Gök, Graf Teoriye Giris, Nobel Akademik Yay. Egitim Dan. Tic.Ltd.Sti, Ankara, (2018).
  8. G. Kaya Gök, Some bounds on the distance-sum-connectivity matrix, Journal of Inequalities and Applications 2018 171.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

March 26, 2020

Submission Date

October 30, 2019

Acceptance Date

March 22, 2020

Published in Issue

Year 2020 Number: 30

APA
Kaya Gök, G. (2020). Bounds on the Path Energy. Journal of New Theory, 30, 64-68. https://izlik.org/JA52LJ84DF
AMA
1.Kaya Gök G. Bounds on the Path Energy. JNT. 2020;(30):64-68. https://izlik.org/JA52LJ84DF
Chicago
Kaya Gök, Gülistan. 2020. “Bounds on the Path Energy”. Journal of New Theory, nos. 30: 64-68. https://izlik.org/JA52LJ84DF.
EndNote
Kaya Gök G (March 1, 2020) Bounds on the Path Energy. Journal of New Theory 30 64–68.
IEEE
[1]G. Kaya Gök, “Bounds on the Path Energy”, JNT, no. 30, pp. 64–68, Mar. 2020, [Online]. Available: https://izlik.org/JA52LJ84DF
ISNAD
Kaya Gök, Gülistan. “Bounds on the Path Energy”. Journal of New Theory. 30 (March 1, 2020): 64-68. https://izlik.org/JA52LJ84DF.
JAMA
1.Kaya Gök G. Bounds on the Path Energy. JNT. 2020;:64–68.
MLA
Kaya Gök, Gülistan. “Bounds on the Path Energy”. Journal of New Theory, no. 30, Mar. 2020, pp. 64-68, https://izlik.org/JA52LJ84DF.
Vancouver
1.Gülistan Kaya Gök. Bounds on the Path Energy. JNT [Internet]. 2020 Mar. 1;(30):64-8. Available from: https://izlik.org/JA52LJ84DF

 

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