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Year 2020, Issue: 30, 64 - 68, 26.03.2020

Abstract

References

  • S. C. Patekar M.M. Shikare, On the path matrices of graphs and their properties, Adv. Appl. Discr. Math. 17 (2016) 169-184.
  • 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.
  • 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.
  • 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.
  • P. Cerone, S.S. Dragomir, A refinement of the Gruss inequality and applications,Tamkang J. Math. 38 (1) (2007) 39-49.
  • R.B. Bapat, Graphs and Matrices, Indian Statistical Institute, New Delhi 110016, India.
  • S. Büyükköse, G. Kaya Gök, Graf Teoriye Giris, Nobel Akademik Yay. Egitim Dan. Tic.Ltd.Sti, Ankara, (2018).
  • G. Kaya Gök, Some bounds on the distance-sum-connectivity matrix, Journal of Inequalities and Applications 2018 171.

Bounds on the Path Energy

Year 2020, Issue: 30, 64 - 68, 26.03.2020

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.

References

  • S. C. Patekar M.M. Shikare, On the path matrices of graphs and their properties, Adv. Appl. Discr. Math. 17 (2016) 169-184.
  • 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.
  • 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.
  • 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.
  • P. Cerone, S.S. Dragomir, A refinement of the Gruss inequality and applications,Tamkang J. Math. 38 (1) (2007) 39-49.
  • R.B. Bapat, Graphs and Matrices, Indian Statistical Institute, New Delhi 110016, India.
  • S. Büyükköse, G. Kaya Gök, Graf Teoriye Giris, Nobel Akademik Yay. Egitim Dan. Tic.Ltd.Sti, Ankara, (2018).
  • G. Kaya Gök, Some bounds on the distance-sum-connectivity matrix, Journal of Inequalities and Applications 2018 171.
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Gülistan Kaya Gök 0000-0001-9059-1606

Publication Date March 26, 2020
Submission Date October 30, 2019
Published in Issue Year 2020 Issue: 30

Cite

APA Kaya Gök, G. (2020). Bounds on the Path Energy. Journal of New Theory(30), 64-68.
AMA Kaya Gök G. Bounds on the Path Energy. JNT. March 2020;(30):64-68.
Chicago Kaya Gök, Gülistan. “Bounds on the Path Energy”. Journal of New Theory, no. 30 (March 2020): 64-68.
EndNote Kaya Gök G (March 1, 2020) Bounds on the Path Energy. Journal of New Theory 30 64–68.
IEEE G. Kaya Gök, “Bounds on the Path Energy”, JNT, no. 30, pp. 64–68, March 2020.
ISNAD Kaya Gök, Gülistan. “Bounds on the Path Energy”. Journal of New Theory 30 (March 2020), 64-68.
JAMA 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, 2020, pp. 64-68.
Vancouver Kaya Gök G. Bounds on the Path Energy. JNT. 2020(30):64-8.


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