Araştırma Makalesi

General Atom-Bond-Connectivity Index Of Graphs

Cilt: 18 Sayı: 1 25 Mart 2022
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General Atom-Bond-Connectivity Index Of Graphs

Öz

The Atom-bond-connectivity index ABC of a graph G is determined by d_i and d_j. In this paper, sharp results for the general ABC index which has chemical applications are found using different methods. These new results for ABC inex are investigated in terms of its edges, its vertices and its degrees. In particular, some relations for general ABC index is obtained involving different topological indices; Randic index, Zagreb index, Harmonic index and Narumi-Katayama index. Indeed, general ABC index are improved by the help of the maximum annd minimum degrees.

Anahtar Kelimeler

Kaynakça

  1. Ahmadi, M.B., Dimitrov, D., Gutman, I., Hosseini, S.A., Disproving a conjecture on trees with minimal atom-bond connectivity index, MATCH Commun. Math. Comput. Chem. 72, 685-698, 2014.
  2. Randi´c, M., On characterization of molecular branching, J. Amer. Chem. Soc. 97, 6609-6615, 1975.
  3. Bapat, R.B., Graphs and Matrices, Indian Statistical Institute, New Delhi 110016,India, 2010.
  4. Bianchi, M., Cornaro, A., Palacios, J.L., Torriero, A., New upper bounds for the ABC index, MATCH Commun. Math. Comput. Chem. 76, 117-130, 2016.
  5. Borovi´canin, B., Furtula, B., On extremal Zagreb indices of trees with given domination number, Appl. Math. Comput. 279, 208-218, 2016.
  6. Büyükköse, S., Altınk, E., Yalçın, F., Improved Bounds for the Extremal Non-trivial Laplacian Eigenvalues, Gazi University Journal of Science, 28, (1), 65-68, 2015.
  7. Das, K.C., Atom-bond connectivity index of graphs, Discr. Appl. Math. 158, 1181-1188, 2010.
  8. Das, K.C., On comparing Zagreb indices of graphs, MATCH Commun. Math. Comput. Chem. 63, 433-440, 2010.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

25 Mart 2022

Gönderilme Tarihi

28 Temmuz 2021

Kabul Tarihi

20 Ocak 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 18 Sayı: 1

Kaynak Göster

APA
Kınacı, S. (2022). General Atom-Bond-Connectivity Index Of Graphs. Celal Bayar University Journal of Science, 18(1), 91-94. https://doi.org/10.18466/cbayarfbe.975636
AMA
1.Kınacı S. General Atom-Bond-Connectivity Index Of Graphs. Celal Bayar University Journal of Science. 2022;18(1):91-94. doi:10.18466/cbayarfbe.975636
Chicago
Kınacı, Seda. 2022. “General Atom-Bond-Connectivity Index Of Graphs”. Celal Bayar University Journal of Science 18 (1): 91-94. https://doi.org/10.18466/cbayarfbe.975636.
EndNote
Kınacı S (01 Mart 2022) General Atom-Bond-Connectivity Index Of Graphs. Celal Bayar University Journal of Science 18 1 91–94.
IEEE
[1]S. Kınacı, “General Atom-Bond-Connectivity Index Of Graphs”, Celal Bayar University Journal of Science, c. 18, sy 1, ss. 91–94, Mar. 2022, doi: 10.18466/cbayarfbe.975636.
ISNAD
Kınacı, Seda. “General Atom-Bond-Connectivity Index Of Graphs”. Celal Bayar University Journal of Science 18/1 (01 Mart 2022): 91-94. https://doi.org/10.18466/cbayarfbe.975636.
JAMA
1.Kınacı S. General Atom-Bond-Connectivity Index Of Graphs. Celal Bayar University Journal of Science. 2022;18:91–94.
MLA
Kınacı, Seda. “General Atom-Bond-Connectivity Index Of Graphs”. Celal Bayar University Journal of Science, c. 18, sy 1, Mart 2022, ss. 91-94, doi:10.18466/cbayarfbe.975636.
Vancouver
1.Seda Kınacı. General Atom-Bond-Connectivity Index Of Graphs. Celal Bayar University Journal of Science. 01 Mart 2022;18(1):91-4. doi:10.18466/cbayarfbe.975636