On k-total distance degrees and k-total Wiener polarity index

被引：18

作者：

Ediz, Suleyman ^{[1
]}

Ciftci, Idris ^{[1
]}

Cancan, Murat ^{[1
]}

Farahani, Mohammad Reza ^{[2
]}

机构：

[1] Van Yuzuncu Yil Univ, Fac Educ, Dept Math Educ, TR-65080 Van, Turkey

[2] Iran Univ Sci & Technol IUST, Dept Math, Tehran 16844, Iran

来源：

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES | 2021年 / 42卷 / 07期

关键词：

k-total distance degree; Wiener polarity index; k-total Wiener polarity index; ZERO DIVISOR GRAPH; ZAGREB INDEXES; MATRICES;

D O I：

10.1080/02522667.2021.1896652

中图分类号：

G25 [图书馆学、图书馆事业]; G35 [情报学、情报工作];

学科分类号：

1205 ; 120501 ;

摘要：

This study investigates the relationship between classical degree and recently defined k-distance degree, ve-degree and ev-degree concepts in graph theory. We firstly define the k-total distance degree notion and investigate its relation with Zagreb and Wiener polarity indices. One of the main relation is W-3*(T) = 1/2 M-1 (T) + W-p (T) where W-3* (T), M-1 (T) and W-p(T) denotes 3-total Wiener polarity index, the first Zagreb index and Wiener polarity index, respectively for any tree T.

引用

页码：1469 / 1477

页数：9

共 26 条

[1] On the left zero divisor graph of 3 x 3 matrices over Z2 [J].

Afzal, Farkhanda ;

Sherwani, Faiza Khan ;

Afzal, Deeba ;

Chaudhry, Faryal .

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2020, 41 (04) :1043-1060

[2] On Wiener index and Wiener polarity index of some polyomino chains [J].

Ahmad, Sarfraz ;

Siddiqui, Hafiz Muhammad Afzal ;

Ali, Arfan ;

Farahani, Mohammad R. ;

Imran, Muhammad ;

Cangul, Ismail Naci .

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2019, 22 (07) :1151-1164

[3] A Novel/Old Modification of the First Zagreb Index [J].

Ali, Akbar ;

Trinajstic, Nenad .

MOLECULAR INFORMATICS, 2018, 37 (6-7)

[4] On the generalized Wiener polarity index for some classes of graphs [J].

Bielak, Halina ;

Dabrowska, Kinga ;

Wolska, Katarzyna .

PROCEEDINGS OF THE 2015 FEDERATED CONFERENCE ON COMPUTER SCIENCE AND INFORMATION SYSTEMS, 2015, 5 :483-487

[5] On ve-degrees and ev-degrees in graphs [J].

Chellali, Mustapha ;

Haynes, Teresa W. ;

Hedetniemi, Stephen T. ;

Lewis, Thomas M. .

DISCRETE MATHEMATICS, 2017, 340 (02) :31-38

[6] Alkanes with the First Three Maximal/Minimal Modified First Zagreb Connection Indices [J].

Du, Zhibin ;

Ali, Akbar ;

Trinajstic, Nenad .

MOLECULAR INFORMATICS, 2019, 38 (04)

[7] Some points regarding the edge-distance-balanced property of the generalized Petersen graphs GP(n, 2) [J].

Ezadi, Mahboubeh ;

Alaeiyan, Mehdi .

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2020, 41 (04) :1141-1151

[8] Computing harmonic indices of series benzenoid Hk and hydrocarbons PAHk by use of cut method [J].

Faraji, Umm Kulthum ;

Alaeian, Mehdi ;

Golriz, Maryam ;

Gilani, Alireza .

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2019, 22 (07) :1249-1259

[9] On Narumi-Katayama indices of molecular graphs and its modified version [J].

Farkoush, I. Goli ;

Alaeiyan, M. ;

Maghasedi, M. .

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2019, 22 (07) :1189-1197

[10] GRAPH THEORY AND MOLECULAR-ORBITALS - TOTAL PI-ELECTRON ENERGY OF ALTERNANT HYDROCARBONS [J].

GUTMAN, I ;

TRINAJSTIC, N .

CHEMICAL PHYSICS LETTERS, 1972, 17 (04) :535-538

← 1 2 3 →