On degree based topological indices of bridge graphs

Abdul Jalil M. Khalaf; Muhammad Farhan Hanif; Muhammad Kamran Siddiqui; Mohammad Reza Farahani

doi:10.1080/09720529.2020.1822040

On degree based topological indices of bridge graphs

Abdul Jalil M. Khalaf
, Muhammad Farhan Hanif
, Muhammad Kamran Siddiqui^*
, Mohammad Reza Farahani

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

In 2009, T. Mansour, M. Schork, introduce the concept of bridge graphs. A bridge graph B(G ₁, G ₂, …, G_m) = B(G ₁, G ₂, …, G_m; v ₁, v ₂, …, v_m) of (Figure presented.) with respect to the vertices (Figure presented.) is the graph obtained from the graphs G ₁; G ₂; …; G_m by connecting the vertices v_i and v_i+1 by an edge for all I = 1; 2; …; m-1. In this paper, we determine hyper-Zagreb index, first multiple Zagreb index, second multiple Zagreb index, Zagreb polynomials and M-polynomial for nano structures of bridge graphs.

Original language	English
Pages (from-to)	1139-1156
Number of pages	18
Journal	Journal of Discrete Mathematical Sciences and Cryptography
Volume	23
Issue number	6
DOIs	https://doi.org/10.1080/09720529.2020.1822040
State	Published - 17 Aug 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020 Taru Publications.

Keywords

First multiple Zagreb index
Hyper-Zagreb index
M-polynomial
Nano structures of bridge graphs
Primary 05C25
Second multiple Zagreb index
Zagreb polynomials

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

Access to Document

10.1080/09720529.2020.1822040

Cite this

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title = "On degree based topological indices of bridge graphs",

abstract = "In 2009, T. Mansour, M. Schork, introduce the concept of bridge graphs. A bridge graph B(G 1, G 2, …, Gm) = B(G 1, G 2, …, Gm; v 1, v 2, …, vm) of (Figure presented.) with respect to the vertices (Figure presented.) is the graph obtained from the graphs G 1; G 2; …; Gm by connecting the vertices vi and vi+1 by an edge for all I = 1; 2; …; m-1. In this paper, we determine hyper-Zagreb index, first multiple Zagreb index, second multiple Zagreb index, Zagreb polynomials and M-polynomial for nano structures of bridge graphs.",

keywords = "First multiple Zagreb index, Hyper-Zagreb index, M-polynomial, Nano structures of bridge graphs, Primary 05C25, Second multiple Zagreb index, Zagreb polynomials",

author = "Khalaf, \{Abdul Jalil M.\} and Hanif, \{Muhammad Farhan\} and Siddiqui, \{Muhammad Kamran\} and Farahani, \{Mohammad Reza\}",

note = "Publisher Copyright: {\textcopyright} 2020 Taru Publications.",

year = "2020",

month = aug,

day = "17",

doi = "10.1080/09720529.2020.1822040",

language = "English",

volume = "23",

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journal = "Journal of Discrete Mathematical Sciences and Cryptography",

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AU - Khalaf, Abdul Jalil M.

AU - Hanif, Muhammad Farhan

AU - Siddiqui, Muhammad Kamran

AU - Farahani, Mohammad Reza

PY - 2020/8/17

Y1 - 2020/8/17

N2 - In 2009, T. Mansour, M. Schork, introduce the concept of bridge graphs. A bridge graph B(G 1, G 2, …, Gm) = B(G 1, G 2, …, Gm; v 1, v 2, …, vm) of (Figure presented.) with respect to the vertices (Figure presented.) is the graph obtained from the graphs G 1; G 2; …; Gm by connecting the vertices vi and vi+1 by an edge for all I = 1; 2; …; m-1. In this paper, we determine hyper-Zagreb index, first multiple Zagreb index, second multiple Zagreb index, Zagreb polynomials and M-polynomial for nano structures of bridge graphs.

AB - In 2009, T. Mansour, M. Schork, introduce the concept of bridge graphs. A bridge graph B(G 1, G 2, …, Gm) = B(G 1, G 2, …, Gm; v 1, v 2, …, vm) of (Figure presented.) with respect to the vertices (Figure presented.) is the graph obtained from the graphs G 1; G 2; …; Gm by connecting the vertices vi and vi+1 by an edge for all I = 1; 2; …; m-1. In this paper, we determine hyper-Zagreb index, first multiple Zagreb index, second multiple Zagreb index, Zagreb polynomials and M-polynomial for nano structures of bridge graphs.

KW - First multiple Zagreb index

KW - Hyper-Zagreb index

KW - M-polynomial

KW - Nano structures of bridge graphs

KW - Primary 05C25

KW - Second multiple Zagreb index

KW - Zagreb polynomials

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IS - 6

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On degree based topological indices of bridge graphs

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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