Zagreb Eccentricity Indices of the Generalized Hierarchical Product Graphs and Their Applications
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Let G be a connected graph.
The first and second Zagreb eccentricity indices of G are defined as M1*(G)=∑v∈V(G)εG2(v) and M2*(G)=∑uv∈E(G)εG(u)εG(v), where εG(v) is the eccentricity of the vertex v in G and εG2(v)=(εG(v))2.
Suppose that G(U)⊓H(∅≠U⊆V(G)) is the generalized hierarchical product of two connected graphs G and H.
In this paper, the Zagreb eccentricity indices M1* and M2* of G(U)⊓H are computed.
Moreover, we present explicit formulas for the M1* and M2* of S-sum graph, Cartesian, cluster, and corona product graphs by means of some invariants of the factors.
American Psychological Association (APA)
Luo, Zhaoyang& Wu, Jianliang. 2014. Zagreb Eccentricity Indices of the Generalized Hierarchical Product Graphs and Their Applications. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-456655
Modern Language Association (MLA)
Luo, Zhaoyang& Wu, Jianliang. Zagreb Eccentricity Indices of the Generalized Hierarchical Product Graphs and Their Applications. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-456655
American Medical Association (AMA)
Luo, Zhaoyang& Wu, Jianliang. Zagreb Eccentricity Indices of the Generalized Hierarchical Product Graphs and Their Applications. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-456655
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456655