Complete Characterization of Resistance Distance for Linear Octagonal Networks
Joint Authors
Liu, Jia-Bao
Zafari, Ali
Zhao, Jing
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Computing the resistance distance of a network is a fundamental and classical topic.
In the aspects of considering the resistances between any two points of the lattice networks, there are many studies associated with the ladder networks and ladderlike networks.
But the resistances between any two points for more complex structures than ladder networks or ladderlike networks are still unknown.
In this paper, a rather complicated structure which is named linear octagonal network is considered.
Treelike octagonal systems are cata-condensed systems of octagons, which represent a class of polycyclic conjugated hydrocarbons.
A linear octagonal network is a cata-condensed octagonal system with no branchings.
Moreover, the resistances between any two points of a linear octagonal network are first determined.
One finds that the effective resistances between new inserted points and others points of a linear octagonal network can be given by the effective resistances between two initial points which are inherited from the linear polyomino network.
American Psychological Association (APA)
Zhao, Jing& Liu, Jia-Bao& Zafari, Ali. 2020. Complete Characterization of Resistance Distance for Linear Octagonal Networks. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142629
Modern Language Association (MLA)
Zhao, Jing…[et al.]. Complete Characterization of Resistance Distance for Linear Octagonal Networks. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1142629
American Medical Association (AMA)
Zhao, Jing& Liu, Jia-Bao& Zafari, Ali. Complete Characterization of Resistance Distance for Linear Octagonal Networks. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142629
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142629