Distance Measurements Related to Cartesian Product of Cycles
Joint Authors
Chu, Yu-Ming
Nazeer, Saima
Qiang, Xiaoli
Umar, Muhammad Awais
Kousar, Imrana
Sehar, Ammara
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-23
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Graph theory and its wide applications in natural sciences and social sciences open a new era of research.
Making the graph of computer networks and analyzing it with aid of graph theory are extensively studied and researched in the literature.
An important discussion is based on distance between two nodes in a network which may include closeness of objects, centrality of objects, average path length between objects, and vertex eccentricity.
For example, (1) disease transmission networks: closeness and centrality of objects are used to measure vulnerability to particular disease and its infectivity; (2) routing networks: eccentricity of objects is used to find vertices which form the periphery objects of the network.
In this manuscript, we have discussed distance measurements including center, periphery, and average eccentricity for the Cartesian product of two cycles.
The results are obtained using the definitions of eccentricity, radius, and diameter of a graph, and all possible cases (for different parity of length of cycles) have been proved.
American Psychological Association (APA)
Qiang, Xiaoli& Nazeer, Saima& Chu, Yu-Ming& Umar, Muhammad Awais& Kousar, Imrana& Sehar, Ammara. 2020. Distance Measurements Related to Cartesian Product of Cycles. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1188102
Modern Language Association (MLA)
Qiang, Xiaoli…[et al.]. Distance Measurements Related to Cartesian Product of Cycles. Journal of Mathematics No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1188102
American Medical Association (AMA)
Qiang, Xiaoli& Nazeer, Saima& Chu, Yu-Ming& Umar, Muhammad Awais& Kousar, Imrana& Sehar, Ammara. Distance Measurements Related to Cartesian Product of Cycles. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1188102
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188102