Network Similarity Measure and Ediz Eccentric Connectivity Index
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Network similarity measures have proven essential in the field of network analysis.
Also, topological indices have been used to quantify the topology of networks and have been well studied.
In this paper, we employ a new topological index which we call the Ediz eccentric connectivity index.
We use this quantity to define network similarity measures as well.
First, we determine the extremal value of the Ediz eccentric connectivity index on some network classes.
Second, we compare the network similarity measure based on the Ediz eccentric connectivity index with other well-known topological indices such as Wiener index, graph energy, Randić index, the largest eigenvalue, the largest Laplacian eigenvalue, and connectivity eccentric index.
Numerical results underpin the usefulness of the chosen measures.
They show that our new measure outperforms all others, except the one based on Wiener index.
This means that the measure based on Wiener index is still the best, but the new one has certain advantage to some extent.
American Psychological Association (APA)
Yu, Guihai& Chen, Xinzhuang. 2020. Network Similarity Measure and Ediz Eccentric Connectivity Index. Complexity،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1141080
Modern Language Association (MLA)
Yu, Guihai& Chen, Xinzhuang. Network Similarity Measure and Ediz Eccentric Connectivity Index. Complexity No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1141080
American Medical Association (AMA)
Yu, Guihai& Chen, Xinzhuang. Network Similarity Measure and Ediz Eccentric Connectivity Index. Complexity. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1141080
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141080