Email this article ROBUST ALGEBRAIC CONNECTIVITY
- Authors: Kuruzov I.A.1,2, Rogozin A.V.1, Chezhegov S.A.1, Kupavskii A.B.1
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Affiliations:
- Moscow Institute of Physics and Technology
- Institute for Information Transmission Problems of the RAS (Kharkevich Institute)
- Issue: No 6 (2023)
- Pages: 49-59
- Section: DATA ANALYSIS
- URL: https://journals.rcsi.science/0132-3474/article/view/148119
- DOI: https://doi.org/10.31857/S0132347423060067
- EDN: https://elibrary.ru/FWLNGZ
- ID: 148119
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Abstract
The second smallest eigenvalue of a graph Laplacian is known as algebraic connectivity of the graph. This value shows how much this graph is connected. But this metric does not take into attention possible changes in graph. Note, that deletion of even one node or edge can lead the graph to be disconnected. This work is devoted to development of a metric that should describe robustness of the graph to such changes. All proposed metrics are based on algebraic connectivity. Besides, we provide generalization of some famous optimization methods for our robust modifications of algebraic connectivity. Moreover, this work contains some numerical experiments demonstrated efficiency of proposed approaches.
About the authors
I. A. Kuruzov
Moscow Institute of Physics and Technology; Institute for Information Transmission Problems of the RAS (Kharkevich Institute)
Author for correspondence.
Email: kuruzov.ia@phystech.edu
Russia, 141701, Moscow region, Dolgoprudny, Institutskiy per., 9; Russia, 127051, Moscow, Bolshoi Karetny lane, 19, build. 1
A. V. Rogozin
Moscow Institute of Physics and Technology
Author for correspondence.
Email: aleksandr.rogozin@phystech.edu
Russia, 141701, Moscow region, Dolgoprudny, Institutskiy per., 9
S. A. Chezhegov
Moscow Institute of Physics and Technology
Author for correspondence.
Email: chezhegov.sa@phystech.edu
Russia, 141701, Moscow region, Dolgoprudny, Institutskiy per., 9
A. B. Kupavskii
Author for correspondence.
Email: kypavskii@yandex.ru
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