- PII
- 10.31857/S0132347423060067-1
- DOI
- 10.31857/S0132347423060067
- Publication type
- Status
- Published
- Authors
- Volume/ Edition
- Volume / Issue number 6
- Pages
- 49-59
- 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.
- Keywords
- Date of publication
- 01.11.2023
- Year of publication
- 2023
- Number of purchasers
- 0
- Views
- 74
References
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