On the protected nodes in exponential recursive trees

On the protected nodes in exponential recursive trees

The exponential recursive trees model several kinds of networks. At each step of growing of these trees, each node independently attracts a new node with probability p, or fails to do with probability 1 − p. Here, we investigate the number of protected nodes, total path length of protected nodes, an...

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Veröffentlicht in:Discrete mathematics and theoretical computer science 2023-01, Vol.25:2 (Combinatorics), p.1-16
Hauptverfasser: Javanian, Mehri, Aguech, Rafik
Format: Artikel
Sprache:eng
Schlagworte:
[math]mathematics [math]
[stat]statistics [stat]
Mathematics
Nodes
Statistics
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Zusammenfassung:The exponential recursive trees model several kinds of networks. At each step of growing of these trees, each node independently attracts a new node with probability p, or fails to do with probability 1 − p. Here, we investigate the number of protected nodes, total path length of protected nodes, and a mean study of the protected node profile of such trees.
ISSN:1365-8050
1462-7264
1365-8050
DOI:10.46298/dmtcs.10524