Title
Network Reliability In Hamiltonian Graphs
Abstract
The reliability polynomial of a graph gives the probability that a graph remains operational when all its edges could fail independently with a certain fixed probability. In general, the problem of finding uniformly most reliable graphs inside a family of graphs, that is, one graph whose reliability is at least as large as any other graph inside the family, is very difficult. In this paper, we study this problem in the family of graphs containing a hamiltonian cycle. (C) 2021 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.disopt.2021.100645
DISCRETE OPTIMIZATION
Keywords
DocType
Volume
Network reliability, Network design, Reliability polynomial, Hamiltonian graph
Journal
41
ISSN
Citations 
PageRank 
1572-5286
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Llagostera Pol100.34
Nacho López2439.42
Comas Carles300.34