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The weight of the shortest path tree
Random Structures & Algorithms, 2006AbstractThe minimal weight of the shortest path tree in a complete graph with independent and exponential (mean 1) random link weights is shown to converge to a Gaussian distribution. We prove a conditional central limit theorem and show that the condition holds with probability converging to 1. © 2006 Wiley Periodicals, Inc. Random Struct.
Remco van der Hofstad +2 more
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2008
Shortest path problems are fundamental network optimization problems arising in many contexts and having a wide range of applications, including dynamic programming, project management, knapsack problems, routing in data networks, and transportation problems.
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Shortest path problems are fundamental network optimization problems arising in many contexts and having a wide range of applications, including dynamic programming, project management, knapsack problems, routing in data networks, and transportation problems.
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Shortest Path Geometric Rounding
Algorithmica, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Shortest Paths in Probabilistic Graphs
Operations Research, 1969This paper considers the problem of finding shortest-path probability distributions in graphs whose branches are weighted with random lengths, examines the consequences of various assumptions concerning the nature of the available statistical information, and gives an exact method for computing the probability distribution, as well as methods based on
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Finding Top-k Shortest Paths with Diversity
IEEE Transactions on Knowledge and Data Engineering, 2018Huiping Liu, Bin Yang, Bin Yang
exaly
Improved algorithms for the k simple shortest paths and the replacement paths problems
Information Processing Letters, 2009Moshe Lewenstein
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Undirected single-source shortest paths with positive integer weights in linear time
Journal of the ACM, 1999Mikkel Thorup
exaly
Finding the k reliable shortest paths under travel time uncertainty
Transportation Research Part B: Methodological, 2016Qingquan Li +2 more
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Finding the K shortest paths in a schedule-based transit network
Computers and Operations Research, 2012Ato Xu, Sohail Chaudhry
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