Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Scaling Algorithms for the Shortest Paths Problem
SIAM Journal on Computing
Data structures for weighted matching and nearest common ancestors with linking
SODA '90 Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms
Certifying algorithms for recognizing interval graphs and permutation graphs
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
All Pairs Shortest Paths in Undirected Graphs with Integer Weights
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Implementation of algorithms for maximum matching on nonbipartite graphs.
Implementation of algorithms for maximum matching on nonbipartite graphs.
Does Your Result Checker Really Check?
DSN '04 Proceedings of the 2004 International Conference on Dependable Systems and Networks
A scaling algorithm for weighted matching on general graphs
SFCS '85 Proceedings of the 26th Annual Symposium on Foundations of Computer Science
Shortest Path Algorithms: Engineering Aspects
ISAAC '01 Proceedings of the 12th International Symposium on Algorithms and Computation
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In this paper, we explore the design of algorithms for the problem of checking whether an undirected graph contains a negative cost cycle (UNCCD). It is known that this problem is significantly harder than the corresponding problem in directed graphs. Current approaches for solving this problem involve reducing it to either the b -matching problem or the T -join problem. The latter approach is more efficient in that it runs in O (n 3) time on a graph with n vertices and m edges, while the former runs in O (n 6) time. This paper shows that instances of the UNCCD problem, in which edge weights are restricted to be in the range { *** K ··K } can be solved in O (n 2.75·logn ) time. Our algorithm is basically a variation of the T -join approach, which exploits the existence of extremely efficient shortest path algorithms in graphs with integral positive weights. We also provide an implementation profile of the algorithms discussed.