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We conduct an extensive computational study of shortest paths algorithms , including some very recent algorithms. We also suggest new algorithms motivated by the experimental results and prove interesting theoretical results suggested by the experimental data. Our computational study is based on several natural problem classes which identify strengths and… (More)

We prove a tight @(min(nm log(nC), nmz)) bound on the number of iterations of the minimum-mean cycle canceling algorithm of Goldberg and Tarjan [13]. We do this by giving the lower bound and by improving the strongly polynomial upper bound on the number of iterations to 0(nrn2). We also give an improved version of the maximum-mean cut canceling algorithm of… (More)

We consider the task of network exploration by a mobile agent (robot) with small memory. The agent has to traverse all nodes and edges of a network (represented as an undirected connected graph), and return to the starting node. Nodes of the network are unlabeled and edge ports are locally labeled at each node. The agent has no a priori knowledge of the… (More)

Radio networks model wireless data communication when the bandwidth is limited to one wave frequency. The key restriction of such networks is mutual interference of packets arriving simultaneously at a node. The many-to-many (m2m) communication primitive involves p participant nodes from among n nodes in the network, where the distance between any pair of… (More)

We consider a fixed, undirected, known network and a number of " mobile agents " which can traverse the network in synchronized steps. Some nodes in the network may be faulty and the agents are to find the faults and repair them. The agents could be software agents, if the underlying network represents a computer network, or robots, if the underlying… (More)

The problem of minimizing capacity violation is a variation of the transshipment problem. It is equivalent to the problem of computing maximum mean surplus cuts which arises in the dual approach to the minimum cost network circulation problem. McCormick and Ervolina [15] proposed an algorithm which computes a sequence of cuts with increasing mean surpluses,… (More)

We describe an implementation of dynamic trees with "in-subtree" operations. Our implementation follows Sleator and Tarjan's framework of dynamic-tree implementations based on splay trees. We consider the following two examples of "in-subtree" operations. (a) For a given node v, find a node with the minimum key in the subtree rooted at v. (b) For a given… (More)