Displaying similar documents to “Finding shortest paths with computational geometry.”

A Linear Time Algorithm for Computing Longest Paths in Cactus Graphs

Markov, Minko, Ionut Andreica, Mugurel, Manev, Krassimir, Tapus, Nicolae (2012)

Serdica Journal of Computing

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ACM Computing Classification System (1998): G.2.2. We propose an algorithm that computes the length of a longest path in a cactus graph. Our algorithm can easily be modified to output a longest path as well or to solve the problem on cacti with edge or vertex weights. The algorithm works on rooted cacti and assigns to each vertex a two-number label, the first number being the desired parameter of the subcactus rooted at that vertex. The algorithm applies the divide-and-conquer...

Finding dominators in practice.

Georgiadis, Loukas, Tarjan, Robert E., Werneck, Renato F. (2006)

Journal of Graph Algorithms and Applications

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On-line models and algorithms for max independent set

Bruno Escoffier, Vangelis Th. Paschos (2006)

RAIRO - Operations Research

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In on-line computation, the instance of the problem dealt is not entirely known from the beginning of the solution process, but it is revealed step-by-step. In this paper we deal with on-line independent set. On-line models studied until now for this problem suppose that the input graph is initially empty and revealed either vertex-by-vertex, or cluster-by-cluster. Here we present a new on-line model quite different to the ones already studied. It assumes that a superset of the final...

The maximum capacity shortest path problem : generation of efficient solution sets

T. Brian Boffey, R. C. Williams, B. Pelegrín, P. Fernandez (2002)

RAIRO - Operations Research - Recherche Opérationnelle

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Individual items of flow in a telecommunications or a transportation network may need to be separated by a minimum distance or time, called a “headway”. If link dependent, such restrictions in general have the effect that the minimum time path for a “convoy” of items to travel from a given origin to a given destination will depend on the size of the convoy. The Quickest Path problem seeks a path to minimise this convoy travel time. A closely related bicriterion problem is the Maximum...

Efficient algorithms for minimal disjoint path problems on chordal graphs

C.P. Gopalakrishnan, C.R. Satyan, C. Pandu Rangan (1995)

Discussiones Mathematicae Graph Theory

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Disjoint paths have applications in establishing bottleneck-free communication between processors in a network. The problem of finding minimum delay disjoint paths in a network directly reduces to the problem of finding the minimal disjoint paths in the graph which models the network. Previous results for this problem on chordal graphs were an O(|V| |E|²) algorithm for 2 edge disjoint paths and an O(|V| |E|) algorithm for 2 vertex disjoint paths. In this paper, we give an O(|V| |E|)...

Multiple routing strategies in a labelled network

J. Maublanc, D. Peyrton, A. Quilliot (2001)

RAIRO - Operations Research - Recherche Opérationnelle

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We present here models and algorithms for the construction of efficient path systems, robust to possible variations of the characteristics of the network. We propose some interpretations of these models and proceed to numerical experimentations of the related algorithms. We conclude with a discussion of the way those concepts may be applied to the design of a Public Transportation System.