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shortest path problem

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  • Shortest path problem — A graph with 6 vertices and 7 edges In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. An example is… …   Wikipedia

  • Longest path problem — In graph theory, the longest path problem is a problem of finding the longest path in a graph. Unlike the shortest path problem, this problem is NP complete which means that the optimal solution cannot be found in polynomial time unless P=NP.The… …   Wikipedia

  • Shortest path tree — A shortest path tree, in graph theory, is a subgraph of a given (possibly weighted) graph constructed so that the distance between a selected root node and all other nodes is minimal. It is a tree because if there are two paths between the root… …   Wikipedia

  • Shortest-Path — Unter einem kürzesten Pfad versteht man in der Graphentheorie einen Pfad zwischen zwei Knoten u und v, welcher minimale Länge hat. Haben die Kanten im Graphen alle das gleiche Kantengewicht, so ist der kürzeste Pfad äquivalent zu dem Pfad mit den …   Deutsch Wikipedia

  • Shortest Path — Unter einem kürzesten Pfad versteht man in der Graphentheorie einen Pfad zwischen zwei Knoten u und v, welcher minimale Länge hat. Haben die Kanten im Graphen alle das gleiche Kantengewicht, so ist der kürzeste Pfad äquivalent zu dem Pfad mit den …   Deutsch Wikipedia

  • All pairs shortest path — Finding all pairs shortest path consists of finding the shortest distance between every pair of nodes in a possibly directed graph. Various means of doing so are known, and the following list gives a few of the common methods: *Floyd Warshall… …   Wikipedia

  • Open Shortest Path First — (OSPF) is an adaptive routing protocol for Internet Protocol (IP) networks. It uses a link state routing algorithm and falls into the group of interior routing protocols, operating within a single autonomous system (AS). It is defined as OSPF… …   Wikipedia

  • Euclidean shortest path — This problem is studied in computational geometry: given a set of polyhedral obstacles in a Euclidean space, having a total of n vertices;design algorithms for efficient (exact or approximate) calculation of a shortest, obstacle avoiding path… …   Wikipedia

  • Multicast Open Shortest Path First — MOSPF (Multicast open shortest path first) ist die Multicast Erweiterung zu OSPF (open shortest path first). MOSPF ermöglicht das Multicast Routing innerhalb einer OSPF Domain. Hierbei ist aber besonderes Augenmerk auf die Tatsache zu legen, dass …   Deutsch Wikipedia

  • Path (graph theory) — In graph theory, a path in a graph is a sequence of vertices such that from each of its vertices there is an edge to the next vertex in the sequence. The first vertex is called the start vertex and the last vertex is called the end vertex . Both… …   Wikipedia

  • Canadian traveller problem — In computer science and graph theory, the Canadian traveller problem is a generalization of the shortest path problem to graphs where the cost of traversing an edge isn t completely known until reaching it. The problem was introduced by… …   Wikipedia

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