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Shortest path problem

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.

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Overview

Definition

Algorithms

Single-source shortest paths

Applications

Related problems

General algebraic framework on semirings: the algebraic path problem

Shortest path in stochastic time-dependent networks

Restricted shortest path

Advanced semantic analysis

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Map overview Semantic statistics

Shortest path problem

Nodes60
Edges59
Triples88
Avg. degree1.97
Density0.033333
Components1

How this topic connects Entity context

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Shortest path problem

Top relations

related to Further reading · 33
Shortest path problem → ACM-SIAM Symp, Altıntaş, Amazon Digital Services LLC, An Appraisal, Annu, Archived, Atlanta, Cite, CiteSeerX, Discrete Algorithms, Dreyfus, DTIC AD-661265, Exact Solutions, Frigioni, Fully, GA, Gökhan, In Connection, ISBN, Labyrinths
related to Restricted shortest path · 15
Shortest path problem → FPTAS, Garey, Hassin, It, Johnson, Lorenz, ND30, NP-hard, Raz, RSP, Several, Shortest, The, The Restricted Shortest Path, We
related to Paths with constraints · 11
Shortest path problem → Another NP-complete, Constrained Shortest Path First, NP, NP-complete, One, The, The TSP, This, Traveling Salesman Problem, TSP, Unlike
related to Algorithms · 8
Shortest path problem → Bellman, Dijkstra's, Floyd, Ford, Johnson's, Several, Viterbi, Warshall
has application · 4
Shortest path problem → In, Network, Shortest Path Problems, The
related to Definition · 4
Shortest path problem → Directed, Such, The, Two
related to Related problems · 4
Shortest path problem → Euclidean, For, Reptation, The
related to All-pairs shortest paths · 3
Shortest path problem → Shimbel, The, V4
is a · 1
Shortest path problem → problem of finding a path between two vertices
related to Directed acyclic graphs · 1
Shortest path problem → An

Important terminology Word statistics

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Important terminology

path shortest problem graph edge algorithm vertices find time graphs algorithms edges directed network two paths road problems minimum may

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Shortest path problemis aproblem of finding a path between two vertices0.90text
the amount of trafficinstance ofThe travel duration on a road segment depends on many factors0.80text
dynamic programminginstance ofthey find the probability distribution of total travel duration using different optimization methods0.80text
Dijkstra's algorithminstance ofthey find the probability distribution of total travel duration using different optimization methods0.80text
Shortest path problemhas applicationNetwork0.60section
Shortest path problemhas applicationThe0.60section
Shortest path problemhas applicationShortest Path Problems0.60section
Shortest path problemhas applicationIn0.60section
Shortest path problemrelated to AlgorithmsSeveral0.60section
Shortest path problemrelated to AlgorithmsDijkstra's0.60section
Shortest path problemrelated to AlgorithmsBellman0.60section
Shortest path problemrelated to AlgorithmsFord0.60section

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