Shortest Path Problem

GPTKB entity

Statements (33)
Predicate Object
gptkbp:instanceOf graph
gptkbp:application gptkb:transportation
logistics
robotics
network routing
gptkbp:canHaveNegativeWeights yes (with Bellman-Ford)
gptkbp:cannotHaveNegativeCycles true
gptkbp:complexity varies by algorithm
gptkbp:field gptkb:mathematics
computer science
operations research
gptkbp:firstDescribed 1950s
https://www.w3.org/2000/01/rdf-schema#label Shortest Path Problem
gptkbp:input weighted graph
destination node
source node
gptkbp:notableContributor gptkb:Edsger_W._Dijkstra
gptkbp:output shortest path
path length
gptkbp:relatedTo gptkb:Minimum_Spanning_Tree
gptkb:Traveling_Salesman_Problem
Network Flow Problem
gptkbp:solvedBy gptkb:Dijkstra's_algorithm
gptkb:Bellman-Ford_algorithm
gptkb:Floyd-Warshall_algorithm
gptkb:A*_algorithm
gptkbp:variant single-source shortest path
all-pairs shortest path
constrained shortest path problem
k-shortest paths problem
single-destination shortest path
gptkbp:bfsParent gptkb:Graph_Algorithms
gptkbp:bfsLayer 6