Roy-Floyd-Warshall algorithm

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:algorithm
graph
shortest path algorithm
gptkbp:alsoKnownAs gptkb:Floyd-Warshall_algorithm
gptkbp:canBe negative edge weights
gptkbp:cannotHandle negative cycles
gptkbp:category dynamic programming
gptkbp:complexity O(n^3)
gptkbp:firstPublished 1962
https://www.w3.org/2000/01/rdf-schema#label Roy-Floyd-Warshall algorithm
gptkbp:input weighted directed graph
gptkbp:namedAfter gptkb:Robert_Floyd
gptkb:Stephen_Warshall
Bernard Roy
gptkbp:output shortest paths between all pairs of vertices
gptkbp:relatedTo gptkb:Dijkstra's_algorithm
gptkb:Bellman-Ford_algorithm
gptkbp:solvedBy all-pairs shortest path problem
gptkbp:spaceComplexity O(n^2)
gptkbp:usedFor transitive closure
finding reachability in graphs
gptkbp:bfsParent gptkb:Floyd-Warshall_Algorithm
gptkbp:bfsLayer 7