Chinese postman problem

GPTKB entity

Statements (28)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs Route inspection problem
gptkbp:appliesTo directed graphs
undirected graphs
mixed graphs
gptkbp:category mathematical optimization
graph traversal
gptkbp:complexity NP-hard (for mixed graphs)
polynomial time (for undirected and directed graphs)
gptkbp:describes finding a shortest closed path or circuit that visits every edge of a graph
gptkbp:field combinatorial optimization
graph theory
gptkbp:firstPublished 1962
gptkbp:generalizes Eulerian path problem
https://www.w3.org/2000/01/rdf-schema#label Chinese postman problem
gptkbp:namedAfter Meigu Guan
gptkbp:relatedTo gptkb:traveling_salesman_problem
gptkb:Eulerian_circuit
gptkbp:solutionExistsIf all vertices have even degree (for undirected graphs)
gptkbp:solvedBy adding duplicate edges to make all degrees even
matching odd degree vertices
gptkbp:supportsAlgorithm Blossom algorithm
Edmonds' matching algorithm
gptkbp:usedIn postal delivery
street sweeping
garbage collection routing
gptkbp:bfsParent gptkb:traveling_salesman_problem
gptkbp:bfsLayer 6