Nash-Williams–Tutte theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs Tutte–Nash-Williams theorem
gptkbp:appliesTo finite undirected graphs
gptkbp:concerns edge-disjoint spanning trees
gptkbp:field graph theory
https://www.w3.org/2000/01/rdf-schema#label Nash-Williams–Tutte theorem
gptkbp:namedAfter gptkb:Crispin_Nash-Williams
gptkb:William_Thomas_Tutte
gptkbp:publishedIn 1959
gptkbp:relatedTo matroid theory
spanning tree
graph connectivity
gptkbp:state A finite undirected graph has k edge-disjoint spanning trees if and only if for every partition of the vertex set into t nonempty subsets, there are at least k(t-1) edges between the subsets.
gptkbp:bfsParent gptkb:Nash-Williams_theorem
gptkbp:bfsLayer 8