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About: Tree-depth     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatGraphInvariants, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:Abstraction100002137yago:Cognition100023271yago:Concept105835747yago:Content105809192yago:Feature105849789yago:Idea105833840yago:Invariant105850432yago:Property105849040yago:PsychologicalFeature100023100yago:WikicatGraphInvariants New Facet based on Instances of this Class

In graph theory, the tree-depth of a connected undirected graph is a numerical invariant of , the minimum height of a Trémaux tree for a supergraph of . This invariant and its close relatives have gone under many different names in the literature, including vertex ranking number, ordered chromatic number, and minimum elimination tree height; it is also closely related to the cycle rank of directed graphs and the star height of regular languages. Intuitively, where the treewidth of a graph measures how far it is from being a tree, this parameter measures how far a graph is from being a star.