On the tree depth of random graphs

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Title:	On the tree depth of random graphs
Author:	Perarnau Llobet, Guillem; Serra Albó, Oriol
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV; Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
Abstract:	The tree-depth of a graph G is a parameter that plays a crucial role in the theory of bounded expansion classes and has been introduced under numerous names. We describe the asymptotic behaviour of this parameter in the case of dense and of sparse random graphs. The results also provide analogous descriptions for the tree-width of random graphs.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs -Random graphs -Graph theory -Mathematical models -Grafs, Teoria de -Models matemàtics
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Document type:	Article - Published version Conference Object
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