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Definition: Trees and Forests

Let \(G(V,E,\gamma)\) be an undirected graph.

| | | | | created: 2014-02-20 21:55:52 | modified: 2017-01-19 10:26:20 | by: bookofproofs | references: [570]

1.Proposition: Equivalent Definitions of Trees

2.Definition: Root, Degree of a Tree, Subtree, Height

3.Lemma: Lower Bound of Leaves in a Tree

4.Lemma: Relationship between Tree Degree, Tree Height and the Number of Leaves in a Tree

5.Definition: Spanning Tree

6.Definition: Graph Decomposable Into \(k\) Trees

Edit or AddNotationAxiomatic Method

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Bibliography (further reading)

[570] Krumke S. O., Noltemeier H.: “Graphentheoretische Konzepte und Algorithmen”, Teubner, 2005, Auflage 1