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Trees, Ends, and Transience

In: Harmonic Analysis and Discrete Potential Theory

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  • Carsten Thomassen

    (Technical University of Denmark, Mathematical Institute)

Abstract

Many proofs in graph theory use (spanning) trees which preserve a certain property of the graph. We discuss some recent results on spanning trees with the same shape (more precisely, the same end structure) as the graph and on transient subtrees. A general sufficient condition, in terms of isoperimetric inequalities, for a transient subtree is presented.

Suggested Citation

  • Carsten Thomassen, 1992. "Trees, Ends, and Transience," Springer Books, in: Massimo A. Picardello (ed.), Harmonic Analysis and Discrete Potential Theory, pages 259-266, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-2323-3_21
    DOI: 10.1007/978-1-4899-2323-3_21
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