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arxiv: 1012.2478 · v2 · pith:5XF2UTIYnew · submitted 2010-12-11 · 🧮 math.CO

Packing spanning trees and the k-tree protocol

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keywords graphsspanningmaximumprotocoltreescomputconnectivitydescription
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We provide a structural description of, and invariants for, maximum spanning tree-packable graphs, i.e. those graphs G for which the edge connectivity of G is equal to the maximum number of edge-disjoint spanning trees in G. These graphs are of interest for the k-tree protocol of Itai and Rodeh [Inform. and Comput. 79 (1988), 43-59].

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