Tree Graphs and Orthogonal Spanning Tree Decompositions

Given a graph G, we construct T(G), called the tree graph of G. The vertices of T(G) are the spanning trees of G, with edges between vertices when their respective spanning trees differ only by a single edge. In this paper we detail many new results concerning tree graphs, involving topics such as c...

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Bibliographic Details
Main Author: Mahoney, James Raymond
Format: Others
Published: PDXScholar 2016
Subjects:
Online Access:http://pdxscholar.library.pdx.edu/open_access_etds/2944
http://pdxscholar.library.pdx.edu/cgi/viewcontent.cgi?article=3953&context=open_access_etds