Independent Trees in Planar Graphs Independent trees |
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| Authors: | Andreas Huck |
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| Institution: | Institute of Mathematics, University of Hannover, Welfengarten 1, 30167 Hannover, Germany. e-mail: huck@math.uni-hannover.de, DE
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| Abstract: | We prove the following statement: Let G be a finite k-connected undirected planar graph and s be a vertex of G. Then there exist k spanning trees T1,
,Tk in G such that for each vertex xps of G, the k paths from x to s in T1,
,Tk are pairwise openly disjoint. |
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