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2-trees.

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1 results

The triangles method to build X-treesfrom incomplete distance matrices
Alain Guénoche, Bruno Leclerc
Journal:

RAIRO - Operations Research / Volume 35 / Issue 2 / April 2001

Published online by Cambridge University Press:

15 August 2002, pp. 283-300

Print publication:

April 2001
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A method to infer X-trees (valued trees having X as set of leaves) from incomplete distance arrays (where some entries are uncertain or unknown) is described. It allows us to build an unrooted tree using only 2n-3 distance values between the n elements of X, if they fulfill some explicit conditions. This construction is based on the mapping between X-tree and a weighted generalized 2-tree spanning X.