# The triangles method to build $X$-trees from incomplete distance matrices

RAIRO - Operations Research - Recherche Opérationnelle (2001)

- Volume: 35, Issue: 2, page 283-300
- ISSN: 0399-0559

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topGuénoche, Alain, and Leclerc, Bruno. "The triangles method to build $X$-trees from incomplete distance matrices." RAIRO - Operations Research - Recherche Opérationnelle 35.2 (2001): 283-300. <http://eudml.org/doc/105247>.

@article{Guénoche2001,

abstract = {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 2$n$-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 $X$.},

author = {Guénoche, Alain, Leclerc, Bruno},

journal = {RAIRO - Operations Research - Recherche Opérationnelle},

keywords = {X-tree; partial distances; 2-trees; valued trees; distance arrays; twotree; spanning tree},

language = {eng},

number = {2},

pages = {283-300},

publisher = {EDP-Sciences},

title = {The triangles method to build $X$-trees from incomplete distance matrices},

url = {http://eudml.org/doc/105247},

volume = {35},

year = {2001},

}

TY - JOUR

AU - Guénoche, Alain

AU - Leclerc, Bruno

TI - The triangles method to build $X$-trees from incomplete distance matrices

JO - RAIRO - Operations Research - Recherche Opérationnelle

PY - 2001

PB - EDP-Sciences

VL - 35

IS - 2

SP - 283

EP - 300

AB - 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 2$n$-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 $X$.

LA - eng

KW - X-tree; partial distances; 2-trees; valued trees; distance arrays; twotree; spanning tree

UR - http://eudml.org/doc/105247

ER -

## References

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