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A tree is a connected graph without cycles, with a finite or infinite number of vertices. There are many variants of trees, according to further constraints or decorations.

3 votes
2 answers
859 views

Partitioning a binary tree into vertex-disjoint subtrees

Say we have a labeled, binary unrooted tree $T$, i.e. each node has either 1 or 3 neighbors. Denote by $L(T)$ the set of leaves (degree-one nodes) of $T$. For some $L \subseteq L(T)$, denote by $t(L) …
Manuel Lafond's user avatar
3 votes
Accepted

Inferring tree graph from distance matrix

The following greedy algorithm should reconstruct the tree corresponding to a given distance matrix $M$, assuming it exists. Beforehand, one must show that $T$, if it exists, is unique, but unless yo …
Manuel Lafond's user avatar