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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) …
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 …