Geodesic
On the minimal packing of a tree with fixed vertices
Diskretnaya Matematika, Tome 9 (1997) no. 1, pp. 147-152
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The problem of minimal packing of a tree onto a segment is considered. It is known that for trees with unfixed vertices it can be solved in polynomial time. Here it is established that this problem is NP-complete if some vertices of a tree are fixed. 
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     author = {E. E. Egorov},
     title = {On the minimal packing of a tree with fixed vertices},
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E. E. Egorov. On the minimal packing of a tree with fixed vertices. Diskretnaya Matematika, Tome 9 (1997) no. 1, pp. 147-152. http://geodesic.mathdoc.fr/item/DM_1997_9_1_a11/