Geodesic
Homology of Deleted Products of Contractible 2-Dimensional Polyhedra. I
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 416-441

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If X is a space and , the kth deleted product space Xk * of X is the topological product X ⨯ X ⨯ . . . ⨯ X of copies of X minus the set of all points of the form (x, x, . . . , x), where x ∊ X. In (4), the author shows that the homology groups of Xk *, where X is a tree, produce as much information about trees as counting the orders of vertices. 
Patty, C. W. Homology of Deleted Products of Contractible 2-Dimensional Polyhedra. I. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 416-441. doi: 10.4153/CJM-1968-039-3
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