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arxiv: 1709.03865 · v1 · pith:SDBSLP3Ynew · submitted 2017-09-12 · 🧮 math.CO

S-trees

classification 🧮 math.CO
keywords s-treestreeadjacencyallowsbasisdepthdetailfind
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In this paper two new graph operations are introduced, and with them the S-trees are studied in depth. This allows to find \(\{-1,0,1\}\)-basis for all the fundamental subspaces of the adjacency matrix of any tree, and to understand in detail the matching structure of any tree.

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