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The version given here is that proven by Nash-Williams; Kruskal's formulation is somewhat stronger. All trees we consider are finite. Given a tree T with a root, and given vertices v, w, call w a successor of v if the unique path from the root to w contains v, and call w an immediate successor of v if additionally the path from v to w contains no other vertex.
In algebraic combinatorics, the Kruskal–Katona theorem gives a complete characterization of the f-vectors of abstract simplicial complexes. It includes as a special case the Erdős–Ko–Rado theorem and can be restated in terms of uniform hypergraphs .
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Download QR code; Print/export Download as PDF; Printable version; In other projects ... Kneser's theorem (combinatorics) Kruskal–Katona theorem; L.
In combinatorics, he is known for Kruskal's tree theorem (1960), which is also interesting from a mathematical logic perspective since it can only be proved nonconstructively. Kruskal also applied his work in linguistics , in an experimental lexicostatistical study of Indo-European languages , together with the linguists Isidore Dyen and Paul ...
Download QR code; Print/export Download as PDF; Printable version; In other projects Wikidata item; Appearance. ... Kruskal's tree theorem; L. Large set (Ramsey ...
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Krull–Schmidt theorem (group theory) Kruskal's tree theorem (order theory) Kruskal–Katona theorem (combinatorics) Krylov–Bogolyubov theorem (dynamical systems) Kuhn's theorem (game theory) Kuiper's theorem (operator theory, topology) Künneth theorem (algebraic topology) Kurosh subgroup theorem (group theory) Kutta–Joukowski theorem