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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 .
Kruskal's algorithm [1] finds a minimum spanning forest of an undirected edge-weighted graph. If the graph is connected , it finds a minimum spanning tree . It is a greedy algorithm that in each step adds to the forest the lowest-weight edge that will not form a cycle . [ 2 ]
Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. Help ... Kruskal–Katona theorem; L. Labelled enumeration theorem;
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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
How the Male Pufferfish Attracts a Mate. In the world of animals, it can be hard to be a male looking for a mate. Some animals, such as lions, need beautiful, full manes to attract females.Others ...
The booming U.S. stock market will help keep the dollar expensive as global investors pour money into America, a foreign exchange strategist said. But the politics of any trade deals that the ...