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Infinite tree information


Infinite tree may refer to:

  • Tree (data structure), a data structure simulating a single-rooted, directed hierarchy (due to the requirement of computer-implementability, only rational trees rather than arbitrary infinite trees are admitted)
  • Tree (graph theory), a connected undirected graph without simple cycles
  • Tree (set theory), a generalization of a well-ordered set, also admitting many-rooted trees

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Infinite tree

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Infinite tree may refer to: Tree (data structure), a data structure simulating a single-rooted, directed hierarchy (due to the requirement of computer-implementability...

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Tree traversal

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as breadth-first search, can also be used to traverse infinite trees, see below. Traversing a tree involves iterating over all nodes in some manner. Because...

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Infinite set

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then its union is infinite. The power set of an infinite set is infinite. Any superset of an infinite set is infinite. If an infinite set is partitioned...

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Tree structure

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node. The root is the starting node. But the converse is not true: infinite tree structures may or may not have a root node. The names of relationships...

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Halo Infinite

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Halo Infinite is a 2021 first-person shooter game developed by 343 Industries and published by Xbox Game Studios. It is the sixth mainline installment...

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Automata theory

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words. Infinite input: An automaton that accepts infinite words (ω-words). Such automata are called ω-automata. Tree input: The input may be a tree of symbols...

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Spanning tree

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listing all spanning trees in polynomial time per tree. Every finite connected graph has a spanning tree. However, for infinite connected graphs, the...

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Corecursion

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binary tree can be finite or infinite. label :: Tree a b -> Tree Int Int label t = tn where (tn, ns) = go t (1:ns) go :: Tree a b -> [Int] -> (Tree Int Int...

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Cantor tree surface

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Cantor tree is an infinite-genus surface homeomorphic to a sphere with a Cantor set removed. The blooming Cantor tree is a Cantor tree with an infinite number...

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Tree automaton

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without knowing the child branches contents. Infinite-tree automata extend top-down automata to infinite trees, and can be used to prove decidability of...

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Parity game

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78 (1991) Zielonka, W (1998). "Infinite Games on Finitely Coloured Graphs with Applications to Automata on Infinite Trees". Theor. Comput. Sci. 200 (1–2):...

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Lattice

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multiplication algorithm suitable for hand calculation Bethe lattice, a regular infinite tree structure used in statistical mechanics Bravais lattice, a repetitive...

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Cayley graph

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4-regular infinite tree. It is a key ingredient in the proof of the Banach–Tarski paradox. More generally, the Bethe lattice or Cayley tree is the Cayley...

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Symmetry group

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group of its Cayley graph; the free group is the symmetry group of an infinite tree graph. Cayley's theorem states that any abstract group is a subgroup...

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Kurepa tree

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Kurepa tree with fewer than 2ℵ1 branches is known as a Jech–Kunen tree. More generally if κ is an infinite cardinal, then a κ-Kurepa tree is a tree of height...

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