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
Topics referred to by the same term
This disambiguation page lists articles associated with the title Infinite tree. If an internal link led you here, you may wish to change the link to point directly to the intended article.
Infinitetree may refer to: Tree (data structure), a data structure simulating a single-rooted, directed hierarchy (due to the requirement of computer-implementability...
as breadth-first search, can also be used to traverse infinitetrees, see below. Traversing a tree involves iterating over all nodes in some manner. Because...
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...
node. The root is the starting node. But the converse is not true: infinitetree structures may or may not have a root node. The names of relationships...
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...
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...
listing all spanning trees in polynomial time per tree. Every finite connected graph has a spanning tree. However, for infinite connected graphs, the...
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...
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...
without knowing the child branches contents. Infinite-tree automata extend top-down automata to infinitetrees, and can be used to prove decidability of...
78 (1991) Zielonka, W (1998). "Infinite Games on Finitely Coloured Graphs with Applications to Automata on InfiniteTrees". Theor. Comput. Sci. 200 (1–2):...
multiplication algorithm suitable for hand calculation Bethe lattice, a regular infinitetree structure used in statistical mechanics Bravais lattice, a repetitive...
4-regular infinitetree. It is a key ingredient in the proof of the Banach–Tarski paradox. More generally, the Bethe lattice or Cayley tree is the Cayley...
group of its Cayley graph; the free group is the symmetry group of an infinitetree graph. Cayley's theorem states that any abstract group is a subgroup...
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...