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- ==The DFS tree== ...cannot go any further, and, hence, produce relatively long paths. The DFS tree has a number of useful properties that allow efficient solutions to importa17 KB (2,930 words) - 00:28, 3 March 2012
- ...sing in Sleator and Tarjan's analysis of the performance of the [[link-cut tree]] data structure. ...-light decomposition'' of a tree <math>T=(V,E)</math> is a coloring of the tree's edges. Each edge is either ''heavy'' or ''light''. To determine which, co9 KB (1,665 words) - 12:40, 6 August 2015
- ...habet is general, and we do the same, then the time taken to walk down the tree will be <math>O(N \log |\Sigma|)</math> again; but this is no longer bounde12 KB (1,959 words) - 23:56, 23 November 2011
- ...elements are both important, it is advisable to use a [[Binary search tree|tree]].5 KB (905 words) - 02:16, 30 December 2011
- ...e eponymous tall, woody plants, as these are also connected and acyclic (a tree is in one piece, but its branches never form cycles). A collection of disjo ...aph, any two of these three statements, taken together, imply the third ([[Tree/Proof of properties of trees|proof]]):17 KB (2,906 words) - 03:22, 12 December 2011
- ...ces. There are many ways of implementing these, such as by [[binary search tree]]s, [[hash table]]s, or [[skip list]]s, but the language standard usually d ...rough. (This is the case, for example, with properly implemented immutable tree data structures in which the new version shares most of its nodes with the9 KB (1,544 words) - 02:06, 20 March 2011
- ...'''least common ancestor''' (LCA) of a nonempty set of nodes in a rooted [[tree]] is the unique node of greatest depth that is an ancestor of every node in ...thermore, the <math>\operatorname{LCA}(u,v)</math> is the only node in the tree for which this is true.11 KB (2,023 words) - 23:03, 5 April 2016
- ...time, which can be sped up to <math>O(V E \log V)</math> using [[link/cut tree]]s.3 KB (506 words) - 04:12, 9 September 2013