wiki_research

personal research wiki
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      1 # Tree
      2 
      3 ## Basic concepts
      4 
      5 - [node]
      6 - [leaf]
      7 - [internal_node]
      8 - [ancestor]
      9 - [root]
     10 - [forest]
     11 - [parent]
     12 - [child]
     13 - [height]
     14 - [tree_unranked]
     15 - [tree_ranked]
     16 - [tree_ordered]
     17 - [tree_binary]
     18 - [tree_complete]
     19 - [tree_binary_full]
     20 - [tree_rooted]
     21 - [tree_unrooted]
     22 - [tree_balanced]
     23 - [path]
     24 - [downward_path]
     25 - [tree_labeled]
     26 - [lowest_common_ancestor]
     27 
     28 ## [Algorithms] on [trees]
     29 
     30 - [tree_traversal]
     31 - [prefix_order], [postfix_order], [infix_order]
     32 - [lowest_common_ancestor_problem]
     33 
     34 ## Advanced concepts
     35 
     36 - [strahler_number]
     37 
     38 ## Special cases
     39 
     40 - [tree_even] and [tree_odd]
     41 - [graceful_tree]
     42 
     43 ## Applications to other fields
     44 
     45 - [tree_applications]
     46 - [xml], [xpath]
     47 
     48 ## [Data_structures]
     49 
     50 - [tree_balancing]
     51   - [splay_tree]
     52   - [top_tree]
     53 - [level_ancestor]
     54 
     55 ## Related notions and application cases in [TCS]
     56 
     57 - [heap]
     58 - [binary_search_tree]
     59 - [tree_automaton]
     60 - [range_tree]
     61 - [tree_decomposition]
     62 - [universal_tree]
     63 
     64 ## Decomposition of trees
     65 
     66 - [centroid_decomposition]
     67 - [heavy_light_path_decomposition]
     68 
     69 ## [Generalizations]
     70 
     71 - [polytree]
     72 - [multitree]
     73 - [out_tree] as a [directed_graph]
     74 - [tree_weighted]
     75 
     76 Up: [data_structure]
     77 
     78 See also: [treewidth], [forest], [top_down], [bottom_up]
     79 
     80 Aliases: trees