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 - [tree_undirected]
     28 
     29 ## [Algorithms] on [trees]
     30 
     31 - [tree_traversal]
     32 - [prefix_order], [postfix_order], [infix_order]
     33 - [lowest_common_ancestor_problem]
     34 
     35 ## Advanced concepts
     36 
     37 - [strahler_number]
     38 
     39 ## Special cases
     40 
     41 - [tree_even] and [tree_odd]
     42 - [graceful_tree]
     43 
     44 ## Applications to other fields
     45 
     46 - [tree_applications]
     47 - [xml], [xpath]
     48 
     49 ## [Data_structures]
     50 
     51 - [tree_balancing]
     52   - [splay_tree]
     53   - [top_tree]
     54 - [level_ancestor]
     55 
     56 ## Related notions and application cases in [TCS]
     57 
     58 - [heap]
     59 - [binary_search_tree]
     60 - [tree_automaton]
     61 - [range_tree]
     62 - [tree_decomposition]
     63 - [universal_tree]
     64 
     65 ## Decomposition of trees
     66 
     67 - [centroid_decomposition]
     68 - [heavy_light_path_decomposition]
     69 
     70 ## [Generalizations]
     71 
     72 - [polytree]
     73 - [multitree]
     74 - [out_tree] as a [directed_graph]
     75 - [tree_weighted]
     76 
     77 Up: [data_structure]
     78 
     79 See also: [treewidth], [forest], [top_down], [bottom_up]
     80 
     81 Aliases: trees