wiki_research

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      1 # Graph
      2 
      3 [graph_definition]
      4 
      5 ## Basic notions
      6 
      7 See [graph_basic_notions]
      8 
      9 ## Advanced notions
     10 
     11 - [graph_minor]
     12   - [robertson_seymour]
     13 
     14 ## Types
     15 
     16 - [graph_undirected] or [graph_directed]
     17 - [graph_weighted]
     18   - [graph_weighted_regimes]: question of how weights are encoded
     19     - e.g., [unary] or [binary]
     20 - [multigraph]
     21 
     22 ## [Graph_tractability]
     23 
     24 - [width_measure]
     25 - [graph_decomposition]
     26 
     27 ## [theorems]
     28 
     29 - [graph_theorem]
     30 
     31 ## Results
     32 
     33 - [handshaking_lemma], consequence of [degree_sum_formula]
     34 - [graph_removal_lemma]
     35 
     36 ## [graph_algorithm]
     37 
     38 - [floyd_warshall]
     39 - [bellman_ford]
     40 - [dijkstras_algorithm]
     41 
     42 ## [graph_family]
     43 
     44 See [graph_family]
     45 
     46 ## [graph_problem]
     47 
     48 See [graph_problem]
     49 
     50 ## Fields
     51 
     52 - [graph_theory]
     53   - [pursuit_evasion]
     54   - [extremal_graph_theory]
     55   - [games_on_graphs]
     56 
     57 ## Constructions
     58 
     59 - [cayley_graph]
     60 - [line_graph]
     61 - [dual_graph]
     62 - [incidence_graph]
     63 - [graph_complementation]
     64 
     65 ## [graph_operations]
     66 
     67 - [graph_union]
     68 - [graph_product]
     69 - [edge_contraction]
     70 
     71 ## Software
     72 
     73 [graph_software]
     74 
     75 ## Problems
     76 
     77 - [minimum_linear_arrangement]
     78 - [graph_sandwich_problem]
     79 - [planarity_testing]
     80 
     81 ## Graph representations
     82 
     83 - [adjacency_list]
     84 - [adjacency_matrix]
     85 
     86 ## Generalizations
     87 
     88 - [hypergraph]
     89 - [multigraph]
     90 
     91 See also: [graph_database], [graph_theory], [graph_query_languages],  [game_on_graph]
     92 
     93 Up: [data_structure], [computer_science]
     94 
     95 Aliases: graphs