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degeneracy (673B)


      1 # Degeneracy
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      3 https://en.wikipedia.org/wiki/Degeneracy_(graph_theory)
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      5 An [undirected_graph] is k-degenerate if every [subgraph] has at least one [vertex] of [degree] at most k
      6 - it does not make a difference whether we define this via [subgraphs] or via [induced_subgraphs], cf https://en.wikipedia.org/wiki/Degeneracy_(graph_theory)#Examples
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      8 Special case: [2_degenerate_graphs]
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     10 Some [enumeration] and [counting] problems on graphs have been studied based on degeneracy and arboricity, see [danisch2018listing] for example
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     12 Generalization to [relational_databases]: [partition_constraints] introduced in [deeds2025partition]
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     14 Up: [width_measure]
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     16 See also: [arboricity]