degeneracy (673B)
1 # Degeneracy 2 3 https://en.wikipedia.org/wiki/Degeneracy_(graph_theory) 4 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 7 8 Special case: [2_degenerate_graphs] 9 10 Some [enumeration] and [counting] problems on graphs have been studied based on degeneracy and arboricity, see [danisch2018listing] for example 11 12 Generalization to [relational_databases]: [partition_constraints] introduced in [deeds2025partition] 13 14 Up: [width_measure] 15 16 See also: [arboricity]