Graphs with degree constraints
Autor: | de Panafieu, Élie, Ramos, Lander |
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Rok vydání: | 2015 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | Given a set D of nonnegative integers, we derive the asymptotic number of graphs with a givenvnumber of vertices, edges, and such that the degree of every vertex is in D. This generalizes existing results, such as the enumeration of graphs with a given minimum degree, and establishes new ones, such as the enumeration of Euler graphs, i.e. where all vertices have an even degree. Those results are derived using analytic combinatorics. Comment: 10 pages, 7 pages of appendix, 1 figure |
Databáze: | arXiv |
Externí odkaz: |