Graphs with degree constraints

Autor: de Panafieu, Élie, Ramos, Lander
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