On the number of non-isomorphic matroids |
| |
Authors: | Manoel Lemos |
| |
Affiliation: | Departamento de Matemática, Universidade Federal de Pernambuco, Cidade Universitária, Recife, Pernambuco, 50740-540, Brazil |
| |
Abstract: | Let f(n) denote the number of non-isomorphic matroids on an n-element set. In 1969, Welsh conjectured that, for all non-negative integers m and n, f(m+n)f(m)f(n). In this paper, we prove this conjecture. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|