2 papers
math.CO2010
Simple Euclidean arrangements with one (>=5)-gon
Jesus Leaños, Mbe Koua Christophe Ndjatchi, Luis Manuel Rivera-Martinez
Let L be a simple Euclidean arrangement of n pseudolines. It is shown that if L has exactly one (>=5)=gon P, and k is the number of edges of P that are adjacent to an unbounded cel…
math.CO2010
On the number of mth roots of permutations
Jesús Leaños, Rutilo Moreno, Luis Manuel Rivera-Martínez
Let m be a fixed positive integer. It is well-known that a permutation may have one, many, or no mth roots. In this note we provide an explicit expression and a generating func…