22 citations · 122 across the 24 of their papers we have counts for
13 papers · 1 filter
The Buchweitz set of a numerical semigroup
S. Eliahou, J. I. García-García, D. Marín-Aragón +1
Let be a finite subset. We denote by the set of all integers such that , where denotes the…
On numerical semigroups with at most 12 left elements
Shalom Eliahou, Daniel Marín-Aragón
For a numerical semigroup S N with embedding dimension e, conductor c and left part L = S [0, c -- 1], set W (S) = e|L| -- c. In 1978 Wilf asked, in equivalent t…
An adaptive upper bound on the Ramsey numbers
Shalom Eliahou
Since 2002, the best known upper bound on the Ramsey numbers R n (3) = R(3,. .. , 3) is R n (3) n!(e -- 1/6) + 1 for all n 4. It is based on the current estimate R 4 (3…
A graph-theoretic approach to Wilf's conjecture
Shalom Eliahou
Let S N be a numerical semigroup with multiplicity m = min(S \ {0}) and conductor c = max(N \ S) + 1. Let P be the set of primitive elements of S, and let L be the set…
Some Results On The Flynn-Poonen-Schaefer Conjecture
Shalom Eliahou, Youssef Fares
For , consider the quadratic polynomial map . Flynn, Poonen and Schaefer conjectured in 1997 that no rational cycle of under iteration has len…
Gapsets and numerical semigroups
Shalom Eliahou, Jean Fromentin
For g 0, let n g denote the number of numerical semi-groups of genus g. A conjecture by Maria Bras-Amorós in 2008 states that the inequality n g n g--1 + n g--2 should…