121 citations
- Centre National de la Recherche ScientifiqueFR36 papers
- Laboratoire de Mathématiques Blaise PascalFR17 papers
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- Université Lille Nord de FranceFR6 papers
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- Laboratoire Paul PainlevéFR3 papers
4 papers · 2 filters
The Schur degree of additive sets
Shalom Eliahou, Pastora Revuelta
Let (G, +) be an abelian group. A subset of G is sumfree if it contains no elements x, y, z such that x +y = z. We extend this concept by introducing the Schur degree of a subset o…
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…
Generalized dendrifom algebras and typed binary trees
Loic Foissy
We here both unify and generalize nonassociative structures on typed binary trees, that is to say plane binary trees which edges are decorated by elements of a set . We prove th…
Counting walks by their last erased self-avoiding polygons using sieves
P. -L. Giscard
Let be an infinite, vertex-transitive lattice with degree and fix a vertex on it. Consider all cycles of length exactly from this vertex to itself on . Erasing loops…