AbstractThe number of alternating permutations with specified peak set is calculated. A recent result of J. Rosen (J. Comb. Theory, Ser. A 20 (1976), 377) on the tangent numbers is shown to be a simple consequence of this calculation. Furthermore, the companion result for the secant numbers is proved
AbstractIt is well known that the (−1)-evaluation of the enumerator polynomials of permutations (res...
International audienceInitiated by Davis, Nelson, Petersen and Tenner (2018), the enumerative study ...
AbstractWe enumerate the alternating sign matrices that contain exactly one −1 according to their nu...
AbstractThe number of alternating permutations with specified peak set is calculated. A recent resul...
AbstractA classical result of Euler states that the tangent numbers are an alternating sum of Euleri...
International audienceA classical result of Euler states that the tangent numbers are an alternating...
Permutations as combinatorial objects will be the basis for this paper. Two of their most basic attr...
AbstractA permutation is called parity alternating if its entries assume even and odd integers alter...
AbstractWe extend Stanley's work on alternating permutations with extremal number of fixed points in...
AbstractThe presentation of alternating permutatioas via labelled binary trees is used to define pol...
19 pagesInternational audienceAndré proved that the number of alternating permutations on $\{1, 2, \...
AbstractA formula for the number alternating Baxter permutations is given. The proof of this formula...
The cardinalities of the sets of even and odd permutations with a given ascent number are investigat...
This paper is a continuation of the systematic study of the distribution of quadrant marked mesh pat...
19 pages; add a new resultInternational audienceIt is well known that the $(-1)$-evaluation of the e...
AbstractIt is well known that the (−1)-evaluation of the enumerator polynomials of permutations (res...
International audienceInitiated by Davis, Nelson, Petersen and Tenner (2018), the enumerative study ...
AbstractWe enumerate the alternating sign matrices that contain exactly one −1 according to their nu...
AbstractThe number of alternating permutations with specified peak set is calculated. A recent resul...
AbstractA classical result of Euler states that the tangent numbers are an alternating sum of Euleri...
International audienceA classical result of Euler states that the tangent numbers are an alternating...
Permutations as combinatorial objects will be the basis for this paper. Two of their most basic attr...
AbstractA permutation is called parity alternating if its entries assume even and odd integers alter...
AbstractWe extend Stanley's work on alternating permutations with extremal number of fixed points in...
AbstractThe presentation of alternating permutatioas via labelled binary trees is used to define pol...
19 pagesInternational audienceAndré proved that the number of alternating permutations on $\{1, 2, \...
AbstractA formula for the number alternating Baxter permutations is given. The proof of this formula...
The cardinalities of the sets of even and odd permutations with a given ascent number are investigat...
This paper is a continuation of the systematic study of the distribution of quadrant marked mesh pat...
19 pages; add a new resultInternational audienceIt is well known that the $(-1)$-evaluation of the e...
AbstractIt is well known that the (−1)-evaluation of the enumerator polynomials of permutations (res...
International audienceInitiated by Davis, Nelson, Petersen and Tenner (2018), the enumerative study ...
AbstractWe enumerate the alternating sign matrices that contain exactly one −1 according to their nu...