- of a
permutation σ is an
element i such that σ(j) < σ(i) for all j < i.
Foata's fundamental bijection transforms a
permutation σ with a
given canonical...
-
Dominique Foata (born
October 12, 1934) is a
mathematician who
works in
enumerative combinatorics. With
Pierre Cartier and Marcel-Paul Schützenberger...
- died in
Marcoussis on 17
August 2024, at the age of 92. Cartier, Pierre;
Foata,
Dominique (14
November 2006). Problèmes
combinatoires de
commutation et...
- from MMT. In 1969,
Cartier and
Foata found a new
proof of MMT by
combining algebraic and
bijective ideas (built on
Foata's thesis) and
further applications...
- some
cancers Théorie géométrique des polynômes eulériens, with
Dominique Foata, Berlin, Heidelberg, New York,
Springer (1970)/Geometric
theory of Euler...
-
While the
trace monoid had been
studied by
Pierre Cartier and
Dominique Foata for its
combinatorics in the 1960s,
trace theory was
first formulated by...
-
monoid of traces.
Traces were
introduced by
Pierre Cartier and
Dominique Foata in 1969 to give a
combinatorial proof of Mac****n's
master theorem. Traces...
- From the 1980s, with the work of X. G. Viennot, J. Labelle, Y.-N. Yeh, D.
Foata, and others,
combinatorial interpretations were
found for all the classical...
- }
Stanley proves this fact
using generating functions while Foata and
Zeilberger provide a
direct combinatorial proof. Plutarch's dialogue...
- (6): 488–497. doi:10.1080/00150517.1978.12430271. Desarmenien, Jacques;
Foata,
Dominique (1992). "The
signed Eulerian numbers".
Discrete Math. 99 (1–3):...
