50 citations · 96 across the 18 of their papers we have counts for
19 papers
A memorial tribute: Adriano Garsia (1928--2024)
Hélène Barcelo, François Bergeron, Nantel Bergeron +15
Adriano Mario Garsia was born in Tunis on August 20, 1928, to a Tunisian-Italian family. He lived on a farm there until the end of World War II, then moved to Rome. After finishing…
Topological aspects of Boolean functions
Anders Björner, Mark Goresky, Robert MacPherson
We discuss ways in which tools from topology can be used to derive lower bounds for the circuit complexity of Boolean functions.
On Codimension one Embedding of Simplicial Complexes
Anders Björner, Afshin Goodarzi
We study -dimensional simplicial complexes that are PL embeddable in . It is shown that such a complex must satisfy a certain homological condition. The existe…
Face numbers of sequentially Cohen-Macaulay complexes and Betti numbers of componentwise linear ideals
Karim A. Adiprasito, Anders Björner, Afshin Goodarzi
A numerical characterization is given of the so-called h-triangles of sequentially Cohen-Macaulay simplicial complexes. This result characterizes the number of faces of various dim…
Using Brouwer's fixed point theorem
Anders Björner, Jiří Matoušek, Günter M. Ziegler
Brouwer's fixed point theorem from 1911 is a basic result in topology - with a wealth of combinatorial and geometric consequences. In these lecture notes we present some of them, r…
Filtered geometric lattices and Lefschetz Section Theorems over the tropical semiring
Karim Alexander Adiprasito, Anders Björner
The purpose of this paper is to establish analogues of the classical Lefschetz Section Theorem for smooth tropical varieties. More precisely, we prove tropical analogues of the sec…