Bruno Benedetti

Assistant Professor

  • 101 Citations
20112019
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Research Output 2011 2019

  • 101 Citations
  • 16 Article
  • 1 Editorial
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Article
2019

Collapsibility of CAT(0) spaces

Adiprasito, K. & Benedetti, B., Jan 1 2019, (Accepted/In press) In : Geometriae Dedicata.

Research output: Contribution to journalArticle

Collapsibility
CAT(0)
CAT(0) Spaces
Triangulation
Metric Geometry
2017
1 Citation (Scopus)

Extremal Examples of Collapsible Complexes and Random Discrete Morse Theory

Adiprasito, K. A., Benedetti, B. & Lutz, F. H., Feb 17 2017, (Accepted/In press) In : Discrete and Computational Geometry. p. 1-30 30 p.

Research output: Contribution to journalArticle

Discrete Morse Theory
Barycentric Subdivision
Collapsibility
Face
Distinct

Mogami manifolds, nuclei, and 3D simplicial gravity

Benedetti, B., Jun 1 2017, In : Nuclear Physics B. 919, p. 541-559 19 p.

Research output: Contribution to journalArticle

tetrahedrons
balls
gravitation
nuclei
2 Citations (Scopus)

Regularity of line configurations

Benedetti, B., Di Marca, M. & Varbaro, M., Jan 1 2017, (Accepted/In press) In : Journal of Pure and Applied Algebra.

Research output: Contribution to journalArticle

Regularity
Configuration
Line
Arrangement
Castelnuovo-Mumford Regularity
3 Citations (Scopus)

Regulating Hartshorne’s connectedness theorem

Benedetti, B., Bolognese, B. & Varbaro, M., Feb 27 2017, (Accepted/In press) In : Journal of Algebraic Combinatorics. p. 1-18 18 p.

Research output: Contribution to journalArticle

Connectedness
Regularity
Theorem
Dual Graph
Curve
2016
7 Citations (Scopus)

Smoothing discrete Morse theory

Benedetti, B., 2016, In : Annali della Scuola normale superiore di Pisa - Classe di scienze. 16, 2, p. 335-368 34 p.

Research output: Contribution to journalArticle

Discrete Morse Theory
Smoothing
Triangulation
Morse Theory
Surveying
2 Citations (Scopus)

Subdivisions, shellability, and collapsibility of products

Adiprasito, K. A. & Benedetti, B., Jun 9 2016, (Accepted/In press) In : Combinatorica. p. 1-30 30 p.

Research output: Contribution to journalArticle

Collapsibility
Shellability
Triangulation
Subdivision
Gluing
2015
8 Citations (Scopus)

On the Dual Graphs of Cohen-Macaulay Algebras

Benedetti, B. & Varbaro, M., 2015, In : International Mathematics Research Notices. 2015, 17, p. 8085-8115 31 p.

Research output: Contribution to journalArticle

Dual Graph
Cohen-Macaulay
Arrangement
Algebra
Simplicial Complex
3 Citations (Scopus)

Tight complexes in 3-space admit perfect discrete Morse functions

Adiprasito, K. & Benedetti, B., Apr 1 2015, In : European Journal of Combinatorics. 45, p. 71-84 14 p.

Research output: Contribution to journalArticle

Morse Function
Ball
Tightness
Generalise
Arbitrary
2014
19 Citations (Scopus)

Random discrete morse theory and a new library of triangulations

Benedetti, B. & Lutz, F. H., Jan 2 2014, In : Experimental Mathematics. 23, 1, p. 66-94 29 p.

Research output: Contribution to journalArticle

Discrete Morse Theory
Triangulation
Computational Topology
Morse Function
Quantify
9 Citations (Scopus)

The hirsch conjecture holds for normal flag complexes

Adiprasito, K. A. & Benedetti, B., Nov 1 2014, In : Mathematics of Operations Research. 39, 4, p. 1340-1348 9 p.

Research output: Contribution to journalArticle

Geometry
Metric Geometry
Simplicial Complex
Ridge
Polytopes
2013
9 Citations (Scopus)

Knots in collapsible and non-collapsible balls

Benedetti, B. & Lutz, F. H., Aug 30 2013, In : Electronic Journal of Combinatorics. 20, 3

Research output: Contribution to journalArticle

Trefoil
Triangulation
Knot
Ball
Constructible
2012
17 Citations (Scopus)

Discrete Morse theory for manifolds with boundary

Benedetti, B., 2012, In : Transactions of the American Mathematical Society. 364, 12, p. 6631-6670 40 p.

Research output: Contribution to journalArticle

Discrete Morse Theory
Manifolds with Boundary
Morse Function
Ball
Facet
2011
14 Citations (Scopus)

On locally constructible spheres and balls

Benedetti, B. & Ziegler, G. M., Jun 2011, In : Acta Mathematica. 206, 2, p. 205-243 39 p.

Research output: Contribution to journalArticle

Constructible
Ball
Facet
Collapsibility
Shellability
4 Citations (Scopus)

Unmixed graphs that are domains

Benedetti, B. & Varbaro, M., Jul 2011, In : Communications in Algebra. 39, 7, p. 2260-2267 8 p.

Research output: Contribution to journalArticle

Graph in graph theory
Bipartite Graph
Cover
Algebra
Arbitrary
1800
3 Citations (Scopus)

Collapses, products and LC manifolds

Benedetti, B., 1800, (Accepted/In press) In : Journal of Combinatorial Theory, Series A.

Research output: Contribution to journalArticle

Constructible
Facet