Herbert Edelsbrunner

About Herbert Edelsbrunner

Herbert Edelsbrunner, With an exceptional h-index of 93 and a recent h-index of 45 (since 2020), a distinguished researcher at Institute of Science and Technology Austria, specializes in the field of computational geometry, computational topology, algorithms.

His recent articles reflect a diverse array of research interests and contributions to the field:

Dynamically Maintaining the Persistent Homology of Time Series

The Depth Poset of a Filtered Lefschetz Complex

Order-2 Delaunay Triangulations Optimize Angles

Maximum Betti numbers of\v {C} ech complexes

On angles in higher order brillouin tessellations and related tilings in the plane

Geometric characterization of the persistence of 1D maps

Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives

A simple algorithm for higher-order Delaunay mosaics and alpha shapes

Herbert Edelsbrunner Information

University

Position

Professor of Mathematics

Citations(all)

48646

Citations(since 2020)

12428

Cited By

41469

hIndex(all)

93

hIndex(since 2020)

45

i10Index(all)

247

i10Index(since 2020)

123

Email

University Profile Page

Google Scholar

Herbert Edelsbrunner Skills & Research Interests

computational geometry

computational topology

algorithms

Top articles of Herbert Edelsbrunner

Dynamically Maintaining the Persistent Homology of Time Series

2024

Herbert Edelsbrunner
Herbert Edelsbrunner

H-Index: 46

Monika Henzinger
Monika Henzinger

H-Index: 40

The Depth Poset of a Filtered Lefschetz Complex

arXiv preprint arXiv:2311.14364

2023/11/24

Herbert Edelsbrunner
Herbert Edelsbrunner

H-Index: 46

Marian Mrozek
Marian Mrozek

H-Index: 14

Order-2 Delaunay Triangulations Optimize Angles

arXiv preprint arXiv:2310.18238

2023/10/27

Maximum Betti numbers of\v {C} ech complexes

arXiv preprint arXiv:2310.14801

2023/10/23

Herbert Edelsbrunner
Herbert Edelsbrunner

H-Index: 46

On angles in higher order brillouin tessellations and related tilings in the plane

Discrete & Computational Geometry

2023/9/7

Geometric characterization of the persistence of 1D maps

Journal of Applied and Computational Topology

2023/6/17

Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives

Journal of Chemical Information and Modeling

2023/1/13

Patrice Koehl
Patrice Koehl

H-Index: 23

Herbert Edelsbrunner
Herbert Edelsbrunner

H-Index: 46

A simple algorithm for higher-order Delaunay mosaics and alpha shapes

Algorithmica

2023/1

Herbert Edelsbrunner
Herbert Edelsbrunner

H-Index: 46

Topological data analysis of high dimensional probability landscapes of biochemical reaction networks using persistent homology

Biophysical Journal

2022/2/11

Computational topology: an introduction

2006

Depth in arrangements: Dehn–Sommerville–Euler relations with applications

Leibniz International Proceedings on Mathematics

2022

A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs

LIPIcs

2022

Flips in two-dimensional hypertriangulations

arXiv preprint arXiv:2212.11380

2022/12/21

Persistent homology of chromatic alpha complexes

arXiv preprint arXiv:2212.03128

2022/12/6

Herbert Edelsbrunner
Herbert Edelsbrunner

H-Index: 46

Morteza Saghafian
Morteza Saghafian

H-Index: 2

On the size of chromatic Delaunay mosaics

arXiv preprint arXiv:2212.03121

2022/12/6

Brillouin zones of integer lattices and their perturbations

SIAM Journal on Discrete Math

2022/4/3

Continuous and discrete radius functions on voronoi tessellations and delaunay mosaics

Discrete & Computational Geometry

2022/4

The beauty of random polytopes inscribed in the 2-sphere

Experimental Mathematics

2021/10/22

Herbert Edelsbrunner
Herbert Edelsbrunner

H-Index: 46

Anton Nikitenko
Anton Nikitenko

H-Index: 4

Counting Cells of Order-k Voronoi Tessellations in R 3 with Morse Theory

37th International Symposium on Computational Geometry

2021/6

The multi-cover persistence of Euclidean balls

Discrete & Computational Geometry

2021/6

Herbert Edelsbrunner
Herbert Edelsbrunner

H-Index: 46

See List of Professors in Herbert Edelsbrunner University(Institute of Science and Technology Austria)