# Aart Blokhuis

## Technische Universiteit Eindhoven

H-index: 33

Europe-Netherlands

## About Aart Blokhuis

Aart Blokhuis, With an exceptional h-index of 33 and a recent h-index of 15 (since 2020), a distinguished researcher at Technische Universiteit Eindhoven, specializes in the field of combinatorics, discrete mathematics, finite geometry, algebra.

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

On the sunflower bound for k-spaces, pairwise intersecting in a point

Correction to: Cameron–Liebler sets of k-spaces in

Cameron-Liebler sets of k-spaces in PG (n, q)(vol 87, pg 1839, 2019)

The extended coset leader weight enumerator of a twisted cubic code

On the balanced upper chromatic number of finite projective planes

The locally icosahedral graphs

### Aart Blokhuis Information

University | Technische Universiteit Eindhoven |
---|---|

Position | Associate Professor of Mathematics |

Citations(all) | 3537 |

Citations(since 2020) | 918 |

Cited By | 3007 |

hIndex(all) | 33 |

hIndex(since 2020) | 15 |

i10Index(all) | 85 |

i10Index(since 2020) | 27 |

University Profile Page | Technische Universiteit Eindhoven |

#### Aart Blokhuis Skills & Research Interests

combinatorics

discrete mathematics

finite geometry

algebra

## Top articles of Aart Blokhuis

### On the sunflower bound for k-spaces, pairwise intersecting in a point

Authors

Aart Blokhuis,Maarten De Boeck,Jozefien D’haeseleer

Journal

Designs, Codes and Cryptography

Published Date

2022/9/1

A t-intersecting constant dimension subspace code C is a set of k-dimensional subspaces in a projective space , where distinct subspaces intersect in exactly a t-dimensional subspace. A classical example of such a code is the sunflower, where all subspaces pass through the same t-space. The sunflower bound states that such a code is a sunflower if . In this article we will look at the case and we will improve this bound for : a set of k-spaces in , pairwise intersecting in a point is a sunflower if $$|\mathcal {S}|> \left( \frac{2}{\root 6 \of {q}}+\frac{4}{\root 3 \of {q}}- \frac{5}{\sqrt{q}}\right) \left( \frac{q^{k + 1} - 1}{q - 1}\right) ^2$$.

### Correction to: Cameron–Liebler sets of k-spaces in

Authors

Aart Blokhuis,Maarten De Boeck,Jozefien D’haeseleer

Journal

Designs, Codes and Cryptography

Published Date

2022/2

In this document we describe and correct a mistake made in the article [2]. We prove a new classification theorem.

### Cameron-Liebler sets of k-spaces in PG (n, q)(vol 87, pg 1839, 2019)

Authors

Aart Blokhuis,Maarten De Boeck,Jozefien D'haeseleer

Journal

DESIGNS CODES AND CRYPTOGRAPHY

Published Date

2022

Cameron-Liebler sets of k-spaces in PG(n, q) (vol 87, pg 1839, 2019) Universiteit Gent Add publications and datasets Lists Sign in Academic Bibliography Search 200 years of publications by Ghent University researchers. Search publications and datasets Advanced search 1 file | 256.48 KB Download Download "(...).pdf" See all downloads Add to list 1.Search results 2.Cameron-Liebler sets of k-spaces in P... Cameron-Liebler sets of k-spaces in PG(n, q) (vol 87, pg 1839, 2019) Aart Blokhuis, Maarten De Boeck (UGent) and Jozefien D'haeseleer (UGent) (2022) DESIGNS CODES AND CRYPTOGRAPHY. 90(2). p.477-487 Author Aart Blokhuis, Maarten De Boeck (UGent) and Jozefien D'haeseleer (UGent) Organization Department of Mathematics: Algebra and Geometry Department of Mathematics: Analysis, Logic and Discrete Mathematics Keywords Applied Mathematics, Computer Science Applications Downloads …

### The extended coset leader weight enumerator of a twisted cubic code

Authors

Aart Blokhuis,Ruud Pellikaan,Tamás Szőnyi

Journal

Designs, Codes and Cryptography

Published Date

2022/9

The extended coset leader weight enumerator of the generalized Reed–Solomon code is computed. In this computation methods in finite geometry, combinatorics and algebraic geometry are used. For this we need the classification of the points, lines and planes in the projective three space under projectivities that leave the twisted cubic invariant. A line in three space determines a rational function of degree at most three and vice versa. Furthermore, the double point scheme of a rational function is studied. The pencil of a true passant of the twisted cubic, not in an osculation plane gives a curve of genus one as double point scheme. With the Hasse–Weil bound on -rational points we show that there is a 3-plane containing the passant.

### On the balanced upper chromatic number of finite projective planes

Authors

Zoltán L Blázsik,Aart Blokhuis,Štefko Miklavič,Zoltán Lóránt Nagy,Tamás Szőnyi

Journal

Discrete Mathematics

Published Date

2021/3/1

In this paper, we study vertex colorings of hypergraphs in which all color class sizes differ by at most one (balanced colorings) and each hyperedge contains at least two vertices of the same color (rainbow-free colorings). For any hypergraph H, the maximum number k for which there is a balanced rainbow-free k-coloring of H is called the balanced upper chromatic number of the hypergraph. We confirm the conjecture of Araujo-Pardo, Kiss and Montejano by determining the balanced upper chromatic number of the desarguesian projective plane PG (2, q) for all q. In addition, we determine asymptotically the balanced upper chromatic number of several families of non-desarguesian projective planes and also provide a general lower bound for arbitrary projective planes using probabilistic methods which determines the parameter up to a multiplicative constant.

### The locally icosahedral graphs

Authors

Dominique Buset,A Blokhuis,Andries E Brouwer,Arjeh M Cohen

Published Date

2020/10/14

There are precisely three locally icosahedral graphs, namely the point graph of the 600-cell on 120 vertices, and quotients of this graph on 60 and 40 vertices, respectively.

## Aart Blokhuis FAQs

### What is Aart Blokhuis's h-index at Technische Universiteit Eindhoven?

The h-index of Aart Blokhuis has been 15 since 2020 and 33 in total.

### What are Aart Blokhuis's top articles?

The articles with the titles of

On the sunflower bound for k-spaces, pairwise intersecting in a point

Correction to: Cameron–Liebler sets of k-spaces in

Cameron-Liebler sets of k-spaces in PG (n, q)(vol 87, pg 1839, 2019)

The extended coset leader weight enumerator of a twisted cubic code

On the balanced upper chromatic number of finite projective planes

The locally icosahedral graphs

are the top articles of Aart Blokhuis at Technische Universiteit Eindhoven.

### What are Aart Blokhuis's research interests?

The research interests of Aart Blokhuis are: combinatorics, discrete mathematics, finite geometry, algebra

### What is Aart Blokhuis's total number of citations?

Aart Blokhuis has 3,537 citations in total.

### What are the co-authors of Aart Blokhuis?

The co-authors of Aart Blokhuis are Laszlo Lovasz, R. Calderbank, Peter Cameron, Ruud Pellikaan, Tamas Szonyi, Karoly Bezdek.