# Tamás Róbert Mezei

## Mathematician

### About me

I am a mathematician specializing in *combinatorics* and
*algorithms*. The research topics I have studied
are diverse, their nature hovering around the boundary of theoretical and applied
mathematics. *Extremal* and *graph theoretical* themes are regularly featured in my papers.

To take a break from work, I enjoy riding around the hilly regions of the country. I also love cooking dishes of different cuisines. I find reading about antrohopology, philoshophy, physics, and economics inspiring. Sometimes I make enamel art on copper.

### Most Proud of

####
**Academic Youth Award**

Awarded by the Hungarian Academy of Sciences to recognise outstanding scientific achievements. Received in Feb 2022.

####
**Co-authored 20 scientific papers**

Contributed to a broad range of topics, including (extremal) graph theory, computational geometry, network theory, and bioinformatics.

####
**Multiple finalist in Challenge 24**

24 hour programming contest between teams of 3. Organised by the Budapest University of Technology (BME). Finalist in 2010 and in 2014.

### Strengths

## Experience

### Research fellow

**Young researcher grant**

*Worked on the following topics & grants*

- Traditional & non-traditional methods in extremal combinatorics
- Synthetic networks
- Modern extremal combinatorial problems
- Graph theory & combinatorial scientific computing
- Clustering in wireless networks (industry collaboration)

### Visiting researcher

*Prof. Andrew Francis*.

### Visiting researcher

*Prof. Zoltán Toroczkai*.

### Assistant research fellow

*Pre-doc & post-doc*

## Education

### Ph.D. in Mathematics & its applications

#### with a certificate in Network Science

Thesis:
*Extremal solutions to some art gallery and terminal-pairability problems*

Grade: *Summa cum laude*

### Masters in Mathematics

Thesis:
*Seating couples and Tic-Tac-Toe*

Grade: *with honours*

### Bachelors in Mathematics

Thesis:
*Combinatorial Nullstellensätze*

Grade: *with distinction*

## Publications

A. Hubai, T. R. Mezei, F. Béres, A. Benczúr, and I. Miklós, **“Constructing and sampling partite, 3-uniform hypergraphs with given degree sequence”**,
*PLOS ONE*,
vol. 19, no. 5, p. e0303155,
May 2024

DOI arXiv

P. L. Erdős, T. R. Mezei, and I. Miklós, **“Approximate Sampling of Graphs with Near-P-Stable Degree Intervals”**,
*Annals of Combinatorics*,
Dec. 2023

DOI arXiv

P. L. Erdős, S. R. Kharel, T. R. Mezei, and Z. Toroczkai, **“Degree-preserving graph dynamics: a versatile process to construct random networks”**,
*Journal of Complex Networks*,
vol. 11, no. 6, p. cnad046,
Dec. 2023

DOI arXiv

P. L. Erdős and T. R. Mezei, **“Minimizing Interference-to-Signal Ratios in Multi-Cell Telecommunication Networks”**,
*Algorithms*,
vol. 16 no. 7,
Jul. 2023

DOI arXiv

T. R. Mezei, **“Covering simple orthogonal polygons with 𝑟-stars”**,
*arXiv*,
Apr. 26, 2023

arXiv

P. L. Erdős, G. Harcos, S. R. Kharel, P. Maga, T. R. Mezei, and Z. Toroczkai, **“The sequence of prime gaps is graphic”**,
*Mathematische Annalen*,
Feb. 2023

DOI arXiv

T. R. Mezei, S. R. Kharel, P. L. Erdős, and Z. Toroczkai, **“On graphic degree sequences and matching numbers”**,
*arXiv - under review in Discete Mathematics*,
Apr. 15, 2022

arXiv

S. R. Kharel, T. R. Mezei, S. Chung, P. L. Erdős, and Z. Toroczkai, **“Degree-preserving network growth”**,
*Nature Physics*,
vol. 18, no. 1,
Jan. 2022

DOI

P. L. Erdős, C. Greenhill, T. R. Mezei, I. Miklós, D. Soltész, and L. Soukup, **“The mixing time of switch Markov chains: A unified approach”**,
*European Journal of Combinatorics*,
vol. 99, pp. 99–146,
Jan. 2022

DOI arXiv

P. L. Erdős, E. Győri, T. R. Mezei, I. Miklós, and D. Soltész, **“Half-Graphs, Other Non-stable Degree Sequences, and the Switch Markov Chain”**,
*The Electronic Journal of Combinatorics*,
vol. 28, no. 3, p. P3.7,
Jul. 2021

DOI arXiv

P. L. Erdős, A. Francis, and T. R. Mezei, **“Rooted NNI moves and distance-1 tail moves on tree-based phylogenetic networks”**,
*Discrete Applied Mathematics*,
vol. 294, pp. 205–213,
May 2021

DOI arXiv

I. Hartarsky and T. R. Mezei, **“Complexity of Two-dimensional Bootstrap Percolation Difficulty: Algorithm and NP-Hardness”**,
*SIAM J. Discrete Math.*,
vol. 34, no. 2, pp. 1444–1459,
Jan. 2020

DOI arXiv

E. Győri and T. R. Mezei, **“Mobile versus Point Guards”**,
*Discrete & Computational Geometry*,
vol. 61, no. 2, pp. 421–451,
Mar. 2019

DOI arXiv

E. Győri, T. R. Mezei, and G. Mészáros, **“Terminal-Pairability in Complete Graphs”**,
*Journal of Combinatorial Mathematics and Combinatorial Computing*,
vol. 107, pp. 221–231,
Nov. 2018

arXiv

P. L. Erdős, T. R. Mezei, I. Miklós, and D. Soltész, **“Efficiently sampling the realizations of bounded, irregular degree sequences of bipartite and directed graphs”**,
*PLOS ONE*,
vol. 13, no. 8, p. e0201995,
Aug. 2018

DOI arXiv

L. Colucci, P. L. Erdős, E. Győri, and T. R. Mezei, **“Terminal-pairability in complete bipartite graphs with non-bipartite demands: Edge-disjoint paths in complete bipartite graphs”**,
*Theoretical Computer Science*,
vol. 775, pp. 16–25,
Jul. 2019

DOI arXiv

L. Colucci, P. L. Erdős, E. Győri, and T. R. Mezei, **“Terminal-pairability in complete bipartite graphs”**,
*Discrete Applied Mathematics*,
vol. 236, pp. 459–463,
Feb. 2018

DOI arXiv

D. Dedinszki et al., **“Oral administration of pyrophosphate inhibits connective tissue calcification”**,
*EMBO Molecular Medicine*,
p. e201707532,
Jul. 2017

DOI

## Other activities

### Accessible website about COVID

Providing scientifically accurate yet easy to understand up-to date information about COVID-19 from the early stages of the pandemic on. Responsible for website design and structure. Proofread most of the content.

It is cited in the recommendations for decision-makers by the Hungarian Academy of Sciences as a widely acclaimed website targeting laypeople with science-backed information.

The website was also featured by ELTE (my MSc and BSc alma mater).

### Board member at my condominium

I served from 2018 until 2021 as the chair of the supervisory board of the building I live in. Since 2021, I am the deputy chairman of the board managing the condominium. Voluntary work.