# Andrii Arman

Andrii Arman

Research Fellow

School of Mathematical Sciences, Monash University

9 Rainforest Walk, Room 401, Victoria 3800 Australia

E-mail: Andrii.Arman@monash.edu

## Research interests

Research interests

Combinatorics, extremal graph theory, random graphs, Ramsey theory, Euclidean Ramsey theory, discrete geometry, complex and classical analysis

## Publications

Publications

### Published

Published

- A result in asymmetric Euclidean Ramsey theory,
*Discrete Mathematics***341**(2018) (with S. Tsaturian). - Note on Ramsey theorem for posets with linear extensions,
*Electron. J. Combin***24**(2017) (with V. Rödl). - An upper bound for the size of a k-uniform intersecting family with covering number k,
*J. Combin. Theory Ser. A***147**(2017) 18–26 (with T. Retter). - Triangle-free graphs with the maximum number of cycles,
*Discrete Mathematics***339**(2016) 699–711 (with D. Gunderson and S. Tsaturian). - Mathematical Competition of Ukrainian Students 2006–2007 (in Ukrainian, with A. Anikushyn et al.), published by Litera, Kiev, Ukraine (2008) 224 pages

### Accepted

Accepted

*A note on weak delta systems*, accepted for publication in*Discrete Mathematics*in March 2019 (with B. Kay and V. Rödl).

### Submitted

Submitted

*The maximum number of cycles in a graph with a fixed number of edges*, submitted in March 2017 (with S.Tsaturian), arXiv: 1702. 02662.*Properties of the Fibonacci-sum graph,*submitted in October 2017 (with D. Gunderson and B. Li), arXiv: 1710. 10303.

### PhD Thesis

PhD Thesis

- Maximum number of cycles in graphs and multigraphs
*(written under supervision of Dr. D. Gunderson).*

### MSc Thesis

MSc Thesis

- Generalization of Ahlofrs Lemma and boundary behaviour of analytic functions
*(written under supervision of Dr. N. Zorboska).*

## Teaching

Teaching

### International College of Manitoba

International College of Manitoba

- Math 1210 Techniques of classical and linear algebra
- Math 1300 Vector geometry and linear algebra

### University of Manitoba

University of Manitoba

- Math 1700 Calculus 2
- Math 1710 Applied calculus 2
- Training University of Manitoba mathletics teams