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SPRING 2023 SCHEDULE
Monday
9:50 - 11:20, M-IX, 1-MAT-495/00, Introduction to Coding Theory
13:00 - 13:30,
F2 - 92, Uradne hodiny na referate DRS / Office hours doctoral studies
Tuesday
11:00 - 11:30, F2 - 92,
Uradne hodiny na referate DRS / Office hours doctoral studies
Wednesday
13:10 - 14:40, M-126,
2-MAT-225/15, Applications of Group Theory in Discrete Mathematics
Thursday
09:50 - 11:20, M213, Graph Theory Seminar
11:30 - 12:00, F2- 92, Uradne hodiny na referate DRS / Office hours doctoral studies
14:00 - 15:30, M-126,
2-MAT-225/15, Applications of Group Theory in Discrete Mathematics
Friday
8:10 - 9:40, M - XI, 1-MMN-120, Linear Algebra and Geometry
13:00 - 14:30, M-V, Algebraic Graph Theory Seminar
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EDUCATION
Ph.D. Mathematics/Computer Science
(minor), May, 1995
University of Nebraska-Lincoln, Lincoln, Nebraska
Research specialty:
Algebraic Combinatorics
Dissertation:
Vertex-transitive graphs and
maps and their automorphism groups
Advisor:
Professor Spyros S. Magliveras
RNDr., summa cum laude,
Mathematics
Comenius University, Bratislava, Slovakia, 1988
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MOST RECENT PUBLICATIONS AND PROFESSIONAL ACTIVITIES
R. Jajcay and F. Moftakhar,
Computer aided constructions of cages,
RIMS, Kokyuroku 9 (2022), 64 - 73.
L. Eze and R. Jajcay,
Recursive constructions of graphs of large girth and given degree,
ITAT 2022 Proceedings, CEUR Workshop Proceedings Vol. 3226 (2022) 204 - 213.
G. Araujo-Pardo, A. Ramos Rivera, R. Jajcay, and T. Szonyi,
On a relation between bipartite biregular cages, block designs
and generalized polygons, Journal of Combinatorial Designs 30 (7) (2022) 479-496.
R. Jajcay, P. Potocnik and S. Wilson,
On the Cayleyness of Praeger-Xu graphs,
J. of Comb. Theory, Ser. B 152 (2022) 55-79.
S. Filipovski and R. Jajcay,
A connection between a question of Bermond and Bollobas and Ramanujan graphs,
Acta Applicandae Mathematicae 175 (1), 1 (2021).
A. Zavrtanik Drglin, S. Filipovski, R. Jajcay and T. Raiman,
Extremal edge-girth-regular graphs,
Graphs and Combinatorics 37 (6) 2139-2154 (2021).
S. Filipovski and R. Jajcay,
Bounds for the energy of graphs,
Mathematics 9 (2021), 1687.
R. Jajcay and T. Raiman,
Spectra of orders for k-regular graphs of girth g,
Discussiones Mathematicae Graph Theory 41 (2021) 1115-1125.
R. Jajcay and M. Lekar,
The impact of emigration on Slovak mathematics - the case of the Bratislava Graph Theory Seminar,
Math. Intell. 43, No. 1, 45-53 (2021).
R. Jajcay, T. Jajcayova, N. Szakacs and M.B. Szendrei,
Inverse monoids of partial graph automorphisms,
Journal of Algebraic Combinatorics 53 (3), 829-849 (2021).
ALL PUBLICATIONS
Member of the Editorial Board of
Ars Mathematica Contemporanea
and
Acta Mathematica Universitatis Comenianae
TEACHING EXPERIENCE
Educational Excellence Award, College of Arts and Sciences, ISU,
April 1999
Teaching Award awarded by the Dean of FMFI UK, Faculty of Mathematics, Physics and Informatics of the Comenius University, November, 2018
POSTDOCTORAL VISITORS
Fatemeh Koorepazan Moftakhar, April 1, 2022 - March 30, 2023
Slobodan Filipovski, December 1, 2019 - November 30, 2020
Sara Sabrina Zemljic, December 1, 2017 - November 30, 2018
Christian Rubio Montiel, January 1 - December 31, 2016, currently at
FES Acatlan, National Autonomous University of Mexico
DOCTORAL STUDENTS
Tom Raiman, PhD., 2023, VSB-TU Ostrava,
Extremal graphs of prescribed degree and girth
Milan Lekar, PhD., 2022, Comenius University,
The impact of emigration on the development of Mathematics in Slovakia
Slobodan Filipovski, PhD., 2018, University of Primorska,
On extremal graphs of given degree and diameter/girth
MASTER STUDENTS
Branislav Boran, MSc, 2022, Comenius University,
Vlastnosti a symetrie linearnych kodov generovanych incidencnymi maticami regularnych grafov s malym obvodom
Marek Murin, MSc, 2021, Comenius University,
Two-dimensional recurrence relations and enumeration of locally testable
matrices
Dominik Holly, MSc, 2020, Comenius University,
Codes with Prescribed Automorphism Groups
Ajda Zavrtanik Drglin, MSc, 2019, University of Ljubljana,
Girth-Regular and Edge-Girth-Regular Graphs
Nicole Durisova, MSc, 2019, Comenius University,
Rekurentne postupnosti v linearnej algebre
Juraj Karlubik, MSc, 2018, Comenius University,
Vyuzitie softveroveho balika GAP na
vytvaranie a testovanie hypotez v algebraickej teorii grafov
Katarina Jasencakova, MSc, 2017, Comenius University,
m-Spanning Generalized Petersen Graphs
Viktor Hirschner, MSc, 2017, Comenius University,
Recursive Constructions of Regular Graphs
Martin Bachraty, MSc, 2015, Comenius University,
Powers of Skew-Morphisms
Tomas Peitl, MSc, 2015, Comenius University,
Applications of Number Theory to Homomorphic Encryption
Michael Cameron , MSc, 1998, Indiana State University, Constructing Regular Cayley Maps Using Computers
BACHELOR STUDENTS
Juraj Belohorec, 2022,
Mathematical and Algorithmic Foundations of Attacks on the Knapsack
Problem Based Cryptographic Protocols
Alexandra Racikova, 2022,
Matematicke zaklady zdielania tajomstva v kryptografii
Damian Konig, 2020,
Vyuzitie metod linearnej algebry v autentifikacii s nulovou stratou
informacie
Jakub Skoda, 2020,
Discrete Logarithm and Integer Factorization
Jana Valigurska, 2019,
Symmetric Codes
Veronika Zajceva, 2017,
Vyuzitie metod linearnej algebry na vyhladavanie extremalnych grafov
Justina Karlovska, 2017,
Vyuzitie metod linearnej algebry na vyhladavanie extremalnych grafov
Veronika Martisova, 2016,
Aplikacie teorie sifrovania v internetovej komunikacii
Kamil Bena, 2016,
Perfektne linearne a nelinearne kody
Katarina Dunikova, 2015,
Applications of Game Theory in Pricing Strategy Selection
Katarina Jasencakova, 2015,
Use of Lifting Techniques in Vertex-Transitive Graph Constructions
Martin Bachraty, 2013,
Powers of Skew-Morphisms
GRANTS AWARDED
Vyuzitie algebraickych a vypoctovych metod na riesenie klasickych
problemov extremalnej teorie kombinatorickych struktur,
VEGA 1/0596/17, 2017-2019 (with M. Macaj)
Algebraicke, topologicke a kombinatoricke metody v studiu
diskretnych struktur,
APVV-15-0220, 2016-2018 (with M. Skoviera)
Graphs and Related Structures,
VEGA 1/0474/15, 2015-2017 (with M. Skoviera)
Applications of inverse semigroups in combinatorics,
VEGA 1/0577/14, (with T.B. Jajcayova)
Project: Mobility,
ITMS code: 26110230082, (with R. Nedela)
National Science Foundation of China,
NSFC 11371307, (with Yan Wang)
Algebraic, Topological and Combinatorial Structures on Graphs,
APVV, 2011 - 2014, (with M. Skoviera)
Research and Development Cooperation Slovakia -- China,
2011 - 2012, (with R. Nedela)
Algebraic, Combinatorial and Topological Structures on Graphs,
APVV, 2008 - 2010 (with M. Skoviera)
Symmetric graphs and maps,
VEGA, 2002 - 2004 (with J. Siran)
US - Slovenia cooperation,
awarded by the Slovenian Ministry of Science, 2002 - 2006 (with D. Marusic)
National Research Council's Collaboration in Basic Science
and Engineering (COBASE),
2002 (with D. Marusic)
Summer research grants
awarded by the Indiana State
University Research Council, 1996, 1998, 2004, 2009
CONFERENCES ORGANIZED
EUROCOMB 2019
August 26 - 30, 2019, Bratislava, Slovakia
Trojkralova konferencia 2016
January 4, 2016, Bratislava, Slovakia
IWONT 2014, The 6th International Workshop on Optimal Network Topologies
June 30 - July 4, 2014, Bratislava, Slovakia
Midwest Graph Theory Conference, MIGHTY LII
Terre Haute, IN, April 27-28, 2012
Indiana Section of the Mathematical Association of America
Terre Haute, IN, April 2-3, 2004
Midwestern Conference on Combinatorics, Cryptography and Computing
Terre Haute, IN, Oct.30 - Nov. 1, 1997
PRESENTATIONS
LINKS
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