Name and surname:
|
doc. RNDr. Robert Lukoťka, PhD.
|
Document type:
|
Research/art/teacher profile of a person
|
The name of the university:
|
Comenius University Bratislava
|
The seat of the university:
|
Šafárikovo námestie 6, 818 06 Bratislava
|
III.a - Occupation-position | III.b - Institution | III.c - Duration |
---|---|---|
programmer - mathematician | Microstep HDO, s.r.o. | 2006-2016 |
odborný asistent | Faculty of Education, Trnava University in Trnava | 2011-2015 |
odborný asistent | Faculty of Mathematics, Physics, and Computer Science, Comenius University | 2015-2018 |
associate professor | Faculty of Mathematics, Physics, and Computer Science, Comenius University | 2018- |
V.1.a - Name of the profile course | V.1.b - Study programme | V.1.c - Degree | V.1.d - Field of study |
---|---|---|---|
1-INF-526/15 System Programming | Computer Science, Bioinformatics | 1. | Computer Science |
1-INF-517/22 Principles of Software design (1) | Computer Science, Bioinformatics, Data science | 1 | Computer Science |
1-INF-518/22 Principles of Software design (2) | Computer Science, Bioinformatics, Data science | 1 | Computer Science |
1-INF-210/00 Introduction to mathematical logic | ComputerScience, Bioinformatics | 1 | Computer Science |
1-INF-225/15 Programming (3) | Computer Science | 1 | Computer Science |
1-INF-911/15 Bachelor seminar (1) | Computer Science | 1 | Computer Science |
2-INF-226/22 Principles of Software Development (3) | Computer Science | 2. | Computer Science |
1-INF-920/15 Bachelor seminar (2) | Computer Science | 1. | Computer Science |
2-INF-114/23 Matematical logic | Computer Science | 2. | Computer Science |
2-INF-133/00 Probabilistic Methods | Computer Science | 2. | Computer Science |
V.2.a - Name of the study programme | V.2.b - Degree | V.2.c - Field of study |
---|---|---|
Computer Science | 2. | Computer Science |
Lukoťka, R., Máčajová, E., Mazák, J., & Škoviera, M. (2015). Small Snarks with Large Oddness. The Electronic Journal of Combinatorics, 22(1), P1-51.
Dunik, B., & Lukotka, R. (2018). Cubic TSP: A 1.3-Approximation. SIAM Journal on Discrete Mathematics, 32(3), 2094-2114.
Lukoťka, R., & Mazák, J. (2010). Cubic graphs with given circular chromatic index. SIAM Journal on Discrete Mathematics, 24(3), 1091-1103.
Lukoťka, R., Mazák, J., & Zhu, X. (2015). Maximum 4-Degenerate Subgraph of a Planar Graph. The Electronic Journal of Combinatorics, 22(1), P1-11.
Lukotka, R. (2020). Short cycle covers of cubic graphs and intersecting 5-circuits. SIAM Journal on Discrete Mathematics, 34(1), 188-211.
Lukoťka, R. (2020). Short cycle covers of cubic graphs and intersecting 5-circuits. SIAM Journal on Discrete Mathematics, 34(1), 188-211
Lukoťka, R. (2024). Circular flow number of Goldberg snarks. Discrete Mathematics, 347(3), 113792.
Lukoťka, R., & Rollová, E. (2022). Perfect matchings in highly cyclically connected regular graphs. Journal of Graph Theory, 100(1), 28-49.
Kompišová, A., & Lukoťka, R. (2020). Short cycle covers of graphs with at most 77% vertices of degree two. The Electronic Journal of Combinatorics, P4-31.
Lukoťka, R. (2021). Determining the circular flow number of a cubic graph. The Electronic Journal of Combinatorics, P1-49.
Lukoťka, R., Mazák, J., & Zhu, X. (2015). Maximum 4-Degenerate Subgraph of a Planar Graph. The Electronic Journal of Combinatorics, 22(1), P1-11.
Le, H. (2018). A Better Bound on the Largest Induced Forests in Triangle-Free Planar Graph. Graphs and Combinatorics, 34(6), 1217-1246.
Candráková, B., & Lukoťka, R. (2015). Avoiding 5-circuits in 2-factors of cubic graphs. SIAM Journal on Discrete Mathematics, 29(3), 1387-1405.
Čada, R., Chiba, S., Ozeki, K., & Yoshimoto, K. (2017). On dominating even subgraphs in cubic graphs. SIAM Journal on Discrete Mathematics, 31(2), 890-907.
Lukoťka, R., & Mazák, J. (2018). Weak oddness as an approximation of oddness and resistance in cubic graphs. Discrete Applied Mathematics, 244, 223-226.
Allie, I. (2019). Oddness to resistance ratios in cubic graphs. Discrete Mathematics, 342(2), 387-392.
Lukoťka, R., & Škoviera, M. (2008). Real flow number and the cycle rank of a graph. Journal of Graph Theory, 59(1), 11-16.
Goedgebeur, J., Mattiolo, D., & Mazzuoccolo, G. (2020). Computational results and new bounds for the circular flow number of snarks. Discrete Mathematics, 343(10), 112026.
Lukoťka, R., & Mazák, J. (2010). Cubic graphs with given circular chromatic index. SIAM Journal on Discrete Mathematics, 24(3), 1091-1103.
Lin, C., Wong, T. L., & Zhu, X. (2014). Circular chromatic indices of regular graphs. Journal of Graph Theory, 76(3), 169-193.
APVV-15-0220
APVV-19-0308
VEGA 1/0876/16
VEGA 1/0813/18
VT6, Excelent team GRAMAD, FMFI UK
VEGA 1/0743/21
VEGA 1/0727/22
APVV-23-0076
VII.a - Activity, position | VII.b - Name of the institution, board | VII.c - Duration |
---|---|---|
Member of the Organization Commitee | Eurocomb 2019 | 2017-2019 |
Member of the Organization Commitee | CSGT 2016 | 2015-2016 |
VIII.a - Name of the institution | VIII.b - Address of the institution | VIII.c - Duration (indicate the duration of stay) | VIII.d - Mobility scheme, employment contract, other (describe) |
---|---|---|---|
Zheijang Normal University | Jinhua, China | April-May 2011 | Invitation of Prof. Xuding Zhu |
Zheijang Normal University | Jinhua, China | April-May 2014 | Invitation of Prof. Xuding Zhu |