Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Coloring geometric intersection graphs and related problems

2015/17/D/ST1/00585

Keywords:

discrete geometry geometric intersection graphs on-line algorithms

Descriptors:

  • ST1_14: Discrete mathematics and combinatorics
  • ST1_15: Mathematical aspects of computer science

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Bartosz Walczak 

Number of co-investigators in the project: 2

Call: SONATA 9 - announced on 2015-03-16

Amount awarded: 185 000 PLN

Project start date (Y-m-d): 2016-01-28

Project end date (Y-m-d): 2019-09-27

Project duration:: 44 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Laptop (5 000 PLN)
  2. Prezenter bezprzewodowy.
  3. Przejściówka microHDMI/HDMI/VGA.

Information in the final report

  • Publication in academic press/journals (8)
  • Articles in post-conference publications (4)
  1. Common tangents of two disjoint polygons in linear time and constant workspace
    Authors:
    Mikkel Abrahamsen, Bartosz Walczak
    Academic press:
    ACM Transactions on Algorithms (rok: 2018, tom: 15, strony: 12:1-12:21), Wydawca: Association for Computing Machinery
    Status:
    Published
    DOI:
    10.1145/3284355 - link to the publication
  2. Clustered 3-colouring graphs of bounded degree
    Authors:
    Vida Dujmović, Louis Esperet, Pat Morin, Bartosz Walczak, David R. Wood
    Academic press:
    Combinatorics, Probability and Computing (rok: 2022, tom: 31, strony: 123-135), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0963548321000213 - link to the publication
  3. Outerstring graphs are χ-bounded
    Authors:
    Alexandre Rok, Bartosz Walczak
    Academic press:
    SIAM Journal on Discrete Mathematics (rok: 2019, tom: 33, strony: 2181-2199), Wydawca: Society for Industrial and Applied Mathematics
    Status:
    Published
    DOI:
    10.1137/17M1157374 - link to the publication
  4. Sparse Kneser graphs are Hamiltonian
    Authors:
    Torsten Mütze, Jerri Nummenpalo, Bartosz Walczak
    Academic press:
    Journal of the London Mathematical Society (rok: 2021, tom: 103, strony: 1253-1275), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms.12406 - link to the publication
  5. Planar graphs have bounded nonrepetitive chromatic number
    Authors:
    Vida Dujmović, Louis Esperet, Gwenaël Joret, Bartosz Walczak, David R. Wood
    Academic press:
    Advances in Combinatorics (rok: 2020, tom: 2020, strony: 5:1-11), Wydawca: Alliance of Diamond Open Access Journals
    Status:
    Published
    DOI:
    10.19086/aic.12100 - link to the publication
  6. Grounded L-graphs are polynomially χ-bounded
    Authors:
    James Davies, Tomasz Krawczyk, Rose McCarty, Bartosz Walczak
    Academic press:
    Discrete and Computational Geometry (rok: 2021, ), Wydawca: Springer
    Status:
    Submitted
  7. Coloring triangle-free L-graphs with O(log log n) colors
    Authors:
    Bartosz Walczak
    Academic press:
    Acta Mathematica Universitatis Comenianae (rok: 2019, tom: 88, strony: 1063-1069), Wydawca: Comenius University
    Status:
    Published
  8. Coloring curves that cross a fixed curve
    Authors:
    Alexandre Rok, Bartosz Walczak
    Academic press:
    Discrete and Computational Geometry (rok: 2019, tom: 61, strony: 830-851), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00454-018-0031-z - link to the publication
  1. Colouring polygon visibility graphs and their generalizations
    Authors:
    James Davies, Tomasz Krawczyk, Rose McCarty, Bartosz Walczak
    Conference:
    37th International Symposium on Computational Geometry (SoCG 2021) (rok: 2021, ), Wydawca: Schloss Dagstuhl – Leibniz Zentrum für Informatik
    Data:
    konferencja 7-11.06.2021
    Status:
    Published
  2. Coloring curves that cross a fixed curve
    Authors:
    Alexandre Rok, Bartosz Walczak
    Conference:
    33rd International Symposium on Computational Geometry (SoCG 2017) (rok: 2017, ), Wydawca: Schloss Dagstuhl – Leibniz Zentrum für Informatik
    Data:
    konferencja 4-7.07.2017
    Status:
    Published
  3. Coloring and maximum weight independent set of rectangles
    Authors:
    Parinya Chalermsook, Bartosz Walczak
    Conference:
    32nd Annual ACM-SIAM Symposium on Discrete Algorithms (SODA'21) (rok: 2021, ), Wydawca: Society of Industrial and Applied Mathematics
    Data:
    konferencja 10-13.01.2021
    Status:
    Published
  4. Sparse Kneser graphs are Hamiltonian
    Authors:
    Torsten Mütze, Jerri Nummenpalo, Bartosz Walczak
    Conference:
    50th Annual ACM SIGACT Symposium on the Theory of Computing (STOC'18) (rok: 2018, ), Wydawca: Association for Computing Machinery
    Data:
    konferencja 25-29.06.2018
    Status:
    Published