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Bc. Dominik Melicher

Bachelor's thesis

Twin-width of planar graphs

Twin-width of planar graphs
Abstract:
Twin-width je nový grafový atribút prvýkrát zavedený v roku 2020. Je v poslednej dobe intenzívne skúmaný. V tejto práci uvedieme prehľad o twin-width sústredený na posledné pokusy nájsť vrchnú a spodnú hranicu pre rovinné grafy. Následne ukážeme implementácie pre 3 momentálne najlepšie algoritmy na hľadanie kontrakčných sekvencií na rovinných grafoch a porovnáme ich výkony.
Abstract:
Twin-width is a new graph attribute introduced in 2020, that is currently being heavily researched. In this thesis, we give an overview of twin-width, focusing on the most recent attempts to find upper and lower bounds for planar graphs. Afterward, we show implementations for the current 3 best algorithms for finding a contraction sequence on planar graphs and compare their performances in practice …more
 

Keywords

twin-width graph theory planar graphs
 
Language used: English
Date on which the thesis was submitted / produced: 15. 12. 2022
Identifier: https://is.muni.cz/th/mpc77/

Thesis defence

  • Date of defence: 31. 1. 2023
  • Supervisor: prof. RNDr. Petr Hliněný, Ph.D.
  • Reader: RNDr. Filip Pokrývka

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Institution archiving the thesis and making it accessible: Masarykova univerzita, Fakulta informatiky
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Masaryk University

Faculty of Informatics

Bachelor programme / field:
Informatics / Informatics

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