Vorlesung

Dozent: Manfred Kufleitner

Zeit Raum Termine
Mi 11:30–13:00 0.108 Vorlesung, erster Termin: 4.11.2020
Do 11:30–13:00 0.108 Vorlesung und Übungen

Aktuelle Bekanntmachungen und Ankündigungen finden Sie auf der ILIAS-Seite. Hier gibt es auch Erklärungen zu Microsoft Teams.

Prüfung

Die Prüfung erfolgt mündlich. Ein Übungsschein ist nicht erforderlich.

Inhalt

Nummer Datum Inhalt
01 Mi 04.11. Einführung, Grundbegriffe, Cographen
02 Do 05.11. Cographen, planare Graphen, Eulerformel
03 Mi 11.11. Satz von Thomassen, Satz von Kuratowski
04 Mi 18.11. Satz von Kuratowski, Listenfärbbarkeit planarer Graphen
05 Do 19.11. Färbbarkeit planarer Graphen, (Folien)
06 Mi 25.11. Wächtermengen, planare Graphen mit geraden Kanten
07 Do 26.11. Graphenparameter
08 Mi 02.12. Probabilistische Methode, Satz von Erdös
09 Mi 09.12. Probabilistische Lupe, Kreuzungszahl, Satz von Mantel
10 Mi 16.12. Turán-Graphen, Satz von Turán
11 Do 17.12. Satz von Ramsey
12 Mi 13.01. Satz von Dilworth
13 Do 14.01. Satz von Sperner
14 Mi 20.01. Satz von Grötzsch
15 Do 21.01. Perfekte Graphen
16 Mi 27.01. Heiratssatz, chordale Graphen
17 Mi 03.02. Erkennen chordaler Graphen
18 Do 04.02. Transitiv orientierbare Graphen (siehe Skript)
19 Mi 10.02. Intervallgraphen, Permutationsgraphen
20 Do 11.02. Splitgraphen, Gradsequenzen

Übung

Übungsblätter

Literatur

News

[Jun’23] The paper “Parallel algorithms for power circuits and the word problem of the Baumslag group” by Caroline Mattes and Armin Weiß has been accepted at Computational Complexity.

[Oct’22] The paper “Lower Bounds for Sorting 16, 17, and 18 Elements” by Florian Stober and Armin Weiß has been accepted at ALENEX 2023.

[Sep’22] The paper “Conelikes and Ranker Comparisons” by Viktor Henriksson and Manfred Kufleitner has been accepted at LATIN 2022.

[Sep’22] The paper “Improved Parallel Algorithms for Generalized Baumslag Groups” by Caroline Mattes and Armin Weiß has been accepted at LATIN 2022.

[Apr’22] The paper “Reachability Games and Parity Games” by Volker Diekert and Manfred Kufleitner has been accepted at ICTAC 2022.

[Apr’22] The paper “Satisfiability Problems for Finite Groups” by Pawel M. Idziak, Piotr Kawalek, Jacek Krzaczkowski and Armin Weiß has been accepted at ICALP 2022.

[Mar’22] The paper “The Power Word Problem in Graph Products” by Florian Stober and Armin Weiß was accepted at DLT 2022.

[Nov’20] Volker Diekert is Partner Investigator in the Australian ARC grant “Geodetic groups: foundational problems in algebra and computer science” at University of Technology Sydney.

[Apr’20] The paper “Groups with ALOGTIME-hard word problems and PSPACE-complete circuit value problems” by Laurent Bartholdi, Michael Figelius, Markus Lohrey and Armin Weiß has been accepted at CCC 2020.

[Apr’20] The paper “Hardness of equations over finite solvable groups under the exponential time hypothesis” by Armin Weiß has been accepted at ICALP 2020.

[Dec’19] The paper “An Automaton Group with PSPACE-Complete Word Problem” by Jan Philipp Wächter and Armin Weiß has been accepted at STACS 2020.

[Nov’19] Carlos Camino was awarded the stuvus Special Prize for exceptional commitment in teaching.

[Jun’19] The paper “The power word problem” by Markus Lohrey and Armin Weiß has been accepted at MFCS 2019.

[May’19] The paper “On the Average Case of MergeInsertion” by Florian Stober and Armin Weiß has been accepted at IWOCA 2019.

[Oct’18] The paper “Worst-Case Efficient Sorting with QuickMergesort” by Stefan Edelkamp and Armin Weiß has been accepted at ALENEX 2019.

[Jun’18] At CCC 2018, Lukas Fleischer received a Best Student Paper Award for his submission “On the Complexity of the Cayley Semigroup Membership Problem”.

[Jun’18] The paper “Testing Simon’s congruence” by Lukas Fleischer and Manfred Kufleitner was accepted at MFCS 2018.

[Jun’18] The paper “The Intersection Problem for Finite Semigroups” by Lukas Fleischer was accepted at DLT 2018.

[Apr’18] The paper “The isomorphism problem for finite extensions of free groups is in PSPACE” by Géraud Sénizergues and Armin Weiß was accepted at ICALP 2018.

[Apr’18] The paper “On the Complexity of the Cayley Semigroup Membership Problem” by Lukas Fleischer was accepted at CCC 2018.

[Jan’18] On March 24-29, 2019 Volker Diekert, Markus Lohrey, Olga Kharlampovich and Alexei Miasnikov will organize the Schloss Dagstuhl Seminar “Algorithmic Problems in Group Theory”.

[Dec’17] The paper “The Intersection Problem for Finite Monoids” by Lukas Fleischer and Manfred Kufleitner was accepted at STACS 2018.

[Jun’17] At the 12th International Computer Science Symposium in Russia (CSR), Lukas Fleischer and Manfred Kufleitner received a Best Paper Award for their publication “Green’s Relations in Finite Transformation Semigroups”, and Armin Weiss received a Best Paper Award for “The conjugacy problem in free solvable groups and wreath product of abelian groups is in $\text{TC}^0$ \text{TC}^0 “ which is joint work with Alexei Miasnikov and Svetla Vassileva.