MA015 Graph Algorithms

Faculty of Informatics
Spring 2003
Extent and Intensity
2/1. 3 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
doc. RNDr. Libor Polák, CSc. (lecturer)
Mgr. Michal Marciniszyn (seminar tutor)
Guaranteed by
doc. RNDr. Libor Polák, CSc.
Departments – Faculty of Science
Contact Person: doc. RNDr. Libor Polák, CSc.
Timetable
Mon 13:00–15:50 A107, Mon 18:00–18:50 B410, Mon 19:00–19:50 B410
  • Timetable of Seminar Groups:
MA015/01: No timetable has been entered into IS. L. Polák
MA015/02: No timetable has been entered into IS. M. Marciniszyn
MA015/03: No timetable has been entered into IS. M. Marciniszyn
Prerequisites
! M015 Graph Algorithms
Before enrolling this course the students should go through MA010 Graph Theory.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
there are 6 fields of study the course is directly associated with, display
Course objectives (in Czech)
Jsou prezentovány základní grafové algoritmy, především rozličné modifikace algoritmu hledání minimální kostry a nejkratší cesty v daném grafu.
Syllabus
  • Elementary graph algorithms (representations of graphs, breadth-first search, depth-first search, topological sort, strongly connected components).
  • Minimum spanning trees (growing a minimum spanning tree, the algorithms of Kruskal and Prim).
  • Single-source shortest paths (shortest paths and relaxation, Dijkstra's algorithm, the Bellman--Ford algorithm, single--source shortest paths in directed acyclic graphs).
  • All-pairs shortest paths (shortest paths and matrix multiplication, the Floyd-Warshall algorithm, Johnson's algorithm for sparse graphs).
  • Maximum flow (flow networks, the Ford-Fulkerson method, maximum bipartite matching).
  • Data structures for graph algorithms (binary heaps, priority queues, data structures for disjoint sets).
Literature
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1990, xi, 1028. ISBN 0262031418. info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Spring 2003, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2003/MA015