Graph Theory
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
128TG | Z,ZK | 4 | 2P+2C | Czech |
- Course guarantor:
- Jiří Demel
- Lecturer:
- Jiří Demel
- Tutor:
- Jiří Demel
- Supervisor:
- Department of Applied Informatics
- Synopsis:
-
Graph theory - basic elements, graph tasks formulations, basic algorithms with recognition of calculation efficiency. Connectivity, strong connectivity, trees, spanning trees, flows in networks, matchings, eulerian trails, hamiltonian paths, independent sets, cliques, coloring, plannar graphs.
- Requirements:
-
No
- Syllabus of lectures:
-
basliclic terminology
graph modelling of real world problems
Search algorithms,
connectivity and strong connectivity,
acyclic graphs, topological sort,
trees and spanning trees,
shortest paths
flows in networks,
matching, assignment problem
hamiltonian problems
coloring, independent sets, cliques
planar graphs
- Syllabus of tutorials:
-
basliclic terminology
graph modelling of real world problems
Search algorithms,
connectivity and strong connectivity,
acyclic graphs, topological sort,
trees and spanning trees,
shortest paths
flows in networks,
matching, assignment problem
hamiltonian problems
coloring, independent sets, cliques
planar graphs
- Study Objective:
-
Ability to use the graph as means of expression to model real situations, ability to solve basic graph problems.
- Study materials:
-
Demel, J.: Grafy a jejich aplikace, 2002, Academia Praha, ISBN 80-200-0990-6, (in czechh);
Secend edition 2015, ISBN 80-260-7684-1
- Note:
- Time-table for winter semester 2024/2025:
-
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon Tue Wed Thu Fri - Time-table for summer semester 2024/2025:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Geodézie a kartografie, specializace Geomatika (compulsory elective course)