Graph Theory

Garant předmětu:

Jiří Demel

Lecturer:

Tutor:

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:

Time-table is not available yet

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)
• Geodézie a kartografie, specializace Geomatika (compulsory elective course)