Introduction to Graph Theory A
Code  Completion  Credits  Range  Language 

01ZTGA  ZK  4  4+0  Czech 
 Lecturer:
 Tutor:
 Supervisor:
 Department of Mathematics
 Synopsis:

The course provides a coherent explanation of modern graph theory, some applications are discussed.
 Requirements:
 Syllabus of lectures:

1) Basic notion of graph theory
2) Edge and vertex connectivity (Menger Theorem)
3) Bipartite graphs
4) Trees and forests, cutting edges
5) Spanning trees (MatrixTree Theorem)
6) Euler tours and Hamilton cycles
7) Maximal and perfect matching
8) Edge coloring
9) Flows in networks
10) Vertex coloring
11) Plannar graphs (Kuratowski theorem)
12) Spectrum of an adjacency matrix
13) Extremal graph theory
 Syllabus of tutorials:
 Study Objective:

Knowledge:
Notions of graph theory, their basic properties and mutual relations.
Abilities:
Application of the theory in modelling and solving of particular questions and tasks.
 Study materials:

References:
[1] J.A. Bondy, U.S.R. Murty. Graph theory.
Graduate Texts in Mathematics 244. Springer, New York, (2008).
Recommended references:
[2] R. Diestel. Graph theory.
Graduate Texts in Mathematics 173. SpringerVerlag, Berlin, (2005).
[3] L. Lovasz, M.D. Plummer. Matching Theory. NorthHolland Publishing Co., Amsterdam, (1986).
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans: