Faculty of Technical Sciences

Subject: Spectral graph theory (17.DOM40Z)

Native organizations units: No data
General information:
 
Category Scientific-professional
Scientific or art field Teorijska i primenjena matematika
Interdisciplinary Yes
ECTS 10
Educational goal:

Students are introduced to possibilities offered by methods developed within linear algebra in solving combinatorial problems, with special emphasis on graphs.

Educational outcome:

The acquired knowledge is expected to be applied in solving practical problems which can be modelled using graphs.

Course content:

Types of matrices associated with graphs, spectral invariants of graphs (eigenvalues, eigenspaces, etc), relation between eigenvalues of a graph and its structure, spectral properties, spectral techniques and their applications.

Teaching methods:

The emphasis is placed on students` independent research work which includes theoretical as well as practical part which assumes the use of different software tools: GRAPH, NEWGRAPH, MATHEMATICA, etc.

Literature:
Authors Title Year Publisher Language
D. Cvetković, P. Rowlinson, S. Simić Introduction to the spectral graph theory 2009 Cambridge University Press Serbian language
Knowledge evaluation:
Course activity Pre-examination Obligations Number of points
Oral part of the exam No Yes 50.00
Term paper Yes Yes 50.00
Lecturers:

Faculty of Technical Sciences

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Contact:

Address: Trg Dositeja Obradovića 6, 21102 Novi Sad

Phone:  (+381) 21 450 810
(+381) 21 6350 413

Fax : (+381) 21 458 133
Emejl: ftndean@uns.ac.rs

© 2024. Faculty of Technical Sciences.