Jul 15, 2020   1:28 p.m. Henrich
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doc. RNDr. Soňa Pavlíková, CSc.
Identification number: 277
University e-mail: sona.pavlikova [at] stuba.sk
Docentka CSc.,PhD. - Department of Mathematics (IIEAM FCFT)
External colleague - Institute of Applied Informatics, Automation and Mechatronics (MTF)

Contacts          Final thesis     

Basic information

Basic information about a final thesis

Type of thesis:
Habilitation thesis
Thesis title:
Spectral Properties of Graphs and their Applications
Written by (author):
Opponent 1:prof. RNDr. Martin Knor, PhD.
Opponent 2:
Opponent 3:
Final thesis progress:Final thesis was successfully defended.

Additional information

Additional information about the final thesis follows. Click on the language link to display the information in the desired language.

Language of final thesis:English

Slovak        English

Title of the thesis:
Spectral Properties of Graphs and their Applications
The Thesis is a commented overview of a selection results contained in six publications of the author (five in co-authorship), with full length copies of the papers attached as Appendices. The central theme are spectra of graphs and the interplay between pairs ofgraphswithmutuallyinversespectra. Theworkisintroducedbyareviewofthefront divisor technique for determination of graph spectra. Most of the material that follows is concerned with ways of meaningfully inverting a graph to obtain one with inverse spectrum to that of the original graph. A detailed survey of known approaches to this problem is given, followed by a presentation of a range of constructions of various types of graph inverses. Using advanced methods of nonlinear optimization a number of estimates of important parameters related to graph spectra are obtained and their applications are discussed. The exposition is permeated throughout by highlighting author’s contributions to individual topics.
Key words:
graph, spectra, inverse

Parts of thesis with postponed release:

Final thesis (final thesis appendices) unlimited
Reviews for final thesis unlimited