| dc.contributor.advisor |
Lepović, Mirko |
|
| dc.contributor.author |
Lazić, Mirjana |
|
| dc.date.accessioned |
2011-12-19T11:47:32Z |
|
| dc.date.available |
2011-12-19T11:47:32Z |
|
| dc.date.issued |
2011 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/1879 |
|
| dc.description.abstract |
This doctoral dissertation belongs to the Spectral theory of finite and infinite graphs, which joins elements of Graph theory and Linear algebra. The dissertation, beside Preface and References with 24 items, consists of four chapters divided in sections and Appendix. In Chapter 1 some results on the reduced energy of graphs are given. All connected graphs whose reduced energy does not exceed 3 are described. In Chapter 2 all finite and infinite graphs with seven nonzero eigenvalues are determined.
Some results on integral graphs are given in Chapter 3. Finally, Chapter 4 contains some results on symmetric double starlike trees. The definitions of starlike tree and double starlike tree are given and we proved that there exist no two cospectral non-isomorphic symmetric double starlike trees. |
en_US |
| dc.description.provenance |
Submitted by Slavisha Milisavljevic (slavisha) on 2011-12-19T11:47:32Z
No. of bitstreams: 1
dokdis.pdf: 713493 bytes, checksum: 3c057023bbd9b1ea16ba848d692fb619 (MD5) |
en |
| dc.description.provenance |
Made available in DSpace on 2011-12-19T11:47:32Z (GMT). No. of bitstreams: 1
dokdis.pdf: 713493 bytes, checksum: 3c057023bbd9b1ea16ba848d692fb619 (MD5)
Previous issue date: 2011 |
en |
| dc.language.iso |
sr |
en_US |
| dc.publisher |
Kragujevac, Serbia |
en_US |
| dc.title |
Rešavanje nekih problema spektralne teorije grafova |
en_US |
| mf.author.birth-date |
1959 |
|
| mf.author.birth-place |
Kragujevac |
en_US |
| mf.author.birth-country |
Yugoslavia |
en_US |
| mf.author.residence-state |
Serbia |
en_US |
| mf.author.citizenship |
Serbian |
en_US |
| mf.author.nationality |
Serbian |
en_US |
| mf.subject.area |
Mathematics |
en_US |
| mf.subject.keywords |
Simple graphs; energy of graph; spectra of graphs; starlike tree; symmetric starlike tree |
en_US |
| mf.subject.subarea |
Graph theory |
en_US |
| mf.subject.subarea |
Spectral theory of finite and infinite graphs |
en_US |
| mf.subject.msc |
05C50 |
|
| mf.contributor.committee |
Simić, Slobodan |
|
| mf.contributor.committee |
Petrović, Miroslav |
|
| mf.university.faculty |
Faculty of Science and Mathematics |
en_US |
| mf.document.references |
24 |
en_US |
| mf.document.pages |
112 |
en_US |
| mf.document.location |
Faculty of Science and Mathematics, University of Kragujevac, Serbia |
en_US |
| mf.document.location |
Library of University of Kragujevac, Serbia |
en_US |
| mf.document.genealogy-project |
No |
en_US |
| mf.author.parent |
Mihailo |
en_US |
| mf.university |
University of Kragujevac |
en_US |