FMF, Mathematical Library, Lj. (MAKLJ)
-
Spektralna metoda za določanje pasovnosti grafa : diplomsko delo : Prešernova nagrada študentomJuvan, MartinV diplomskem delu je obravnavan problem določanja pasovnosti grafov. Najprej je vpeljana posplošitev pasovnosti, ki jo imenujemo ▫$p$▫-pasovnost. Opravljen je pregled važnejših rezultatov s tega ... področja, izpeljanih pa je tudi nekaj povezav med različnimi pasovnostmi. V nadaljevanju je vpeljana še Laplaceova matrika grafa, dokazane so nekatere znane lastnosti te matrike in njenega spektra, poudarek pa je predvsem na prikazu pomembnosti druge najmanjše lastne vrednosti ▫$\lambda_2$▫ te matrike. Iz izpeljanih lastnosti spektra Laplaceove matrike dobimo zanimive "spektralne" ocene za nekatere ▫$p$▫-pasovnosti, ▫$p\in\{1,2,\infty\}$▫. Omenjena je tudi prerezna pasovnost. Prikazan je še hevristični algoritem za iskanje približka k optimalni označitvi grafa s pomočjo lastnih vrednosti ▫$\lambda_2$▫ pripadajočega lastnega vektorja ▫$x^{(2)}$▫. Opravljena je kratka analiza napake algoritma, iz izračunanih primerov pa ugotovimo, da je njegovo obnašanje zadovoljivo.Type of material - undergraduate thesisPublication and manufacture - Ljubljana : [M. Juvan], 1989Language - slovenianCOBISS.SI-ID - 3534937
Author
Juvan, Martin
Other authors
Mohar, Bojan, 1956-
Topics
matematika |
teorija grafov |
pasovnost |
Laplaceova matrika grafa |
spektralne ocene |
hevristični algoritem |
bandwidth |
cutwidth |
Laplacian matrix |
spectral bounds |
heuristic algorithm
Call number – location, accession no. ... |
Copy status | Reservation |
---|---|---|
Skladišče-Jadranska 21 0000010668/0000000394 0000000001 Skladišče-Jadranska 21 10668/394 1 |
available - reading room
|
|
Skladišče-Jadranska 21 0000010668/0000000394 Skladišče-Jadranska 21 10668/394 |
available - reading room
|
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
If the library membership card is not in the list,
add a new one.
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|---|
Juvan, Martin | 11220 |
Mohar, Bojan, 1956- | 01931 |
Source: Personal bibliographies
and: SICRIS
Select pickup location:
Material pickup by post
Delivery address:
Address is missing from the member's data.
The address retrieval service is currently unavailable, please try again.
By clicking the "OK" button, you will confirm the pickup location selected above and complete the reservation process.
By clicking the "OK" button, you will confirm the above pickup location and delivery address, and complete the reservation process.
By clicking the "OK" button, you will confirm the address selected above and complete the reservation process.
Notification
Automatic login and reservation service currently not available. You can reserve the material on the Biblos portal or try again here later.
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
Pickup location | Material status | Reservation |
---|
Reservation in progress
Please wait a moment.
Reservation was successful.
Reservation failed.
Reservation...
Membership card:
Pickup location: