ALL libraries (COBIB.SI union bibliographic/catalogue database)
-
Množice točk in vozlišč v splošni legi : magistrsko deloGašparič, BarbaraMagistrsko delo obravnava klasični problem "no-three-in-line" in dve njegovi posplošitvi. Klasični problem "no-three-in-line" je, poiskati največje možno število točk, ki jih lahko postavimo na ▫$n ... \times n$▫ mrežo tako, da nobene tri med njimi ne bodo ležale v ravni črti. Posplošitvi, ki ju bomo obravnavali, sta problem "no-three-in-line" v 3D in problem splošne lege v teoriji grafov. Problem "no-three-in-line" v 3D je, poiskati največje možno število točk, ki jih lahko postavimo na ▫$n \times n \times n$▫ mrežo tako, da nobene tri med njimi ne bodo ležale v ravni črti. Problem splošne lege v teoriji grafov pa je, poiskati največjo množico vozlišč, za katero bo veljalo, da nobena tri vozlišča iz te množice ne ležijo na skupni najkrajši poti. V prvem poglavju je navedenih nekaj definicij in pomembnih rezultatov iz področja diskretne matematike in teorije števil, ki jih bomo potrebovali v nadaljnjih poglavjih. V drugem poglavju predstavimo klasični problem "no-three-in-line", pokažemo koliko je pričakovana zgornja meja za število nekolinearnih točk na ▫$n \times n$▫ mreži pri velikih ▫$n$▫ in vidimo, da lahko na ▫$n \times n$▫ mrežo zmeraj postavimo ▫$n$▫ nekolinearnih točk. V tretjem poglavju predstavimo problem "no-three-in-line" v 3D, pokažemo, kako je ta problem povezan s 3D-sliko grafa ▫$K_n$▫ in povemo, kakšno je pričakovano število nekolinearnih točk na ▫$n \times n \times n$▫ mreži. V zadnjem poglavju predstavimo problem splošne lege v teoriji grafov ter njegove zgornje in spodnje meje. Zgornje meje so podane na podlagi različnih izometričnih pokritij grafov, spodnje pa dobimo tako, da množice v splošni legi povežemo s premerom grafa in njegovim pakiranjem.Type of material - master's thesis ; adult, seriousPublication and manufacture - Maribor : [B. Gašparič], 2019Language - slovenianCOBISS.SI-ID - 24435720
Author
Gašparič, Barbara
Other authors
Klavžar, Sandi
Topics
Univerzitetna in visokošolska dela |
magistrska dela |
problem "no-three-in-line" |
splošna lega |
celoštevilska mreža |
3D-slika grafa |
izometrično pokritje |
izometrični podgraf
Library/institution |
City | Acronym | For loan | Other holdings |
---|---|---|---|---|
Miklošič Library FPNM, Maribor | Maribor | PEFMB |
reading room 1 cop.
|
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 |
---|---|
Gašparič, Barbara | |
Klavžar, Sandi | 05949 |
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.
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: