FMF, Mathematical Library, Lj. (MAKLJ)
-
Dominacija v krepkih produktih polnih grafov in poti [Elektronski vir]Prešeren, Ana JulijaDominantna množica grafa ▫$G$▫ je podmnožica množice vozlišč ▫$V(G)$▫, za katero velja, da je vsako vozlišče grafa ▫$G$▫ prisotno v tej množici ali pa je sosedno vozlišču v njej. Dominantno število ... grafa, označujemo ga z ▫$\gamma(G)$▫, je kardinalnost dominantne množice najmanjše moči. V delu poiščemo točno vrednost dominantnega števila krepkega produkta polnega grafa in poti. Njegova vrednost je neodvisna od velikosti polnega grafa in je enaka ▫$\gamma(K_m \boxtimes P_n) = \lceil \frac{n}{3} \rceil$▫. Kritična množica povezav grafa ▫$G$▫ je podmnožica množice povezav ▫$E(G)$▫, katere odstranitev povzroči, da je dominantno število dobljenega grafa večje kot prej. Povezavno kritično število grafa je kardinalnost kritične množice povezav najmanjše moči. Označujemo ga z ▫$b(G)$▫, pomaga pa nam pri ocenjevanju občutljivosti povezovalnih omrežij na propad povezav. Povezavno kritično število krepkega produkta polnega grafa in poti je odvisno od velikosti polnega grafa ▫$K_m$▫ in vrednosti ▫$n$▫ po ▫$\pmod{3}$▫. Za naravni števili ▫$m$▫ in ▫$n$▫, ▫$m\geq 1$▫ in ▫$n \geq 2$▫, velja, da je ▫$b(K_m \boxtimes P_n)=\lceil \frac{m}{2} \rceil$▫, če je ▫$n\equiv 0 \pmod{3}$▫, ▫$b(K_m \boxtimes P_n)=\lceil \frac{3m}{2} \rceil$▫, če je ▫$n\equiv 1 \pmod{3}$▫ in ▫$b(K_m \boxtimes P_n)=m$▫, če je ▫$n\equiv 2 \pmod{3}$▫.Source: Matrika [Elektronski vir] : izbrane teme sodobne fizike in matematike. - ISSN 2385-8567 (Letn. 10, št. 2, 2023, 13 str.)Type of material - e-article ; adult, seriousPublish date - 2023Language - slovenianCOBISS.SI-ID - 166247939
![loading ... loading ...](themes/default/img/ajax-loading.gif)
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 |
---|---|
Prešeren, Ana Julija | ![]() |
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: