(UL)
-
Smallest snarks with oddness 4 and cyclic connectivity 4 have order 44Goedgebeur, Jan, 1986- ; Máčajová, Edita ; Škoviera, MartinDružina snarkov - povezanih brezmostnih kubičnih grafov, ki se jih ne da 3-povezavno pobarvati - je dobro znana kot možni vir protiprimerov za več pomembnih in dolgotrajnih domnev v teoriji grafov. ... Med njimi so domneva o dvojnem pokritju s cikli, Tuttejeva domneva o 5-toku, Fulkersonova domneva in več drugih. En način pristopa k tem domnevam je raziskovanje strukturnih lastnosti snarkov in konstruiranje majhnih primerov z danimi lastnostmi. V tem članku obravnavamo problem določitve najmanjšega reda netrivialnega snarka (takega, ki je ciklično 4-povezavno-povezan in ima ožino najmanj 5) in čudnost najmanj 4. S kombiniranjem strukturne analize in izčrpnih izračunov dokažemo, da je najmanjši red snarka s čudnostjo najmanj 4 in ciklicno povezanostjo 4 enak 44. Prej je bilo znano, da mora imeti takšen snark najmanj 38 točk, in en tak snark na 44 tockah so konstruirali Lukot'ka, Mácajová, Mazák in Škoviera leta 2015. Dokaz zahteva določitev vseh cikličnih 4-povezavno-povezanih snarkov na 36 točkah, kar razširja predhodno zbrani seznam vseh takšnih snarkov z največ 34 točkami. Ta novi seznam uporabimo tudi za testiranje veljavnosti več domnev, kjer so snarki lahko najmanjši protiprimeri.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 16, no. 2, 2019, str. 277-298)Type of material - article, component part ; adult, seriousPublish date - 2019Language - englishCOBISS.SI-ID - 18752345
Author
Goedgebeur, Jan, 1986- |
Máčajová, Edita |
Škoviera, Martin
Topics
kubičen graf |
ciklična povezanost |
povezavno barvanje |
snark |
čudnost |
računanje |
cubic graph |
cyclic connectivity |
edge-colouring |
snark |
oddness |
computation
![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 |
---|---|
Goedgebeur, Jan, 1986- | ![]() |
Máčajová, Edita | ![]() |
Škoviera, Martin | ![]() |
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: