(UL)
-
Polarity graphs revisitedBachratý, Martin ; Širan, JozefPolarnostni grafi, znani tudi kot Brownovi grafi, in njihove manjše modifikacije, so največji trenutno znani grafi premera 2 in dane maksimalne stopnje ▫$d$▫, kjer je ▫$d - 1$▫ potenca praštevila ... večja od 5. V luči nedavnega zanimanja za "problem stopenj in premera", omejenega na vozliščno-tranzitivne in Cayleyeve grafe, raziskujemo načine, na katere bi spremenili (ne-regularne) polarnostne grafe v velike vozliščno-tranzitivne grafe premera 2 in dane stopnje. Najprej pregledamo določene lastnosti polarnostnih grafov in predstavimo nove in krajše dokaze. Nato pokažemo, da polarnostni grafi maksimalne sode stopnje ▫$d$▫ ne morejo biti vpeti podgrafi vozliščno-tranzitivnih grafov stopnje največ ▫$d + 2$▫. Če je ▫$d - 1$▫ potenca števila 2, potem obstajata dva velika vozliščno-tranzitivna inducirana podgrafa ustreznega polarnostnega grafa, eden je stopnje ▫$d - 1$▫, drugi pa stopnje ▫$d - 2$▫. Pokažemo, da podgrafov stopnje ▫$d - 1$▫ ni mogoče razširiti do vozliščno-tranzitivnih grafov premera 2 z dodajanjem relativno majhne ne-povezavne orbitale. Dokažemo pa, da je podgrafe stopnje ▫d - 2▫ mogoče razširiti do največjih trenutno znanih Cayleyevih grafov dane stopnje in premera 2, ki sta jih našla Šiagiová in drugi avtor [J. Combin. Theory Ser. B 102 (2012), 470-473].Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 8, no. 1, 2015, str. 55-67)Type of material - article, component part ; adult, seriousPublish date - 2015Language - englishCOBISS.SI-ID - 17368409
Author
Bachratý, Martin |
Širan, Jozef
Topics
graf |
polarnostni graf |
stopnja |
premer |
grupa avtomorfizmov |
vozliščno-tranzitiven graf |
Cayleyjev graf |
graph |
polarity graph |
degree |
diameter |
automorphism group |
vertex-transitive graph |
Cayley graph
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 |
---|---|
Bachratý, Martin | |
Širan, Jozef |
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: