(UL)
-
Normal circulant graphs with noncyclic regular subgroupsMarušič, Dragan ; Morris, JoyWe prove that any circulant graph of order ▫$n$▫ with connection set ▫$S$▫ such that ▫$n$▫ and the order of ▫$\mathbb Z^\ast_n(S)$▫, the subgroup of ▫$\mathbb Z^\ast_n$▫ that fixes ▫$S$▫ set-wise, ... are relatively prime, is also a Cayley graph on some noncyclic group, and shows that the converse does not hold in general. In the special case of normal circulants whose order is not divisible by 4, we classify all such graphs that are also Cayley graphs of a noncyclic group, and show that the noncyclic group must be metacyclic, generated by two cyclic groups whose orders are relatively prime. We construct an infinite family of normal circulants whose order is divisible by 4 that are also normal Cayley graphs on dihedral and noncyclic abelian groups.Source: Journal of graph theory. - ISSN 0364-9024 (Vol. 50, No. 1, 2005, str. 13-24)Type of material - article, component partPublish date - 2005Language - englishCOBISS.SI-ID - 13741145
Author
Marušič, Dragan |
Morris, Joy
Topics
matematika |
teorija grafov |
krožni grafi |
normalni grafi |
ciklična grupa |
metaciklična grupa |
regularna podgrupa |
mathematics |
graph theory |
circulant graph |
normal graph |
cyclic group |
meta cyclic group |
regular subgroup
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 |
---|---|
Marušič, Dragan | 02887 |
Morris, Joy |
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: