ALL libraries (COBIB.SI union bibliographic/catalogue database)
-
On a star chromatic index of subcubic graphs [Elektronski vir]Lužar, Borut ; Mockovčiaková, Martina ; Soták, RomanA vertex signature ▫$\pi$▫ of a finite graph ▫$G$▫ is any mapping ▫$\pi \, : \, V(G)\to \{0,1\}$▫. An edge-coloring of ▫$G$▫ is said to be \textit{vertex-parity} for the pair ▫$(G,\pi)$▫ if for every ... vertex ▫$v$▫ each color used on the edges incident to ▫$v$▫ appears in parity accordance with ▫$\pi$▫, i.e. an even or odd number of times depending on whether ▫$\pi(v)$▫ equals ▫$0$▫ or ▫$1$▫, respectively. The minimum number of colors for which ▫$(G,\pi)$▫ admits such an edge-coloring is denoted by ▫$\chi'_p(G,\pi)$▫. We characterize the existence and prove that ▫$\chi'_p(G,\pi)$▫ is at most ▫$6$▫. Furthermore, we give a structural characterization of the pairs ▫$(G,\pi)$▫ for which ▫$\chi'_p(G,\pi)=5$▫ and ▫$\chi'_p(G,\pi)=6$▫. In the last part of the paper, we consider a weaker version of the coloring, where it suffices that at every vertex, at least one color appears in parity accordance with $\pi$. We show that the corresponding chromatic index is at most ▫$3$▫ and give a complete characterization for it.Source: The European Conference on Combinatorics, Graph Theory and Applications, (EUROCOMBʼ17), TU Vienna, Vienna, August 28 - September 1, 2017 [Elektronski vir] (Vol. 61, 2017, str. 835-839)Type of material - conference contribution ; adult, seriousPublish date - 2017Language - englishCOBISS.SI-ID - 2048470547
Author
Lužar, Borut |
Mockovčiaková, Martina |
Soták, Roman
Topics
vozliščno-parnostno barvanje povezav |
vozliščno-parnostni kromatični indeks |
šibko vozliščno-parnostno barvanje povezav |
predznačenje vozlišč |
vertex-parity edge-coloring |
vertex-parity chromatic index |
weak vertex-parity edge-coloring |
vertex signature
![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 |
---|---|
Lužar, Borut | 31670 |
Mockovčiaková, Martina | ![]() |
Soták, Roman | 36239 |
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: