FMF, Mathematical Library, Lj. (MAKLJ)
-
A theorem about a contractible and light edgeDvořák, Zdeněk ; Škrekovski, RisteLeta 1955 je Kotzig pokazal, da vsak ravninski 3-povezan graf vsebuje povezavo stopnje ▫$\le 13$▫. Če pa graf ne vsebuje točke stopnje 3, imamo povezavo stopnje ▫$\le 11$▫. Taki povezavi rečemo lahka ... povezava. Pomemben rezultat Steinitza pravi, da so skeleti konveksnih 3-politopov natanko 3-povezani ravninski grafi. Po drugi strani pa je leta 1961 Tuttle dokazal, da vsak 3-povezan graf vsebuje skrčljivo povezavo. V članku izboljšamo Kotzigov izrek, tako da pokažemo, da vsak tak graf, različen od ▫$K_4$▫, vsebuje povezavo, ki je hkrati lahka in skrčljiva. Kot posledico dobimo, da se da vsak konveksni 3-politop konstruirati iz tetraedra s sekvečno ekspanzijo točk stopnje največ 11.Source: SIAM journal on discrete mathematics. - ISSN 0895-4801 (Vol. 20, no. 1, 2006, str. 55-61)Type of material - article, component partPublish date - 2006Language - englishCOBISS.SI-ID - 14249305
Author
Dvořák, Zdeněk |
Škrekovski, Riste
Topics
matematika |
teorija grafov |
politop |
lahka povezava |
skrčljiva povezava |
3-povezani grafi |
ravninski grafi |
mathematics |
graph theory |
polytope |
light edge |
contractible edge |
3-connected graphs |
planar garphs
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 |
---|---|
Dvořák, Zdeněk | |
Škrekovski, Riste | 15518 |
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: