Packing chromatic number versus chromatic and clique number
Brešar, Boštjan ...
Pakirno kromatično število ▫$\chi_{\rho}(G)$▫ grafa ▫$G$▫ je najmanjše pozitivno celo število ▫$k$▫, tako da lahko množico vozlišč grafa ▫$G$▫ razdelimo v množice ▫$V_i$▫, ▫$i \in [k]$▫, kjer je ...množica ▫$V_i$▫ t.i. ▫$i$▫-pakiranje. V članku za dane trojice pozitvnih celih števil ▫$(a,b,c)$▫ raziskujemo, ali obstaja graf ▫$G$▫, za katerega velja ▫$\omega(G) = a$▫, ▫$\chi(G) = b$▫, in ▫$\chi_{\rho}(G) = c$▫. Če je odgovor pritrdilen, pravimo, da je trojica ▫$(a, b, c)$▫ uresničljiva. Dokažemo, da iz ▫$ b=c\ge 3$▫ sledi ▫$a=b$▫ ter da trojice ▫$(2,k,k+1)$▫ in ▫$(2,k,k+2)$▫ niso uresničljive, brž ko je ▫$k\ge 4$▫. Nekateri izmed dobljenih rezultatov so izpeljani iz meja, ki jih dokažemo za pakirno kromatično število grafov Mycielskega. Za slednje grafe je dokazana tudi formula za nedvisnostno število. Dokazana je tudi spodna meja za ▫$\chi_{\rho}(G)$▫, ki je izražena z ▫$\Delta(G)$▫ in ▫$\alpha(G)$▫.
It was not necessary to add the material to the shelf.
Bibliographic material was successfully added on shelf.
Adding bibliographical material on shelf was not successful.
Material is already on the shelf.
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:
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
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.
