ALL libraries (COBIB.SI union bibliographic/catalogue database)
13.
2-distance, injective, and exact square list-coloring of planar graphs with maximum degree 4
La, Hoang ; Štorgel, Kenny
In the past various distance based colorings on planar graphs were introduced. We turn our focus to three of them, namely ▫$2$▫-distance coloring, injective coloring, and exact square coloring. A ...▫$2$▫-distance coloring is a proper coloring of the vertices in which no two vertices at distance ▫$2$▫ receive the same color, an injective coloring is a coloring of the vertices in which no two vertices with a common neighbor receive the same color, and an exact square coloring is a coloring of the vertices in which no two vertices at distance exactly ▫$2$▫ receive the same color. We prove that planar graphs with maximum degree ▫$\Delta = 4$▫ and girth at least ▫$4$▫ are ▫$2$▫-distance list ▫$(\Delta + 7)$▫-colorable and injectively list ▫$(\Delta + 5)$▫-colorable. Additionally, we prove that planar graphs with ▫$\Delta = 4$▫ are injectively list ▫$(\Delta + 7)$▫-colorable and exact square list ▫$(\Delta + 6)$▫-colorable.
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.
