Vizing's conjecture: a survey and recent results

Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.

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Naslov:	Vizing's conjecture: a survey and recent results
Avtorji:	ID Brešar, Boštjan (Avtor) ID Dorbec, Paul (Avtor) ID Goddard, Wayne (Avtor) ID Hartnell, Bert L. (Avtor) ID Henning, Michael A. (Avtor) ID Klavžar, Sandi (Avtor) ID Rall, Douglas F. (Avtor)
Datoteke:	http://www.imfm.si/preprinti/PDF/01099.pdf
Jezik:	Angleški jezik
Vrsta gradiva:	Delo ni kategorizirano
Organizacija:	FNM - Fakulteta za naravoslovje in matematiko
Opis:	Vizing's conjecture from 1968 asserts that the domination number of the Cartesian product of two graphs is at least as large as the product of their domination numbers. In this paper we survey the approaches to this central conjecture from domination theory and give some new results along the way. For instance, several new properties of a minimal counterexample to the conjecture are obtained and a lower bound for the domination number is proved for products of claw-free graphs with arbitrary graphs. Open problems, questions and related conjectures are discussed throughout the paper.
Ključne besede:	matematika, teorija grafov, kartezični produkt, dominacija, Vizingova domneva, mathematics, graph theory, Caretesian product, domination, Vizing's conjecture
Leto izida:	2009
Št. strani:	str. 1-29
Številčenje:	Vol. 47, št. 1099
PID:	20.500.12556/DKUM-51799
ISSN:	1318-4865
UDK:	519.17
COBISS.SI-ID:	15246169
NUK URN:	URN:SI:UM:DK:J6OZ4DZV
Datum objave v DKUM:	10.07.2015
Število ogledov:	1365
Število prenosov:	100
Metapodatki:
Področja:	Ostalo
:	BREŠAR, Boštjan, DORBEC, Paul, GODDARD, Wayne, HARTNELL, Bert L., HENNING, Michael A., KLAVŽAR, Sandi in RALL, Douglas F., 2009, Vizing’s conjecture: a survey and recent results [na spletu]. 2009. [Dostopano 2 april 2025]. Pridobljeno s: http://www.imfm.si/preprinti/PDF/01099.pdf Kopiraj citat