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A survey on packing coloringsBrešar, Boštjan ...Če je ▫$S=(a_1,a_2,\ldots)$▫ nepadajoče zaporedje naravnih števil, potem je ▫$S$▫-pakirno barvanje grafa ▫$G$▫ taka particija množice vozlišč ▫$V(G)$▫ na množice ▫$X_1,X_2, \ldots$▫, da je razdalja ... med vsakima različnima vozliščema poljubne množice ▫$X_i$▫ večja kot ▫$a_i$▫. Če obstaja tako število ▫$k$▫, da je ▫$V(G)=X_1\cup \cdots \cup X_k$▫, potem particijo imenujemo ▫$S$▫-pakirno ▫$k$▫-barvanje. Najmanjše tako število ▫$k$▫, da ▫$G$▫ premore ▫$S$▫-pakirno ▫$k$▫-barvanje imenujemo ▫$S$▫-pakirno kromatično število grafa ▫$G$▫. Če je ▫$a_i=i$▫ za vsa naravna števila ▫$i$▫, potem se izraza poenostavita v pakirno barvanje in pakirno kromatično število. Od vpeljave teh posplošitev kromatičnega števila v letu 2008 je bilo objavljenih preko 50 člankov na to temo. V tem članku naredimo pregled stanja na področju pakirnih barvanj in njihovih posplošitev ▫$S$▫-pakirnih barvanj. Predstavimo tudi več odprtih problemov in domnev.Source: Discussiones mathematicae. Graph theory. - ISSN 1234-3099 (Vol. 40, no. 4, 2020, str. 923-970)Type of material - article, component part ; adult, seriousPublish date - 2020Language - englishCOBISS.SI-ID - 23220483
Author
Brešar, Boštjan |
Ferme, Jasmina |
Klavžar, Sandi |
Rall, Douglas F.
Topics
pakirno barvanje |
pakirno kromatično število |
podkubični graf |
S-pakirno kromatično število |
računska zahtevnost |
packing coloring |
packing chromatic number |
subcubic graph |
S-packing chromatic number |
computational complexity
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source: Discussiones mathematicae. Graph theory. - ISSN 1234-3099 (Vol. 40, no. 4, 2020, str. 923-970)
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Brešar, Boštjan | 17005 |
Ferme, Jasmina | 50186 |
Klavžar, Sandi | 05949 |
Rall, Douglas F. | ![]() |
Source: Personal bibliographies
and: SICRIS
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