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Subdivision into ▫$i$▫-packings and ▫$S$▫-packing chromatic number of some latticesGastineau, Nicolas ; Kheddouci, Hamamache ; Togni, OlivierMnožici vozlišč grafa ▫$G$▫, paroma oddaljenih za več kot ▫$i$▫, pravimo ▫$i$▫-pakiranje. Če je ▫$S=(s_1,s_2,\ldots)$▫ nepadajoče zaporedje celih števil, potem je ▫$S$▫-pakirno kromatsko število ... grafa ▫$G$▫ najmanjše celo število ▫$k$▫, pri katerem obstaja barvanje grafa ▫$G$▫ s ▫$k$▫ barvami, v katerem vsaka množica vozlišč, pobarvanih z barvo ▫$i$▫, ▫$i=1,\ldots,k$▫, predstavlja ▫$s_i$▫-pakiranje. Članek opisuje različne podrazdelitve ▫$i$▫-pakiranj na ▫$j$▫-pakiranja ▫$(j>i)$▫ za šestkotniške, kvadratne in trikotniške mreže. Ti rezultati nam omogočajo omejiti ▫$S$▫-pakirno kromatsko število teh grafov in določiti natančnejše meje in natančne vrednosti za zaporedja ▫$S=(s_i,i \in \mathbb{N}^*)$▫, ▫$s_i = d+ \lfloor (i-1)/n \rfloor$▫.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 9, no. 2, 2015, str. 321-344)Type of material - article, component partPublish date - 2015Language - englishCOBISS.SI-ID - 17609561
Author
Gastineau, Nicolas |
Kheddouci, Hamamache |
Togni, Olivier
Topics
pakirno kromatsko število |
i-pakiranje |
šestkotniška mreža |
kvadratna mreža |
trikotniška mreža |
razdaljno barvanje |
packing chromatic number |
i-packing |
hexagonal lattice |
square lattice |
triangular lattice |
distance coloring
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Gastineau, Nicolas | ![]() |
Kheddouci, Hamamache | ![]() |
Togni, Olivier | ![]() |
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