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  • V tomto článku uvádíme postačující podmínky pro distanční lokální souvislost grafu a podmínky na stupně pro lokální souvislost v k-souvislém grafu s velkým průměrem. Dále zkoumáme vztahy mezi číslem distanční lokální souvislosti a t-distančním chromatickým číslem grafu, a uvádíme horní odhad pro t-distanční chromatické číslo k-souvislého grafu s průměrem d. (cs)
  • In this paper, we give some sufficient conditions for distance local connectivity of a graph, and a degree condition for local connectivity of a k-connected graph with large diameter. We study some relationships between t-distance chromatic number and distance local connectivity of a graph and give an upper bound on the t-distance chromatic number of a k-connected graph with diameter d.
  • In this paper, we give some sufficient conditions for distance local connectivity of a graph, and a degree condition for local connectivity of a k-connected graph with large diameter. We study some relationships between t-distance chromatic number and distance local connectivity of a graph and give an upper bound on the t-distance chromatic number of a k-connected graph with diameter d. (en)
Title
  • On distance local connectivity and vertex distance colouring
  • On distance local connectivity and vertex distance colouring (en)
  • O distanční lokální souvislosti a distančním barvení vrcholů (cs)
skos:prefLabel
  • On distance local connectivity and vertex distance colouring
  • On distance local connectivity and vertex distance colouring (en)
  • O distanční lokální souvislosti a distančním barvení vrcholů (cs)
skos:notation
  • RIV/49777513:23520/07:00000121!RIV08-MSM-23520___
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  • 209
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  • P(1M0545), Z(MSM4977751301)
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  • 439214
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  • RIV/49777513:23520/07:00000121
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  • degree condition; distance local connectivity; distance chromatic number (en)
http://linked.open.../riv/klicoveSlovo
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  • PL - Polská republika
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  • [626FF13DC03D]
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  • Discussiones Mathematicae. Graph Theory
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  • Holub, Přemysl
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  • 1234-3099
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  • 23520
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