About: A note on edge-colourings avoiding rainbow K_4 and monochromatic K_m     Goto   Sponge   NotDistinct   Permalink

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Description
  • We study the mixed Ramsey number maxR(n,K_m,K_r), defined as the maximum number of colours in an edge-colouring of the complete graph K_n, such that K_n has no monochromatic complete subgraph on m ver- tices and no rainbow complete subgraph on r vertices. Improving an up- per bound of Axenovich and Iverson, we show that maxR(n,K_m,K_4) n^{3/2}\sqrt{2m} for all m >= 3. Further, we discuss a possible way to improve their lower bound on maxR(n,K_4,K_4) based on incidence graphs of finite projective planes.
  • We study the mixed Ramsey number maxR(n,K_m,K_r), defined as the maximum number of colours in an edge-colouring of the complete graph K_n, such that K_n has no monochromatic complete subgraph on m ver- tices and no rainbow complete subgraph on r vertices. Improving an up- per bound of Axenovich and Iverson, we show that maxR(n,K_m,K_4) n^{3/2}\sqrt{2m} for all m >= 3. Further, we discuss a possible way to improve their lower bound on maxR(n,K_4,K_4) based on incidence graphs of finite projective planes. (en)
Title
  • A note on edge-colourings avoiding rainbow K_4 and monochromatic K_m
  • A note on edge-colourings avoiding rainbow K_4 and monochromatic K_m (en)
skos:prefLabel
  • A note on edge-colourings avoiding rainbow K_4 and monochromatic K_m
  • A note on edge-colourings avoiding rainbow K_4 and monochromatic K_m (en)
skos:notation
  • RIV/49777513:23520/09:00501603!RIV10-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), P(GA201/09/0197), Z(MSM0021620838), Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 301443
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/09:00501603
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • mixed Ramsey number; monochromatic subgraph; rainbow subgraph (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [B83EFD0CFBCB]
http://linked.open...i/riv/nazevZdroje
  • Electronic Journal of Combinatorics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 16
http://linked.open...iv/tvurceVysledku
  • Kaiser, Tomáš
  • Král', Daniel
  • Jungic, Veselin
http://linked.open...n/vavai/riv/zamer
issn
  • 1077-8926
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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