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  • We assign to each positive integer n a digraph whose set of vertices is H={0,1,...,n-1} and for which there is a directed edge from a..H to b.. H if a..b(mod n). We establish necessary and sufficient conditions for the existence of isolated fixed points. We also examine when the digraph is semiregular. Moreover, we present simple conditions for the number of components.
  • We assign to each positive integer n a digraph whose set of vertices is H={0,1,...,n-1} and for which there is a directed edge from a..H to b.. H if a..b(mod n). We establish necessary and sufficient conditions for the existence of isolated fixed points. We also examine when the digraph is semiregular. Moreover, we present simple conditions for the number of components. (en)
  • Každému přirozenému číslu n přiřadíme orientovaný graf s množinou vrcholů H={0,1,...,n-1} tak,že orientovaná hrana jde z a..H do b..H, když a .IDENT.b ( modu ). Stanovíme nutné a postačující podmínky pro existenci izolovaných pevných bodů. Také vyšetřujeme, kdy je orientovaný graf semiregulární. Navíc předkládáme jednoduché vztahy pro počet komponent a délky cyklů. (cs)
Title
  • On a connection of number theory with graph theory
  • O souvislosti teorie čísel s teorií grafů (cs)
  • On a connection of number theory with graph theory (en)
skos:prefLabel
  • On a connection of number theory with graph theory
  • O souvislosti teorie čísel s teorií grafů (cs)
  • On a connection of number theory with graph theory (en)
skos:notation
  • RIV/67985840:_____/04:00106883!RIV/2005/GA0/A05005/N
http://linked.open.../vavai/riv/strany
  • 465;485
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/02/1058), Z(AV0Z1019905)
http://linked.open...iv/cisloPeriodika
  • 2
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
  • 577694
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/04:00106883
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Fermat numbers;Chinese remainder theorem;primality (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [D9C6D382668B]
http://linked.open...i/riv/nazevZdroje
  • Czechoslovak Mathematical Journal
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
  • 54
http://linked.open...iv/tvurceVysledku
  • Křížek, Michal
  • Somer, L.
http://linked.open...n/vavai/riv/zamer
issn
  • 0011-4642
number of pages
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