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  • Let G be a finite and simple graph with the vertex set V (G), and let f : V (G) -> {-1, 1} be a two-valued function. If Sigma(x is an element of N[nu]) f(x) >= 1 for each nu E V (G), where N[nu] is the closed neighborhood of v, then f is a signed dominating function on G. A set {f(1), f(2),..., f(d)} of signed dominating functions on G with the property that Sigma(i=1)(d) fi (x) <= 1 for each x is an element of V (G), is called a signed dominating family (of functions) on G. The maximum number of functions in a signed dominating family on G is the signed domatic number on G, denoted by d(S) (G). The properties of the signed domatic number d(S) (G) are studied in this paper. In particular, we determine the signed domatic number of complete graphs, cycles, fans, and wheels.
  • Let G be a finite and simple graph with the vertex set V (G), and let f : V (G) -> {-1, 1} be a two-valued function. If Sigma(x is an element of N[nu]) f(x) >= 1 for each nu E V (G), where N[nu] is the closed neighborhood of v, then f is a signed dominating function on G. A set {f(1), f(2),..., f(d)} of signed dominating functions on G with the property that Sigma(i=1)(d) fi (x) <= 1 for each x is an element of V (G), is called a signed dominating family (of functions) on G. The maximum number of functions in a signed dominating family on G is the signed domatic number on G, denoted by d(S) (G). The properties of the signed domatic number d(S) (G) are studied in this paper. In particular, we determine the signed domatic number of complete graphs, cycles, fans, and wheels. (en)
Title
  • Signed domatic number of a graph
  • Signed domatic number of a graph (en)
skos:prefLabel
  • Signed domatic number of a graph
  • Signed domatic number of a graph (en)
skos:notation
  • RIV/46747885:24510/05:#0000229!RIV10-MSM-24510___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 245100302)
http://linked.open...iv/cisloPeriodika
  • 3
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
  • 542590
http://linked.open...ai/riv/idVysledku
  • RIV/46747885:24510/05:#0000229
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • signed domatic number; signed dominating function; signed domination number (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [64A0FF2FC286]
http://linked.open...i/riv/nazevZdroje
  • DISCRETE APPLIED MATHEMATICS
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 150
http://linked.open...iv/tvurceVysledku
  • Zelinka, Bohdan
  • Volkmann, Lutz
http://linked.open...ain/vavai/riv/wos
  • 961VU
http://linked.open...n/vavai/riv/zamer
issn
  • 0166-218X
number of pages
http://localhost/t...ganizacniJednotka
  • 24510
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