(t,i,j)-Cover: различия между версиями
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'''<math>(t,i,j)</math>-Cover''' — ''[[(t,i,j)-покрытие|<math>(t,i,j)</math>-покрытие]].'' | '''<math>\,(t,i,j)</math>-Cover''' — ''[[(t,i,j)-покрытие|<math>\,(t,i,j)</math>-покрытие]].'' | ||
Let <math>\,G = (V(G),E(G))</math> be a [[graph, undirected graph, nonoriented graph|graph]]. The set <math>\,S</math> of [[vertex|vertices]] is called a '''<math>\,(t,i,j)</math>-cover''' if every element of <math>\,S</math> belongs to exactly <math>\,i</math> balls of radius <math>\,t</math> centered at elements of <math>\,S</math> and every element of <math>\,V \setminus S</math> belongs to exactly <math>\,j</math> balls of radius <math>\,t</math> centered at elements of <math>\,S</math>. | Let <math>\,G = (V(G),E(G))</math> be a [[graph, undirected graph, nonoriented graph|graph]]. The set <math>\,S</math> of [[vertex|vertices]] is called a '''<math>\,(t,i,j)</math>-cover''' if every element of <math>\,S</math> belongs to exactly <math>\,i</math> balls of radius <math>\,t</math> centered at elements of <math>\,S</math> and every element of <math>\,V \setminus S</math> belongs to exactly <math>\,j</math> balls of radius <math>\,t</math> centered at elements of <math>\,S</math>. | ||
Текущая версия от 13:04, 10 марта 2017
[math]\displaystyle{ \,(t,i,j) }[/math]-Cover — [math]\displaystyle{ \,(t,i,j) }[/math]-покрытие.
Let [math]\displaystyle{ \,G = (V(G),E(G)) }[/math] be a graph. The set [math]\displaystyle{ \,S }[/math] of vertices is called a [math]\displaystyle{ \,(t,i,j) }[/math]-cover if every element of [math]\displaystyle{ \,S }[/math] belongs to exactly [math]\displaystyle{ \,i }[/math] balls of radius [math]\displaystyle{ \,t }[/math] centered at elements of [math]\displaystyle{ \,S }[/math] and every element of [math]\displaystyle{ \,V \setminus S }[/math] belongs to exactly [math]\displaystyle{ \,j }[/math] balls of radius [math]\displaystyle{ \,t }[/math] centered at elements of [math]\displaystyle{ \,S }[/math].
Литература
- Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009.