(t,i,j)-Cover

[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.