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'''Circular-arc graph''' | '''Circular-arc graph''' — ''[[граф дуг окружности]].'' | ||
A '''circular-arc graph''' is the intersection graph of a family of arcs on a | A '''circular-arc graph''' is the [[intersection graph]] of a family of [[arc|arcs]] on a | ||
circle; that is, for each vertex <math>v_{i}</math> there is a (closed) | circle; that is, for each [[vertex]] <math>\,v_{i}</math> there is a (closed) | ||
arc <math>a_{i}</math> of the circle such that <math>v_{i}</math> and <math>v_{j}</math> are adjacent | arc <math>\,a_{i}</math> of the circle such that <math>\,v_{i}</math> and <math>\,v_{j}</math> are [[adjacent vertices|adjacent]] if and only if <math>a_{i} \cap a_{j} \neq \emptyset</math>. | ||
if and only if <math>a_{i} \cap a_{j} \neq \emptyset</math>. | |||
==Литература== | |||
* Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009. |