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Консультация № 189266
25.04.2016, 17:22
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
В графе Г 50 вершин, степень каждой вершины равна трём. Чему равно цикломатическое число графа Г?
Заранее спасибо!
В графе Г 50 вершин, степень каждой вершины равна трём. Чему равно цикломатическое число графа Г?
Заранее спасибо!
Обсуждение
26.04.2016, 06:19
общий
это ответ
Здравствуйте, plaob!
Пусть имеем граф [$915$], содержащий n вершин, r рёбер и состоящий из p компонент связности. Тогда цикломатическое число графа, определяется формулой:
Для графа, степень каждой вершины которого равна k (k-регулярного графа) выполняется соотношение
откуда
и
В данном случае n = 50, k = 3, число компонент связности не указано, поэтому предположим, что p = 1 (связный граф). Тогда
Пусть имеем граф [$915$], содержащий n вершин, r рёбер и состоящий из p компонент связности. Тогда цикломатическое число графа, определяется формулой:
Для графа, степень каждой вершины которого равна k (k-регулярного графа) выполняется соотношение
откуда
и
В данном случае n = 50, k = 3, число компонент связности не указано, поэтому предположим, что p = 1 (связный граф). Тогда
5
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