锦标赛图表问题
锦标赛图与有向完全图一样吗? 并且,锦标赛图中的所有顶点是否具有相同数量的边?
Is a tournament graph the same thing as a directed complete graph? And, do all vertices in a tournament graph have the same number of edges?
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除非我遗漏了一些明显的东西,否则你的两个问题的答案都是“是”。
锦标赛图被定义为一个完整的图,并为边缘选择了方向。 因此它是一个有向完全图。
维基百科对锦标赛图的定义
,因为完整的图在每个顶点之间都有一条边,那么每个顶点都有相同数量的边,并且当为边选择方向时,这不会改变。
完整图的维基百科定义
Unless I'm missing something obvious then the answer to both your questions is "yes"
A tournament graph is defined as a complete graph with a direction chosen for the edges. Hence it is a directed complete graph.
Wikipedia definition of a Tournament Graph
and since a complete graph has an edge between each vertex, then every vertex has the same number of edges, and this doesn't change when a direction is chosen for the edge.
Wikipedia definition of a Complete Graph