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单词 Peterson graph
释义

Peterson graph

中文百科

佩特森图 Petersen graph

(重定向自Peterson graph)
交叉数为2


佩特森图是一个特定的图。朱利叶斯·佩特森在1898年构作它。虽然它以佩特森命名,但1886年已有人提及它了。

  • 强正则图
  • 半径同直径均为2
  • 点色数为3,边色数为4。它是1898年至1946年期间,数学家唯一知道的snark。
  • 非平面图:子图有完全图K_5和完全双分图K_{3,3},交叉数为2。
  • 有哈密顿路径而无哈密顿圈。
  • KG_{5,2}(Kneser图)
  • 单位距离图
  • K_5的线图的补图
  • 交叉数为2
英语百科

Petersen graph 佩特森图

(重定向自Peterson graph)
The Petersen graph has crossing number 2 and is 1-planar.
The Petersen graph is a unit distance graph: it can be drawn in the plane with each edge having unit length.

In the mathematical field of graph theory, the Petersen graph is an undirected graph with 10 vertices and 15 edges. It is a small graph that serves as a useful example and counterexample for many problems in graph theory. The Petersen graph is named after Julius Petersen, who in 1898 constructed it to be the smallest bridgeless cubic graph with no three-edge-coloring.

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更新时间:2025/6/16 23:37:04