Other Properties
The Petersen graph:
- is 3-connected and hence 3-edge-connected and bridgeless. See the glossary.
- has independence number 4 and is 3-partite. See the glossary.
- is cubic, has domination number 3, and has a perfect matching and a 2-factor.
- is the smallest cubic graph of girth 5. (It is the unique -cage. In fact, since it has only 10 vertices, it is the unique -Moore graph.)
- has radius 2 and diameter 2. It is the largest cubic graph with diameter 2.
- has graph spectrum −2, −2, −2, −2, 1, 1, 1, 1, 1, 3.
- has 2000 spanning trees, the most of any 10-vertex cubic graph.
- has chromatic polynomial
- has characteristic polynomial, making it an integral graph—a graph whose spectrum consists entirely of integers.
Read more about this topic: Petersen Graph
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