Whitney's theorem

English

Etymology

Introduced by Hassler Whitney (1907–1989), American mathematician.

Proper noun

Whitney's theorem

1. A theorem stating that two connected graphs are isomorphic if and only if their line graphs are isomorphic, with a single exception: K₃, the complete graph on three vertices, and the complete bipartite graph K_1,3, which are not isomorphic but both have K₃ as their line graph.

   Whitney's theorem can be extended to hypergraphs.