Thursday, April 30, 2009

Tadpoles


Tadpoles are graphs made of cycles and paths. The smallest tadpole is made of a cycle on three vertices joined with a path with just one edge. Bigger tadpoles can be obtained by making the cycle larger and/or the path longer. When the tail of the tadpole is made of just one edge, the graph is also known as a pan graph, with the tail playing the role of a pan-handle. Tadpole graphs have been mentioned in the physics literature and seem to date back to Feynman.

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