Geodesic
An inductive proof of Whitney's Broken Circuit Theorem
Discussiones Mathematicae. Graph Theory, Tome 31 (2011) no. 3, pp. 509-515

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We present a new proof of Whitney's broken circuit theorem based on induction on the number of edges and the deletion-contraction formula.
Keywords: chromatic polynomial, broken circuit, induction 
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     author = {Dohmen, Klaus},
     title = {An inductive proof of {Whitney's} {Broken} {Circuit} {Theorem}},
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Dohmen, Klaus. An inductive proof of Whitney's Broken Circuit Theorem. Discussiones Mathematicae. Graph Theory, Tome 31 (2011) no. 3, pp. 509-515. http://geodesic.mathdoc.fr/item/DMGT_2011_31_3_a6/