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A Different Short Proof of Brooks’ Theorem

Landon Rabern — 2014

Discussiones Mathematicae Graph Theory

Lovász gave a short proof of Brooks’ theorem by coloring greedily in a good order. We give a different short proof by reducing to the cubic case.

The Borodin-Kostochka conjecture for graphs containing a doubly critical edge.

Rabern, Landon — 2007

The Electronic Journal of Combinatorics [electronic only]

A strengthening of Brooks' Theorem for line graphs.

Rabern, Landon — 2011

The Electronic Journal of Combinatorics [electronic only]

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