# Chromatic-Index-Critical Graphs of Orders 11 and 12

@article{Brinkmann1998ChromaticIndexCriticalGO, title={Chromatic-Index-Critical Graphs of Orders 11 and 12}, author={Gunnar Brinkmann and Eckhard Steffen}, journal={Eur. J. Comb.}, year={1998}, volume={19}, pages={889-900} }

Abstract A chromatic-index-critical graphGonnvertices is non-trivial if it has at most Δ ⌊ n 2 ⌋ edges. We prove that there is no chromatic-index-critical graph of order 12, and that there are precisely two non-trivial chromatic-index-critical graphs on 11 vertices. Together with known results this implies that there are precisely three non-trivial chromatic-index-critical graphs of order ≤12.

## 26 Citations

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