Chromatic index critical graphs of order 9.

Chetwynd, Amanda G. and Yap, H. P. (1983) Chromatic index critical graphs of order 9. Discrete Mathematics, 47 (1). pp. 23-33. ISSN 0012-365X

Abstract

We prove that a 2-connected graph of order 9 having maximum valency Δ 4 is chromatic index critical if and only if its valency-list is one of the following: 248, 3247 (except one graph), 258, 3457, 4356, 268, 3567, 4267, 45266, 5465, 278, 3677, 4577, 46276, 52676, 56375, 6574, 57385, 6386, 627285, 67484 and 7683. This, together with known results, provide a complete catalogue of all chromatic index critical graphs of order 10.