Errata for:
Carol T. Zamfirescu
Hypohamiltonian graphs and their crossing number
Electron. J. Combin. 19, Iss. 4 (2012) #P12
On page 2, in the second paragraph, the indices should start at 0 and end at n - 1.
On page 3, in cases (i) and (ii) on lines -8 to -4, it should be H_v, not H.
On page 4, Lemma 4 is given without proof. I am not satisfied with the proof I have, so please
replace this result with the following. The lemma below provides all necessary ingredients for
the proof of the main theorem. Unfortunately, it is not sufficient for the claims made in the
penultimate paragraph of the manuscript--this paragraph should be deleted.
Lemma. If a graph G contains k pairwise edge-disjoint copies of subgraphs homeomorphic to K_{3,3},
then cr(G) \ge k.
Proof. Let us assume that cr(G) = \ell < k. In G, we can delete (at most) \ell edges
such that the (possibly disconnected) graph we obtain is planar. Since \ell < k,
in at least one copy of K_{3,3} no edge was deleted--a contradiction, since K_{3,3} is
non-planar.
On page 6, line -6 it should be: for every even n \ge 74, not "for every n \ge 76" as stated in the paper.
In consequence, on line -5 it should be \{(H^n)^\star\}_{n=74}^\infty, and at the end of the line 76, not 78.