(i) upon a conviction or finding of a serious traffic violation as defined in subdivision two of this section, when such violation was committed while the holder had a class DJ or class MJ learner's permit or a class DJ or MJ license; or

(ii) upon the second conviction or finding of such permit or license holder of a violation of any other provision of this chapter or any other law, ordinance, order, rule or regulation relating to traffic, and when such violation was committed while such holder had a class DJ or class MJ learner's permit or a class DJ or MJ license.

(b) A learner's permit or a driver's license shall be revoked for a period of sixty days upon the conviction or finding of the permit or license holder of a violation or violations, committed within six months after the restoration of such permit or license suspended pursuant to paragraph (a) of this subdivision, which convictions or findings would result in the suspension of such permit or license pursuant to paragraph (a) of this subdivision. 2. For purposes of this section, the term "serious traffic violation" shall mean operating a motor vehicle in violation of any of the following provisions of this chapter: articles twenty-five and twenty-six; subdivision one of section six hundred; section six hundred one; sections eleven hundred eleven, eleven hundred seventy, eleven hundred seventy-two and eleven hundred seventy-four; subdivisions (a), (b), (c), (d) and (f) of section eleven hundred eighty, provided that the violation involved ten or more miles per hour over the established limit; section eleven hundred eighty-two; subdivision three-a of section twelve hundred twenty-nine-c for violations involving use of safety belts or seats by a child under the age of sixteen; and section twelve hundred twelve of this chapter. 3. Any suspension or revocation required for a violation of section twelve hundred twenty-five-c or section twelve hundred twenty-five-d of this chapter shall be subject to the provisions of subdivisions two and six of section five hundred ten of this article.