Contents

Generalized Hooked, Extended, and Near-Skolem Sequences

N. Shalaby1, M.A. Al-Gwaiz 2
1 Department of Mathematics and Statistics Memorial University of Newfoundland St. John’s, Newfoundland Canada, A1C 587
2Department of Mathematics College of Science King Saud University Riyadh 1145, P.O. Box 2455 Kingdom of Saudi Arabia

Abstract

We introduce generalized hooked, extended, and near-Skolem sequences and determine necessary conditions for their existence, the minimum number of hooks, and their permissible locations. We also produce computational results for small orders in each case.