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On the Exhaustive Generation of k-Convex Polyominoes

  • Autori: Brocchi, S; Castiglione, G; Massazza, P
  • Anno di pubblicazione: 2014
  • Tipologia: eedings
  • Parole Chiave: Convexity, K-convex polyominoes.
  • OA Link:


In this paper we present a simple algorithm for computing the degree of convexity of a convex polyomino, defined as the smallest integer k such that any two cells of P can be joined by a monotone path inside P with at most k changes of direction. We show how it can be used to obtain an efficient algorithm for computing all k-convex polyominoes of size n. More precisely, such an algorithm uses space O(n) and runs in constant amortized time.