5 research outputs found
Testing avoidability on sets of partial words is hard
We prove that the problem of deciding whether a finite set of partial words is unavoidable is NP-hard for any alphabet of size larger than or equal to two, which is in contrast with the well-known feasability results for unavoidability of a set of full words. We raise some related questions on avoidability of sets of partial words
Number of Holes in Unavoidable Sets of Partial Words II
We are concerned with the complexity of deciding the avoidability of sets of partial words over an arbitrary alphabet. Towards this, we investigate the minimum size of unavoidable sets of partial words with a fixed number of holes. Additionally, we analyze the complexity of variations on the decision problem when placing restrictions on the number of holes and length of the words
Number of Holes in Unavoidable Sets of Partial Words II *
Abstract We are concerned with the complexity of deciding the avoidability of sets of partial words over an arbitrary alphabet. Towards this, we investigate the minimum size of unavoidable sets of partial words with a fixed number of holes. Additionally, we analyze the complexity of variations on the decision problem when placing restrictions on the number of holes and length of the words
Testing avoidability on sets of partial words is hard
We prove that the problem of deciding whether a finite set of partial words is unavoidable is NP-hard for any alphabet of size larger than or equal to two, which is in contrast with the well-known feasability results for unavoidability of a set of full words. We raise some related questions on avoidability of sets of partial words. (C) 2008 Elsevier B.V. All rights reserved