@inproceedings{228bfaacbe454dc18fcf0e1e20be6101,
title = "Ordering Spatio-Temporal Sequences to Meet Transition Constraints: Complexity and Framework: 11th IFIP WG 12.5 International Conference, AIAI 2015, Bayonne, France, September 14–17, 2015, Proceedings",
abstract = "Time and space are fundamental concepts of study in Artificial Intelligence and, in particular, Knowledge Representation. In this paper, we investigate the task of ordering a temporal sequence of qualitative spatial configurations to meet certain transition constraints. This ordering is constrained by the use of conceptual neighbourhood graphs defined on qualitative spatial constraint languages. In particular, we show that the problem of ordering a sequence of qualitative spatial configurations to meet such transition constraints is NP-complete for the the well known languages of RCC-8, Interval Algebra, and Block Algebra. Based on this result, we also propose a framework where the temporal aspect of a sequence of qualitative spatial configurations is constrained by a Point Algebra network, and again show that the enhanced problem is in NP when considering the aforementioned languages. Our results lie within the area of Graph Traversal and allow for many practical and diverse applications, such as identifying optimal routes in mobile robot navigation, modelling changes of topology in biological processes, and computing sequences of segmentation steps used in image processing algorithms.",
author = "Michael Sioutis and Jean-Fran{\c c}ois Condotta and Yakoub Salhi and Bertrand Mazure and David Randell",
year = "2015",
doi = "10.1007/978-3-319-23868-5_10",
language = "English",
isbn = "978-3-319-23867-8",
volume = "458",
series = " IFIP Advances in Information and Communication Technology",
publisher = "Springer",
pages = "130--150",
editor = "{Chbeir }, Richard and Yannis Manolopoulos and Ilias Maglogiannis and Reda Alhajj",
booktitle = "Artificial Intelligence Applications and Innovations",
note = "11th IFIP WG 12.5 International Conference, Artificial Intelligence Applications and Innovations 2015 ; Conference date: 14-09-2015 Through 17-09-2015",
}