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Author: Marc Pouly

Affiliation: Cork Constraint Computation Center, University College Cork, Ireland

Keyword(s): Sparse path problems, Valuation algebras, Local computation, Tree-decomposition methods.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Biomedical Engineering ; Constraint Satisfaction ; Expert Systems ; Health Information Systems ; Knowledge Engineering and Ontology Development ; Knowledge Representation and Reasoning ; Knowledge-Based Systems ; Symbolic Systems

Abstract: This paper shows how sparse path problems can be solved by tree-decomposition techniques. We analyse the properties of closure matrices and prove that they satisfy the axioms of a valuation algebra, which is known to be sufficient for the application of generic tree-decomposition methods. Given a sparse path problem where only a subset of queries are required, we continually compute path weights of smaller graph regions and deduce the total paths from these results. The decisive complexity factor is no more the total number of graph nodes but the induced treewidth of the path problem.

CC BY-NC-ND 4.0

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Paper citation in several formats:
Pouly, M. (2010). A GENERIC APPROACH FOR SPARSE PATH PROBLEMS. In Proceedings of the 2nd International Conference on Agents and Artificial Intelligence - Volume 1: ICAART; ISBN 978-989-674-021-4; ISSN 2184-433X, SciTePress, pages 197-202. DOI: 10.5220/0002702701970202

@conference{icaart10,
author={Marc Pouly.},
title={A GENERIC APPROACH FOR SPARSE PATH PROBLEMS},
booktitle={Proceedings of the 2nd International Conference on Agents and Artificial Intelligence - Volume 1: ICAART},
year={2010},
pages={197-202},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002702701970202},
isbn={978-989-674-021-4},
issn={2184-433X},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Agents and Artificial Intelligence - Volume 1: ICAART
TI - A GENERIC APPROACH FOR SPARSE PATH PROBLEMS
SN - 978-989-674-021-4
IS - 2184-433X
AU - Pouly, M.
PY - 2010
SP - 197
EP - 202
DO - 10.5220/0002702701970202
PB - SciTePress