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MFCS
2004
Springer
13 years 11 months ago
Crossing Number Is Hard for Cubic Graphs
It was proved by [Garey and Johnson, 1983] that computing the crossing number of a graph is an NP-hard problem. Their reduction, however, used parallel edges and vertices of very h...
Petr Hlinený
AIPS
2009
13 years 7 months ago
The Influence of k-Dependence on the Complexity of Planning
A planning problem is k-dependent if each action has at most k pre-conditions on variables unaffected by the action. This concept is well-founded since k is a constant for all but...
Omer Giménez, Anders Jonsson
AIPS
2009
13 years 7 months ago
Inference and Decomposition in Planning Using Causal Consistent Chains
Current state-of-the-art planners solve problems, easy and hard alike, by search, expanding hundreds or thousands of nodes. Yet, given the ability of people to solve easy problems...
Nir Lipovetzky, Hector Geffner
SAS
2009
Springer
212views Formal Methods» more  SAS 2009»
14 years 6 months ago
The Causal Graph Revisited for Directed Model Checking
Directed model checking is a well-established technique to tackle the state explosion problem when the aim is to find error states in large systems. In this approach, the state spa...
Martin Wehrle, Malte Helmert
AIPS
2010
13 years 8 months ago
Action Elimination and Plan Neighborhood Graph Search: Two Algorithms for Plan Improvement
Compared to optimal planners, satisficing planners can solve much harder problems but may produce overly costly and long plans. Plan quality for satisficing planners has become in...
Hootan Nakhost, Martin Müller 0003