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On the Complexity of Deadlock Detection in Families of Planar Nets (1995)  (Make Corrections)  
Bruno Durand, Anne-Cécile Fabret
Theoretical Computer Science



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Abstract: We are interested in some properties of massively parallel computers that we model by finite automata connected together as a 2-dimensional grid. We wonder whether it is possible to anticipate a possible appearance of a deadlock in such nets. Thus, we look for efficient algorithms to predict whether deadlocks can appear in grids of bounded size. From the point of view of worst-case complexity, we prove that this problem is NPcomplete whereas it is quadratic for linear structures. The... (Update)

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BibTeX entry:   (Update)

@article{ durand99complexity,
    author = "Bruno Durand and Anne-C{\'e}cile Fabret",
    title = "On the complexity of deadlock detection in families of planar nets",
    journal = "Theoretical Computer Science",
    volume = "215",
    number = "1--2",
    pages = "225--237",
    year = "1999",
    url = "citeseer.ist.psu.edu/durand95complexity.html" }
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7   Simulations between cellular automata on Cayley graphs (context) - R'oka - 1995
2   A Random NP-complete problem for inversion of 2D cellular au.. (context) - Durand - 1995
2   A Random NP-complete problem for inversion of 2D cellular au.. (context) - Durand - 1995
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1   Detection of deadlocks in an infinite family of nets (context) - Beauquier, Choquet et al. - 1991
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