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  • 1
    Electronic Resource
    Electronic Resource
    Some order dimension bounds for communication complexity problems (1991)
    Springer
    Acta informatica 28 (1991), S. 593-601 
    Details
    ISSN: 1432-0525
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Summary We associate with a general (0, 1)-matrixM an ordered setP(M) and derive lower and upper bounds for the deterministic communication complexity ofM in terms of the order dimension ofP(M). We furthermore consider the special class of communication matricesM obtained as cliques vs. stable sets incidence matrices of comparability graphsG. We bound their complexity byO((logd)·(logn)), wheren is the number of nodes ofG andd is the order dimension of an orientation ofG. In this special case, our bound is shown to improve other well-known bounds obtained for the general cliques vs. stable set problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01463947
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