Titlebook: LATIN‘98: Theoretical Informatics; Third Latin American Cláudio L. Lucchesi,Arnaldo V. Moura Conference proceedings 1998 Springer-Verlag Be

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Faster non-linear parametric search with applications to optimization and dynamic geometry,tion on weighted graphs and to two problems in dynamic geometry on points moving in straight-line trajectories: computing the minimum diameter over all time and finding the time at which the length of the maximum spanning tree is minimized.

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An Eilenberg theorem for words on countable ordinals,emigroup, is an adaptation of the one used in the theory of regular languages of Ω-words. We show that finite Ω.-semigroups are equivalent to automata. In particular, the proof gives a new algorithm for determinizing automata on countable ordinals. As in the cases of finite and Ω-words, a syntactic

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Maximal groups in free Burnside semigroups,tisfying . .=1. We show that such group is free over a well described set of generators whose cardinality is the cyclomatic number of a graph associated to the ℑ-class containing the group. For .=2 and for every . ≥ 2 we present examples with 2.−1 generators. Hence, in these cases, we have infinite

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Positive varieties and infinite words, this paper, we extend this theory for classes of languages that are closed under union and intersection, but not necessarily under complement. As an example, we give a purely algebraic characterization of various classes of recognizable sets defined by topological properties (open, closed, . . and

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