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16  Articles
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We investigate the apparent difficulty of finding domatic partitions in graphs using tools from computability theory.  We consider nicely presented (i.e., computable) infinite graphs and show that even if the domatic number is known, there might not ... see more



Various metamathematical investigations, beginning with Fraenkel’s historical proof of the independence of the axiom of choice, called for suitable de?nitions of hierarchical universes of sets. This led to the discovery of such important cumulative struct... see more

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Este es el primer ensayo, de una serie de dos, en los que se quiere presentar visiones panorámicas de la noción de computabilidad de dos nuevos paradigmas de computación. A saber, la computación cuántica y la computación basada en ADN o molecular, así com... see more

This paper attempts to define a general framework for computability on an arbitrary topological space X . The elements of X are taken as primitives in this approach—also for the coding of functions — and, except when X = N, the natural numbers are ... see more

The evolution of the concept of function at the beginning of the 20th century in France after the definitions by Dirichlet and Riemann and the introduction of several pathological functions is studied. Some young mathematicians of those years (Baire, know... see more

With a motivation related to gene expression, where enzymes act in series, somewhat similar to the train spikes traveling along the axons of neurons, we consider an extension of spiking neural P systems, where several types of “spikes" are allowed. The po... see more

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