C. Àlvarez

Publications52
h-index13
Citations589
Highly Influential Citations45
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A Very Hard log-Space Counting Class
TLDR
It is demonstrated that span-L functions can be computed in polynomial time if and only if P (#P) and all the classes of the polynometric-time hierarchy are included in P. Expand
A Characterization of Universal Stability in the Adversarial Queuing Model
TLDR
It is shown that variations of the allowed packet trajectory lead to nonequivalent characterizations, which are able to provide polynomial time algorithms for testing stability under the \NTGLIS (Nearest To Go-Longest In System) protocol. Expand
Pure Nash Equilibria in Games with a Large Number of Actions
TLDR
It is shown that deciding the existence of a Nash equilibrium in a strategic game is NP-complete when the number of players is large and the number and size of strategies for each player is constant, while the problem is Σ$^{p}_{\rm 2}$- complete when the Number of Players is a constant and the size of the sets of strategies is exponential. Expand
A very hard log space counting class
TLDR
It is demonstrated that span-L-functions can be computed in polynomial time if and only if P=NP=PH=P( Hash P), i.e if the class P(Hash P) and all the classes of thePolynomial-time hierarchy are contained in P. Expand
Network Creation Games: Structure vs Anarchy
TLDR
In this paper, new insights are given into the structure of the Nash equilibria for different ranges of $\alpha$ and the range for which the price of anarchy is constant is enlarged. Expand
Universal stability of undirected graphs in the adversarial queueing model
TLDR
It is shown that universal stability of digraphs, in the case in which packets follow directed paths without repeating vertices, can be decided in polynomial time, and is equivalent to \NTGLIS-stability, in all the cases. Expand
Adversarial Models for Priority-Based Networks
TLDR
The problem of deciding stability of a given network under a fixed protocol can be solved in polynomial time and a characterization of the networks that are stable under fifo and lis in the failure model is provided. Expand
Polynomial Space Suffices for Deciding Nash Equilibria Properties for Extensive Games with Large Trees,
TLDR
This paper proposes three ways of representing a game with different degrees of succinctness for the components of the game and shows that when the number of moves of each player is large and the player function and the utilities are represented succinctly the considered problems are PSPACE-complete. Expand
Adaptive logspace reducibility and parallel time
TLDR
By imposing appropriate bounds on the number of functional oracle queries made in this computation model, this work obtains new characterizations of the NC and AC hierarchies and solves open questions of Wilson. Expand
Parallel Complexity in the Design and Analysis on Conurrent Systems
TLDR
It is shown that the first two problems can be efficiently parallelized, allowing logarithmic time Parallel RAM algorithms and even constant time unbounded fan-in circuits with threshold gates, however, lower bounds imply that they cannot be solved in constant time by a PRAM algorithm. Expand
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