J. Grau

activity

20102025

most citedOn the diameter of the commuting graph of the full matrix ring over the real numbers

9 citations · 36 across the 31 of their papers we have counts for

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3 papers · 1 filter

math.OC2025

Nash Equilibria in the Showcase Showdown game with unlimited spins

L. Bayón, P. Fortuny ayuso, J. M. Grau +2

The game of \emph{Showcase Showdown} with unlimited spins is investigated as an $n$ -players continuous game, and the Nash Equilibrium strategies for the players are obtained. The s…

math.CO2025★ 2 cited

A class of weighted Delannoy numbers

J. M. Grau, A. M Oller-Marcen, J. L. Varona

The weighted Delannoy numbers are defined by the recurrence relation $f_{m, n} = α f_{m - 1, n} + β f_{m, n - 1} + γ f_{m - 1, n - 1}$ if $mn > 0$ , with $f_{m, n} = α^{m} β^{n}$ if $nm = 0$ . In this work, we…

math.OC2025★ 2 cited

Optimal control of counter-terrorism tactics

L. Bayon, P. Fortuny Ayuso, P. J. Garcia-Nieto +2

This paper presents an optimal control problem to analyze the efficacy of counter-terrorism tactics. We present an algorithm that efficiently combines the Minimum Principle of Pont…