1.0Matemáticas y sus fronterashttps://www.madrimasd.org/blogs/matematicasMatemáticas y sus fronterashttps://www.madrimasd.org/blogs/matematicas/author/matematicasResuelto el problema de los conjuntos generalizados de Sidon - Matemáticas y sus fronterasrich600338<blockquote class="wp-embedded-content" data-secret="BlcrS4b1Ka"><a href="https://www.madrimasd.org/blogs/matematicas/2010/11/20/132396">Resuelto el problema de los conjuntos generalizados de Sidon</a></blockquote><iframe sandbox="allow-scripts" security="restricted" src="https://www.madrimasd.org/blogs/matematicas/2010/11/20/132396/embed#?secret=BlcrS4b1Ka" width="600" height="338" title="«Resuelto el problema de los conjuntos generalizados de Sidon» — Matemáticas y sus fronteras" data-secret="BlcrS4b1Ka" frameborder="0" marginwidth="0" marginheight="0" scrolling="no" class="wp-embedded-content"></iframe><script>
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Javier Cilleruelo, Carlos Vinuesa e Imre Ruzsa ha resuelto un importante problema en Teoría Combinatoria de Números, denominado el problema de Sidon. Los conjuntos de Sidon son conjuntos de enteros positivos con la propiedad de que todas las sumas de dos elementos del conjunto son distintas. Por ejemplo, {1, 2, 5, 10, 16, 23, 33, 35} es un conjunto de Sidon mientras que {1, 3, 7, 10, 17, 23, 28, 35} no lo es porque aparecen sumas repetidas: 1+23=7+17. ¿Cuál es el mayor tamaño que puede tener un conjunto de Sidon en {1, . . , n}? ¿Y si permitimos…http://www.madrimasd.org/blogs/matematicas/files/2010/11/cille1-233x300.jpg