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pro vyhledávání: '"Bassan, Michal"'
We give a short proof of a recent result of Claesson, Dukes, Frankl\'in and Stef\'ansson, that connects tournament score sequences and the Erd\H{o}s-Ginzburg-Ziv numbers from additive number theory. We show that this connection is, in fact, an instan
Externí odkaz:
http://arxiv.org/abs/2407.01441
A sequence $d_1\le\cdots\le d_n$ is graphical if it is the degree sequence of a graph. Balister, the second author, Groenland, Johnston and Scott showed that there are asymptotically $C4^n/n^{3/4}$ such sequences. However, the constant $C$ involves a
Externí odkaz:
http://arxiv.org/abs/2406.05110
The disordered ferromagnet is a disordered version of the ferromagnetic Ising model in which the coupling constants are non-negative quenched random. A ground configuration is an infinite-volume configuration whose energy cannot be reduced by finite
Externí odkaz:
http://arxiv.org/abs/2309.06437