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A Jump Inversion Theorem For The Degree Spectra

机译:度谱的跳跃逆定理

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In the present article, we continue the study of the properties of the spectra of structures as sets of degrees initiated in [11]. Here, we consider the relationships between the spectra and the jump spectra. Our first result is that every jump spectrum is also a spectrum. The main result sounds like a Jump inversion theorem. Namely, we show that if a spectrum A is contained in the set of the jumps of the degrees in some spectrum B then there exists a spectrum C such that C is contained in B and A is equal to the set of the jumps of the degrees in C.
机译:在本文中,我们将继续研究结构光谱的特性,这些结构是在[11]中提出的。在这里,我们考虑光谱与跳跃光谱之间的关系。我们的第一个结果是,每个跃迁谱也是一个谱。主要结果听起来像是Jump逆定理。也就是说,我们表明如果某个频谱B的度数跃迁集中包含频谱A,那么就存在一个频谱C,使得C包含在B中,而A等于度数的跃迁集中在C中

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