Titlebook: Interactions with Lattice Polytopes; Magdeburg, Germany, Alexander M. Kasprzyk,Benjamin Nill Conference proceedings 2022 Springer Nature S

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Victor Batyrev,Alexander Kasprzyk,Karin Schallerl ideals arising from an integer matrix which represents the exponent vectors of the monomial generators of a toric ring. It will be shown that the toric ideal . attached to the matrix . is graded if and only if . is a configuration matrix. Furthermore, it will be shown that an arbitrary binomial id

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Mónica Blancog the foundation on the topics. In Section 5.1, we summarize basic terminologies on finite graphs. A basic fact on bipartite graphs is proved. The edge polytope of a finite graph is introduced in Section 5.2. We study the dimension, the vertices, the edges, and the facets of edge polytopes. In Secti

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Tom Coates,Alessio Corti,Genival da Silva Jr.edical applications using rapid prototyping, including tissu.Bio-materials and prototyping (both virtual and physical) is becoming more and more prevalent in medicine. These materials and technologies are used to design, develop and manufacture medical devices and instrumentation, and to fabricate d