Titlebook: Binomial Ideals; Jürgen Herzog,Takayuki Hibi,Hidefumi Ohsugi Textbook 2018 Springer International Publishing AG, part of Springer Nature 2

Dorsal

Edge Polytopes and Edge Ringsg 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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engender

Binomial Edge Ideals and Related Idealsal edge ideals. These ideals may also be viewed as ideals generated by a subset of 2-minors of a (2?×?.)-matrix of indeterminates. Their Gr?bner bases will be computed. Graphs whose binomial edge ideals have a quadratic Gr?bner basis are called closed graphs. A full classification of closed graphs i

OCTO

Ideals Generated by 2-Minorsterminates. The ideals considered here are generated by certain subsets of 2-minors of such a matrix. Any of these subsets is defined by a collection . of cells and include 2-sided ladders. Two types of such ideals are considered: those which are generated by the 2-minors corresponding to the cells

BRINK

Statisticspproach turned out to be one of the origins of Algebraic Statistics which has become a very active and interesting research area. In this chapter, we give a survey on this concept and on related topics. In Section 9.1, we introduce the basic facts on contingency tables. In particular, “the .-value”

偶像

Probabilistic Cellular Automata in the Visual Arts,er Struycken (The Netherlands, 1939). He was struck by Struycken’s black and white works “Computerstructuren” (1969), which were painted after grid patterns generated by algorithms. Geurts assumed that they must have been produced using cellular automata. He started working with Lambert Meertens at

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