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Titlebook: Media Theory; Interdisciplinary Ap David Eppstein,Jean-Claude Falmagne,Sergei Ovchinn Book 2008 Springer-Verlag Berlin Heidelberg 2008 Arti

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Media and Partial Cubes,ks. Partial cubes are graphs that are isometrically embeddable into hypercubes (Imrich and Klavžar, 2000). We use partial cubes in our studies of structural properties of wg-families of sets and media. In particular, we characterize mediatic graphs as partial cubes.
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Hyperplane arrangements and their media,e that the ‘regions’ of a hyperplane arrangements define a medium, give examples of such media, and compute their isometric and lattice dimensions. Then we apply geometric techniques to show that families of ‘labeled interval orders’ and weak orders can be cast as media. This part of the chapter supplements the results presented in Chapter 5.
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Examples and Preliminaries,nds with a short historical notice and the related bibliography. Our purpose here is to motivate the developments and to build up the reader’s intuition, in preparation for the more technical material to follow.
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Visualization of Media,The algorithms we consider are based on two principles: embedding the state transition graph in a low-dimensional integer lattice (as described in Chapter 8) and projecting the lattice onto the plane, or drawing the medium as a .. After this material, we describe some more specialized algorithms for drawing learning spaces, as in Eppstein (2006).
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Book 2008 characterized by a set of binary features, and di?ers from some other nei- bor state or states by just one of those features. In some situations, what distinguishes a state S from a neighbor state T is that S has a particular f- ture that T does not have. A familiar example is a partial solution of
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