Mediatic graphs
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Publication:3626685
zbMATH Open1167.05050arXiv0704.0994MaRDI QIDQ3626685
Author name not available (Why is that?)
Publication date: 22 May 2009
Abstract: Any medium can be represented as an isometric subgraph of the hypercube, with each token of the medium represented by a particular equivalence class of arcs of the subgraph. Such a representation, although useful, is not especially revealing of the structure of a particular medium. We propose an axiomatic definition of the concept of a `mediatic graph'. We prove that the graph of any medium is a mediatic graph. We also show that, for any non-necessarily finite set S, there exists a bijection from the collection M of all the media on a given set S (of states) onto the collection G of all the mediatic graphs on S.
Full work available at URL: https://arxiv.org/abs/0704.0994
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