Generalizations of the Kolmogorov–Barzdin embedding estimates
نویسندگان
چکیده
منابع مشابه
Generalizations of the Kolmogorov-barzdin Embedding Estimates
We consider several ways to measure the ‘geometric complexity’ of an embedding from a simplicial complex into Euclidean space. One of these is a version of ‘thickness’, based on a paper of Kolmogorov and Barzdin. We prove inequalities relating the thickness and the number of simplices in the simplicial complex, generalizing an estimate that Kolmogorov and Barzdin proved for graphs. We also cons...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2012
ISSN: 0012-7094
DOI: 10.1215/00127094-1812840