Selected article for: "Betti number and simplicial complex"

Author: Chan, Joseph M.; Rabadan, Raul
Title: Quantifying Pathogen Surveillance Using Temporal Genomic Data
  • Document date: 2013_1_29
  • ID: u2t1x89m_41
    Snippet: An objective in the study of topology is to identify features of filtered simplicial complexes that persist across all values of . A useful characteristic is the Betti number, which in dimension 0 is b 0 , the number of connected components in a particular simplicial complex. Trivially, with a large enough , b 0 is 1, but what is interesting is the minimum value of that yields a b 0 value of 1. Low values would indicate a higher degree of surveil.....
    Document: An objective in the study of topology is to identify features of filtered simplicial complexes that persist across all values of . A useful characteristic is the Betti number, which in dimension 0 is b 0 , the number of connected components in a particular simplicial complex. Trivially, with a large enough , b 0 is 1, but what is interesting is the minimum value of that yields a b 0 value of 1. Low values would indicate a higher degree of surveillance.

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