2-Complexes with Large 2-Girth

The 2-girth of a 2-dimensional simplicial complex X is the minimum size of a non-zero 2-cycle in H[subscript 2](X,Z/2) . We consider the maximum possible girth of a complex with n vertices and m 2-faces. If m=n[superscript 2+α] for α<1/2 , then we show that the 2-girth is at most 4n[superscript 2...

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Bibliographic Details
Main Authors: Dotterrer, Dominic (Author), Kahle, Matthew (Author), Guth, Lawrence (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer US, 2018-07-25T18:04:20Z.
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