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, Kahle, Matthew, Guth, Lawrence
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2018
Online Access:http://hdl.handle.net/1721.1/117122
https://orcid.org/0000-0002-1302-8657