MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Homologies of path complexes and digraphs

Alexander Grigor'yan Yong Lin Yuri Muranov Shing-Tung Yau

Algebraic Topology and General Topology mathscidoc:1912.43585

arXiv preprint arXiv:1207.2834, 2012.7
In this paper we introduce a path complex that can be regarded as a generalization of the notion of a simplicial complex. The main motivation for considering path complexes comes from directed graphs (digraphs). We obtain a new notion of the path homology and cohomology of a digraph.
No keywords uploaded!
[ Download ] [ 2019-12-24 20:42:35 uploaded by yaust ] [ 609 downloads ] [ 0 comments ] 
@inproceedings{alexander2012homologies,
  title={Homologies of path complexes and digraphs},
  author={Alexander Grigor'yan, Yong Lin, Yuri Muranov, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204235770847149},
  booktitle={arXiv preprint arXiv:1207.2834},
  year={2012},
}
Alexander Grigor'yan, Yong Lin, Yuri Muranov, and Shing-Tung Yau. Homologies of path complexes and digraphs. 2012. In arXiv preprint arXiv:1207.2834. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204235770847149.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved