Independence complexes of comaximal graphs of commutative rings with identity | Zendy

Nela Milošević | Zendy

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Independence complexes of comaximal graphs of commutative rings with identity

Author(s) -

Nela Milošević

Publication year - 2015

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim150126018m

Subject(s) - contractible space , homotopy , independence number , mathematics , commutative property , independence (probability theory) , hypergraph , combinatorics , identity (music) , discrete mathematics , graph , topology (electrical circuits) , pure mathematics , physics , statistics , acoustics

We study topology of the independence complexes of comaximal (hyper)graphs of commutative rings with identity. We show that the independence complex of comaximal hypergraph is contractible or homotopy equivalent to a sphere, and that the independence complex of comaximal graph is almost always contractible.

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