Title

The Broken-circuit Complex: Its Structure and Factorizations

Document Type

Article

Publication Date

1-1-1981

Abstract

In this paper we derive several structural results for the broken-circuit complex of a combinatorial geometry G. In particular, motivated by the question as to when the characteristic polynomial of G factors, we investigate when the broken-circuit complex has a non-trivial join decomposition, conjecturing that such a decomposition cannot occur unless G has a non-trivial modular flat. © 1980, Academic Press Inc. (London) Limited. All rights reserved.

Publication Source (Journal or Book title)

European Journal of Combinatorics

First Page

107

Last Page

121

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