Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the complete cd-index of a Bruhat interval   We study the non-negativity conjecture of the complete cd-index of a Bruhat
interval defined by Billera and Brenti. For each cd-monomial M we construct a
set of paths, such that if a "flip condition" is satisfied, then the number of
these paths is the coefficient of the monomial M in the complete cd-index. When
the monomial contains at most one d, then the condition follows from Dyer's
proof of Cellini's conjecture. Hence the coefficients of these monomials are
non-negative. We also relate the flip condition to shelling of Bruhat
intervals.

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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: alg-geom