Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal free resolution of monoimal ideals by iterated mapping cone   In this paper we study minimal free resolutions of some classes of monomial
ideals. we first give a sufficient condition to check the minimality of the
resolution obtained by the mapping cone. Using it, we obtain the Betti numbers
of max-path ideals of rooted trees and ideals containing powers of variables.
In particular, we discuss about resolutions of ideals of the form
$J_{\mathcal{H}}+(x_{i_1}^2,\ldots, x_{i_m}^2)$ where $J_{\mathcal{H}}$ is the
edge ideal of a hypergraph $\mathcal{H}$.

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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th