Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the Tutte Polynomial of Lattice Path Matroids Using
  Determinantal Circuits   We give a quantum-inspired $O(n^4)$ algorithm computing the Tutte polynomial
of a lattice path matroid, where $n$ is the size of the ground set of the
matroid. Furthermore, this can be improved to $O(n^2)$ arithmetic operations if
we evaluate the Tutte polynomial on a given input, fixing the values of the
variables. The best existing algorithm, found in 2004, was $O(n^5)$, and the
problem has only been known to be polynomial time since 2003. Conceptually, our
algorithm embeds the computation in a determinant using a recently demonstrated
equivalence of categories useful for counting problems such as those that
appear in simulating quantum systems.

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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn