Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conway-Gordon type theorem for the complete four-partite graph
  $K_{3,3,1,1}$   We give a Conway-Gordon type formula for invariants of knots and links in a
spatial complete four-partite graph $K_{3,3,1,1}$ in terms of the square of the
linking number and the second coefficient of the Conway polynomial. As an
application, we show that every rectilinear spatial $K_{3,3,1,1}$ contains a
nontrivial Hamiltonian knot.

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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int