Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Hypergraph List Edge Coloring - Generalizations of the EFL
  Conjecture to List Coloring   Motivated by the Erd\H{o}s-Faber-Lov\'asz (EFL) conjecture for hypergraphs,
we consider the list edge coloring of linear hypergraphs. We discuss several
conjectures for list edge coloring linear hypergraphs that generalize both EFL
and Vizing's theorem for graphs. For example, we conjecture that in a linear
hypergraph of rank 3, the list edge chromatic number is at most 2 times the
maximum degree plus 1. We show that for sufficiently large fixed rank and
sufficiently large degree, the conjectures are true.

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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: physics