Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On edge-colorings of bicubic planar graphs   In the first part, we introduce a notion a degree of edge-colorings of
bicubic plane graphs and proves some local formula of the graded number of
colorings. In the second part, we give a new proof of a result of Fisk saying
that any two edge-3-colorings of a planar bicubic graph are Kempe equivalent.
Additionaly we show that the degree of colorings behaves well with respect to
Kempe equivalence.

25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph