Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On path factors of (3,4)-biregular bigraphs   A (3,4)-biregular bigraph G is a bipartite graph where all vertices in one
part have degree 3 and all vertices in the other part have degree 4. A path
factor of G is a spanning subgraph whose components are nontrivial paths. We
prove that a simple (3,4)-biregular bigraph always has a path factor such that
the endpoints of each path have degree three. Moreover we suggest a polynomial
algorithm for the construction of such a path factor.

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The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th