Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Walks and Paths in Trees   Recently Csikv\'ari \cite{csik} proved a conjecture of Nikiforov concerning
the number of closed walks on trees. Our aim is to extend his theorem to all
walks. In addition, we give a simpler proof of Csikv\'ari's result and answer
one of his questions in the negative. Finally we consider an analogous question
for paths rather than walks.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: stat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph