Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimum supports of eigenfunctions with the second largest eigenvalue of
  the Star graph   The Star graph $S_n$, $n\ge 3$, is the Cayley graph on the symmetric group
$Sym_n$ generated by the set of transpositions $\{(12),(13),\ldots,(1n)\}$. In
this work we study eigenfunctions of $S_n$ corresponding to the second largest
eigenvalue $n-2$. For $n\ge 8$ and $n=3$, we find the minimum cardinality of
the support of an eigenfunction of $S_n$ corresponding to the second largest
eigenvalue and obtain a characterization of eigenfunctions with the minimum
cardinality of the support.

22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex