Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of the Fibonacci-sum graph   For each positive integer $n$, the Fibonacci-sum graph $G_n$ on vertices
$1,2,\ldots,n$ is defined by two vertices forming an edge if and only if they
sum to a Fibonacci number. It is known that each $G_n$ is bipartite, and all
Hamiltonian paths in each $G_n$ have been classified. In this paper, it is
shown that each $G_n$ has at most one non-trivial automorphism, which is given
explicitly. Other properties of $G_n$ are also found, including the degree
sequence, the treewidth, the nature of the bipartition, and that $G_n$ is
outerplanar.

13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat