Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On claw-free Toeplitz graphs   This paper was initiated by the observation that chordal Toeplitz graphs
$T_n\langle t_1, \ldots, t_k\rangle$ with $n > t_{k-1}+t_k$ are claw-free. A
Toeplitz graph with $n$ vertices is a simple graph whose adjacency matrix is an
$n\times n$ $(0,1)$-symmetric Toeplitz matrix with zero diagonal and a claw in
a graph means a star $K_{1,3}$ as an induced subgraph. We find an interesting
family of claw-free Toeplitz graphs so called `cocoonery' and show that if $n >
t_{k-1}+t_k$, then this family becomes exactly the family of claw-free Toeplitz
graphs. We also completely characterize a claw-free Toeplitz graph $T_n\langle
t_1, \ldots, t_k\rangle$ for $k=2$ and $k=3$. We go further to study Toeplitz
graphs which happen to be line graphs.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
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
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci