Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Classes of Set-Sequential Trees   A graph is called set-sequential if its vertices can be labeled with distinct
nonzero vectors in $\mathbb{F}_2^n$ such that when each edge is labeled with
the sum$\pmod{2}$ of its vertices, every nonzero vector in $\mathbb{F}_2^n$ is
the label for either a single vertex or a single edge. We resolve certain cases
of a conjecture of Balister, Gyori, and Schelp in order to show many new
classes of trees to be set-sequential. We show that all caterpillars $T$ of
diameter $k$ such that $k \leq 18$ or $|V(T)| \geq 2^{k-1}$ are set-sequential,
where $T$ has only odd-degree vertices and $|T| = 2^{n-1}$ for some positive
integer $n$. We also present a new method of recursively constructing
set-sequential trees.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph