Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disjoint induced subgraphs of the same order and size   For a graph $G$, let $f(G)$ be the largest integer $k$ for which there exist
two vertex-disjoint induced subgraphs of $G$ each on $k$ vertices, both
inducing the same number of edges. We prove that $f(G) \ge n/2 - o(n)$ for
every graph $G$ on $n$ vertices. This answers a question of Caro and Yuster.

15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio