Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a characterization of the Grassmann graphs   In 1995, Metsch showed that the Grassmann graph $J_q(n,D)$ of diameter $D\geq
3$ is characterized by its intersection numbers with the following possible
exceptions:
  (-) $n=2D$ or $n=2D+1$, $q\geq 2$;
  (-) $n=2D+2$ and $q\in \{2,3\}$;
  (-) $n=2D+3$ and $q=2$.
  In 2005, Van Dam and Koolen constructed the twisted Grassmann graphs with the
same intersection numbers as the Grassmann graphs $J_q(2D+1,D)$, for any prime
power $q$ and diameter $D\geq 2$, but they are not isomorphic.
  We show that the Grassmann graph $J_q(2D,D)$ is characterized by its
intersection numbers provided that the diameter $D$ is large enough.

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The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio