Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Game of Blocking Pebbles   Graph Pebbling is a well-studied single-player game on graphs. We introduce
the game of Blocking Pebbles which adapts Graph Pebbling into a two-player
strategy game in order to examine it within the context of Combinatorial Game
Theory. Positions with game values matching all integers, all nimbers, and many
infinitesimals and switches are found.

3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat