Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Generalized Matcher Game   Recently the matcher game was introduced. In this game, two players create a
maximal matching by one player repeatedly choosing a vertex and the other
player choosing a $K_2$ containing that vertex. One player tries to minimize
the result and the other to maximize the result.In this paper we propose a
generalization of this game where $K_2$ is replaced by a general graph $F$. We
focus here on the case of $F=P_3$. We provide some general results and lower
bounds for the game, investigate the graphs where the game ends with all
vertices taken, and calculate the value for some specific families of graphs.

28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph