Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditions on the regularity of balanced $c$-partite tournaments for the
  existence of strong subtournaments with high minimum degree   We consider the following problem posed by Volkmann in 2007: How close to
regular must a c-partite tournament be, to secure a strongly connected
subtournament of order $c$? We give sufficient conditions on the regularity of
balanced $c$-partite tournaments to assure the existence of strong maximal
subtournament with minimum degree at least $\left\lfloor
\frac{c-2}{4}\right\rfloor+1$. We obtain this result as an application of
counting the number of subtournaments of order $c$ for which a vertex has
minimum out-degree (resp. in-degree) at most $q\geq 0$.

30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex