Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The adjacency matrices and the transition matrices related to random
  walks on graphs   A pointed graph $(\Gamma,v_0)$ induces a family of transition matrices in
Wildberger's construction of a hermitian hypergroup via a random walk on
$\Gamma$ starting from $v_0$. We will give a necessary condition for producing
a hermitian hypergroup as we assume a weaker condition than the
distance-regularity for $(\Gamma,v_0)$. The condition obtained in this paper
connects the transition matrices and the adjacency matrices associated with
$\Gamma$.

26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg