Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical modelling and study of the encoding readout scheme for
  position sensitive detectors   Encoding readout methods based on different schemes have been successfully
developed and tested with different types of position-sensitive detectors with
strip-readout structures. However, how to construct an encoding scheme in a
more general and systematic way is still under study. In this paper, we present
a graph model for the encoding scheme. With this model, encoding schemes can be
studied in a more systematic way. It is shown that by using an encoding readout
method, a maximum of n(n-1)/2+1 strips can be processed with n channels if n is
odd, while a maximum of (n(n-2))/2+2 strips can be processed with n channels if
n is even. Furthermore, based on the model, the encoding scheme construction
problem can be translated into a problem in graph theory, the aim of which is
to construct an Eulerian trail such that the length of the shortest subcycle is
as long as possible. A more general approach to constructing the encoding
scheme is found by solving the associated mathematical problem. In addition, an
encoding scheme prototype has been constructed, and verified with MRPC
detectors.

11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph