Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smarandache Multi-Space Theory(II)--Multi-spaces on graphs   A Smarandache multi-space is a union of $n$ different spaces equipped with
some different structures for an integer $n\geq 2$, which can be both used for
discrete or connected spaces, particularly for geometries and spacetimes in
theoretical physics. This is second part on multi-spaces. Many conceptions in
graphs are generalized by Smarandache's notion, such as multi-voltage graphs,
Cayley graphs of a finite multi-group,multi-embedding of a graph in an
$n$-manifold, graph phase, $...$, etc.. New results are obtained.

29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph