Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New concept of connection in signed graphs   In a signed graph each edge has a sign, $+1$ or $-1$. We introduce in the
present paper a new definition of connection in a signed graph by the existence
of both positive and negative chains between vertices. We prove some results
and properties of this definition, such as sign components, sign articulation
vertices, and sign isthmi, and we compare them to corresponding graph and
signed-graphic matroid properties. We apply our results to signed graphs
without positive cycles. For signed graphs in which every edge is negative our
properties become parity properties.

29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg