Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flow-continuous mappings -- influence of the group   Many questions at the core of graph theory can be formulated as questions
about certain group-valued flows: examples are the cycle double cover
conjecture, Berge-Fulkerson conjecture, and Tutte's 3-flow, 4-flow, and 5-flow
conjectures. As an approach to these problems Jaeger and DeVos,
Ne\v{s}et\v{r}il, and Raspaud define a notion of graph morphisms continuous
with respect to group-valued flows. We discuss the influence of the group on
these maps. In particular, we prove that the number of flow-continuous mappings
between two graphs does not depend on the group, but only on the largest order
of an element of the group (i.e., on the exponent of the group). Further, there
is a nice algebraic structure describing for which groups a mapping is
flow-continuous.
  On the combinatorial side, we show that for cubic graphs the only relevant
groups are $\Z_2$, $\Z_3$, and $\Z$.

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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom