Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Next 700 Impossibility Results in Time-Varying Graphs   We address highly dynamic distributed systems modeled by time-varying graphs
(TVGs). We interest in proof of impossibility results that often use informal
arguments about convergence. First, we provide a distance among TVGs to define
correctly the convergence of TVG sequences. Next, we provide a general
framework that formally proves the convergence of the sequence of executions of
any deterministic algorithm over TVGs of any convergent sequence of TVGs.
Finally, we illustrate the relevance of the above result by proving that no
deterministic algorithm exists to compute the underlying graph of any
connected-over-time TVG, i.e., any TVG of the weakest class of long-lived TVGs.

19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex