Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Broadcast Throughput in Radio Networks: Routing vs. Network Coding   The broadcast throughput in a network is defined as the average number of
messages that can be transmitted per unit time from a given source to all other
nodes when time goes to infinity.
  Classical broadcast algorithms treat messages as atomic tokens and route them
from the source to the receivers by making intermediate nodes store and forward
messages. The more recent network coding approach, in contrast, prompts
intermediate nodes to mix and code together messages. It has been shown that
certain wired networks have an asymptotic network coding gap, that is, they
have asymptotically higher broadcast throughput when using network coding
compared to routing. Whether such a gap exists for wireless networks has been
an open question of great interest. We approach this question by studying the
broadcast throughput of the radio network model which has been a standard
mathematical model to study wireless communication.
  We show that there is a family of radio networks with a tight $\Theta(\log
\log n)$ network coding gap, that is, networks in which the asymptotic
throughput achievable via routing messages is a $\Theta(\log \log n)$ factor
smaller than that of the optimal network coding algorithm. We also provide new
tight upper and lower bounds that show that the asymptotic worst-case broadcast
throughput over all networks with $n$ nodes is $\Theta(1 / \log n)$
messages-per-round for both routing and network coding.

27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg