Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributed Broadcast in Wireless Networks with Unknown Topology   A multi-hop synchronous wirelss network is said to be unknown if the nodes
have no knowledge of the topology. A basic task in wireless network is that of
broadcasting a message (created by a fixed source node) to all nodes of the
network. The multi-broadcast that consists in performing a set of r independent
broadcasts. In this paper, we study the completion and the termination time of
distributed protocols for both the (single) broadcast and the multi-broadcast
operations on unknown networks as functions of the number of nodes n, the
maximum eccentricity D, the maximum in-degree Delta, and the congestion c of
the networks. We establish new connections between these operations and some
combinatorial concepts, such as selective families, strongly-selective families
(also known as superimposed codes), and pairwise r-different families. Such
connections, combined with a set of new lower and upper bounds on the size of
the above families, allow us to derive new lower bounds and new distributed
protocols for the broadcast and multi-broadcast operations. In particular, our
upper bounds are almost tight and improve exponentially over the previous
bounds when D and Delta are polylogarithmic in n. Network topologies having
``small'' eccentricity and ``small'' degree (such as bounded-degree expanders)
are often used in practice to achieve efficient communication.

5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
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The categories of this paper are: physics
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th