Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tight Bounds for Parallel Randomized Load Balancing   We explore the fundamental limits of distributed balls-into-bins algorithms.
We present an adaptive symmetric algorithm that achieves a bin load of two in
log* n+O(1) communication rounds using O(n) messages in total. Larger bin loads
can be traded in for smaller time complexities. We prove a matching lower bound
of (1-o(1))log* n on the time complexity of symmetric algorithms that guarantee
small bin loads at an asymptotically optimal message complexity of O(n). For
each assumption of the lower bound, we provide an algorithm violating it, in
turn achieving a constant maximum bin load in constant time.
  As an application, we consider the following problem. Given a fully connected
graph of n nodes, where each node needs to send and receive up to n messages,
and in each round each node may send one message over each link, deliver all
messages as quickly as possible to their destinations. We give a simple and
robust algorithm of time complexity O(log* n) for this task and provide a
generalization to the case where all nodes initially hold arbitrary sets of
messages. A less practical algorithm terminates within asymptotically optimal
O(1) rounds. All these bounds hold with high probability.

34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph