Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Topological Perspective on Distributed Network Algorithms   More than two decades ago, combinatorial topology was shown to be useful for
analyzing distributed fault-tolerant algorithms in shared memory systems and in
message passing systems. In this work, we show that combinatorial topology can
also be useful for analyzing distributed algorithms in failure-free networks of
arbitrary structure. To illustrate this, we analyze consensus, set-agreement,
and approximate agreement in networks, and derive lower bounds for these
problems under classical computational settings, such as the LOCAL model and
dynamic networks.

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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org