Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of Maximal Topologies Achieving Optimal DoF and DoF
  $\frac{1}{n}$ in Topological Interference Management   Topological interference management (TIM) can obtain degrees of freedom (DoF)
gains with no channel state information at the transmitters (CSIT) except
topological information of network in the interference channel. It was shown
that TIM achieves the optimal symmetric DoF when internal conflict does not
exist among messages. However, it is difficult to assure whether a specific
topology can achieve the optimal DoF without scrutinizing internal conflict,
which requires lots of works. Also, it is hard to design a specific optimal
topology directly from the conventional condition for the optimal DoF. With
these problems in mind, we propose a method to derive maximal topology directly
in TIM, named as alliance construction in K-user interference channel. That is,
it is proved that a topology is maximal if and only if it is derived from
alliance construction. We translate a topology design by alliance construction
in message graph into topology matrix and propose conditions for maximal
topology matrix (MTM). Moreover, we propose a generalized alliance construction
that derives a topology achieving DoF 1/n for n>=3 by generalizing
sub-alliances. A topology matrix can also be used to analyze maximality of
topology with DoF 1/n.

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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th