Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Characteristics of Network Redundancy   Many real-world complex networks contain a significant amount of structural
redundancy, in which multiple vertices play identical topological roles. Such
redundancy arises naturally from the simple growth processes which form and
shape many real-world systems. Since structurally redundant elements may be
permuted without altering network structure, redundancy may be formally
investigated by examining network automorphism (symmetry) groups. Here, we use
a group-theoretic approach to give a complete description of spectral
signatures of redundancy in undirected networks. In particular, we describe how
a network's automorphism group may be used to directly associate specific
eigenvalues and eigenvectors with specific network motifs.

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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: dg-ga