Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiplicity of eigenvalues of cographs   Motivated by the linear time algorithm that locates the eigenvalues of a
cograph G [10], we investigate the multiplicity of eigenvalue for \lambda \neq
-1,0. For cographs with balanced cotrees we determine explicitly the highest
value for the multiplicity.The energy of a graph is defined as the sum of
absolute values of the eigenvalues. A graph G on n vertices is said to be
borderenergetic if its energy equals the energy of the complete graph Kn. We
present families of non-cospectral and borderenergetic cographs.

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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: stat