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      Construction of cospectral graphs

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          Abstract

          Construction of non-isomorphic cospectral graphs is a nontrivial problem in spectral graph theory specially for large graphs. In this paper, we establish that graph theoretical partial transpose of a graph is a potential tool to create non-isomorphic cospectral graphs by considering a graph as a clustered graph.

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          Separability Criterion for Density Matrices

          A quantum system consisting of two subsystems is separable if its density matrix can be written as ρ=AwAρAρA, where ρA and ρA are density matrices for the two subsytems. In this Letter, it is shown that a necessary condition for separability is that a matrix, obtained by partial transposition of ρ, has only non-negative eigenvalues. This criterion is stronger than Bell's inequality.
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            Constructing cospectral graphs

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              Enumeration of cospectral graphs

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                Author and article information

                Journal
                10 August 2018
                Article
                1808.03490
                0c1fede6-a7dd-422c-8b34-f6f3ce5aa59f

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                math.CO cs.DM

                Combinatorics,Discrete mathematics & Graph theory
                Combinatorics, Discrete mathematics & Graph theory

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