AbstractWe consider symmetric powers of a graph. In particular, we show that the spectra of the symmetric square of strongly regular graphs with the same parameters are equal. We also provide some bounds on the spectra of the symmetric squares of more general graphs. The connection with generic exchange Hamiltonians in quantum mechanics is discussed in Appendix A
Not necessarily self-adjoint quantum graphs – differential operators on metric graphs – are consider...
AbstractA graph Γ is symmetric if its automorphism group acts transitively on the arcs of Γ, and s-r...
In this paper, we introduce a new measure of symmetry which we call the symmetry ratio of a network,...
AbstractWe consider symmetric powers of a graph. In particular, we show that the spectra of the symm...
AbstractThe k-th power of an n-vertex graph X is the iterated cartesian product of X with itself. Th...
The energy of a symmetric matrix is the sum of the absolute values of its eigenvalues. We introduce...
This note resolves an open problem asked by Bezrukov in the open problem session of IWOCA 2014. It s...
The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. ...
. A plane graph is called symmetric if it is invariant under the reflection across some straight lin...
AbstractA graph Γ is symmetric if its automorphism group acts transitively on the arcs of Γ, and s-r...
The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. ...
In the current article it is analyzed how ideas of PT-symmetricquantum mechanics can be applied to q...
International audienceThis note resolves an open problem asked by Bezrukov in the open problem sessi...
The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. ...
In my thesis I deal with the notion of the graph spectrum that represents one of the tools for exami...
Not necessarily self-adjoint quantum graphs – differential operators on metric graphs – are consider...
AbstractA graph Γ is symmetric if its automorphism group acts transitively on the arcs of Γ, and s-r...
In this paper, we introduce a new measure of symmetry which we call the symmetry ratio of a network,...
AbstractWe consider symmetric powers of a graph. In particular, we show that the spectra of the symm...
AbstractThe k-th power of an n-vertex graph X is the iterated cartesian product of X with itself. Th...
The energy of a symmetric matrix is the sum of the absolute values of its eigenvalues. We introduce...
This note resolves an open problem asked by Bezrukov in the open problem session of IWOCA 2014. It s...
The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. ...
. A plane graph is called symmetric if it is invariant under the reflection across some straight lin...
AbstractA graph Γ is symmetric if its automorphism group acts transitively on the arcs of Γ, and s-r...
The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. ...
In the current article it is analyzed how ideas of PT-symmetricquantum mechanics can be applied to q...
International audienceThis note resolves an open problem asked by Bezrukov in the open problem sessi...
The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. ...
In my thesis I deal with the notion of the graph spectrum that represents one of the tools for exami...
Not necessarily self-adjoint quantum graphs – differential operators on metric graphs – are consider...
AbstractA graph Γ is symmetric if its automorphism group acts transitively on the arcs of Γ, and s-r...
In this paper, we introduce a new measure of symmetry which we call the symmetry ratio of a network,...
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