Results 51 to 60 of about 272 (159)
Which Graphs are Determined by their Spectrum?
, 2002 AMS classifications; 05C50 ...
Haemers, W.H.; id_orcid, van Dam, E.R.
core
Pretty good state transfer among large sets of vertices [PDF]
In a continuous-time quantum walk on a network of qubits, pretty good state transfer is the phenomenon of state transfer between two vertices with fidelity arbitrarily close to 1.
Sin, Peter, Chan, Ada
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Signed graphs with strong (anti-)reciprocal eigenvalue property
Special MatricesA (signed) graph is said to exhibit the strong reciprocal (anti-reciprocal) eigenvalue property (SR) (resp., (-SR)) if for any eigenvalue λ\lambda , it has 1λ\frac{1}{\lambda } (resp.,−1λ-\frac{1}{\lambda }) as an eigenvalue as well, with the same ...
Belardo Francesco, Huntington Callum
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On the Laplacian index of tadpole graphs
Special MatricesIn this article, we study the Laplacian index of tadpole graphs, which are unicyclic graphs formed by adding an edge between a cycle Ck{C}_{k} and a path Pn{P}_{n}.
Braga Rodrigo O., Veloso Bruno S.
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Revisiting hypergraph models for sparse matrix partitioning [PDF]
, 2006 . We provide an exposition of hypergraph models for parallelizing sparse matrix-vector multiplies. Our aim is to emphasize the expressive power of hypergraph models.
Uçar, Bora +4 more
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What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion
Special MatricesWe introduce an operator-theoretic definition of a proper graph Laplacian as any matrix associated with a given graph that can be expressed as the composition of a divergence and a gradient operator, with the gradient acting between graph-related spaces ...
Estrada Ernesto
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Some results involving the Aα-eigenvalues for graphs and line graphs
Special MatricesLet GG be a simple graph with adjacency matrix A(G)A\left(G), degree diagonal matrix D(G),D\left(G), and let l(G)l\left(G) be the line graph of GG. In 2017, Nikiforov defined the Aα{A}_{\alpha }-matrix of GG, Aα(G){A}_{\alpha }\left(G), as a linear ...
da Silva Júnior João Domingos G. +2 more
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Maximal Green Sequences of Exceptional Finite Mutation Type Quivers? [PDF]
, 2014 . Maximal green sequences are particular sequences of mutations of quivers which were introduced by Keller in the context of quantum dilogarithm identities and in-dependently by Cecotti–Córdova–Vafa in the context of supersymmetric gauge theory.
Seven, Ahmet İrfan +3 more
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Special MatricesTwo graphs are said to be Q-cospectral if they share the same signless Laplacian spectrum. A simple graph is said to be determined by its signless Laplacian spectrum (abbreviated as DQS) if there exists no other non-isomorphic simple graph with the same ...
Ye Jiachang, Qian Jianguo, Stanić Zoran
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