Approaching Disordered Quantum Dot Systems by Complex Networks with Spatial and Physical-Based Constraints. [PDF]
Nanomaterials (Basel), 2021 Cuadra L, Nieto-Borge JC.
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The unitary Cayley graph of a semiring
Discrete MathematicsWe study the unitary Cayley graph of a matrix semiring. We find bounds for its diameter, clique number and independence number, and determine its girth. We also find the relationship between the diameter and the clique number of a unitary Cayley graph of a semiring $S$ and a matrix semiring over $S$.
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Grover walks on unitary Cayley graphs and integral regular graphs
The unitary Cayley graph has vertex set $\{0,1, \hdots ,n-1\}$, where two vertices $u$ and $v$ are adjacent if $\gcd(u - v, n) = 1$. In this paper, we study periodicity and perfect state transfer of Grover walks on the unitary Cayley graphs. We characterize all periodic unitary Cayley graphs.
Bhakta, Koushik, Bhattacharjya, Bikash
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PLoS One, 2020 Chen Y.
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Path-sum solution of the Weyl quantum walk in 3 + 1 dimensions. [PDF]
Philos Trans A Math Phys Eng Sci, 2017 D'Ariano GM +3 more
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Mapping Systemic Risk: Critical Degree and Failures Distribution in Financial Networks. [PDF]
PLoS One, 2015 Smerlak M, Stoll B, Gupta A, Magdanz JS.
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Groups graded by root systems and property (T). [PDF]
Proc Natl Acad Sci U S A, 2014 Ershov M +3 more
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Hypercomplex neural networks: Exploring quaternion, octonion, and beyond in deep learning. [PDF]
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Proc Natl Acad Sci U S A, 2006 Kassabov M, Lubotzky A, Nikolov N.
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Digital simulation of zero-temperature spontaneous symmetry breaking in a superconducting lattice processor. [PDF]
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