The continuous-time quantum walk (CTQW) on root lattice An ( known as hexagonal lattice for n = 2) and honeycomb one is investigated by using spectral distribution method. To this aim, some association schemes are constructed from abelian group Z⊗n m and two copies of finite hexagonal lattices, such that their underlying graphs tend to root lattice An and honeycomb one, as the size of the under...

The use of non-destructive testing methods to qualify the state of rotor blades with respect to their expected flight hours, with the aim to extend their lifetime without any risk of breakdown, is an important financial demand. In order to detect the possible defects in the composite structure of Mi-8 and Mi-24 type helicopter rotor blades used by the Hungarian Army, we have performed combined ...

We present a thorough tight-binding analysis of the band structure of a wide variety of lattices belonging to the class of honeycomb and Kagome systems including several mixed forms combining both lattices. The band structure of these systems are made of a combination of dispersive and flat bands. The dispersive bands possess Dirac cones (linear dispersion) at the six corners (K points) of the ...

Single-walled carbon nanotubes (SWNTs) with outstanding electronic, optical, mechanical and thermal properties are expected to be the most promising materials for next-generation energy as well as optical and electronic devices. However, the structure-controlled assembling of SWNTs to macroscale for various devices is still challenging. This study focused on the SWNT assemblies for improving th...

A number of linear coordination polymers have been assembled from lanthanide cations (Ln) and cucurbit[7]uril (Q[7]) in the presence of [CuCl4]or [CoCl4] anions acting as inorganic structure inducers in HCl solution. X-ray diffraction analysis has revealed that they form three groups of isomorphous structures. Generally, the complexes of Q[7] with light lanthanide cations (those with atomic num...

In this paper, we propose a variation of honeycomb meshes. A honeycomb rectangular disk HReD(m,n) is obtained from the honeycomb rectangular mesh HReM(m,n) by adding a boundary cycle. A honeycomb rectangular disk HReD(m,n) is a 3-regular planar graph. It is obvious that the honeycomb rectangular mesh HReM(m,n) is a subgraph of HReD(m,n). We also prove that HReD(m,n) is hamiltonian. Moreover, HR...

Generalized honeycomb torus is a candidate for interconnection network architectures, which includes honeycomb torus, honeycomb rectangular torus, and honeycomb parallelogramic torus as special cases. Existence of Hamiltonian cycle is a basic requirement for interconnection networks since it helps map a “token ring” parallel algorithm onto the associated network in an efficient way. Cho and Hsu...

The tape spring is a crucial component used in the deployment mechanism of spacecraft, and lightweight design currently one critical issues that need to be addressed. This paper explores substitution effect two different negative Poisson’s ratio honeycomb-corrugated structures for use space-deployable structures. Theoretical finite element methods demonstrated honeycomb structure could equivale...

The scope of research activity that Bruce Thompson embraced was very large. In this talk three different research topics that the author shared with Bruce are reviewed. They represent Bruce’s introduction to NDE and include nonlinear acoustics, nondestructive measurements of adhesive bond strengths in honeycomb panels, and studies of flexural wave dispersion in honeycomb materials. In the first...