Results 11 to 20 of about 180 (135)

Nature-Inspired Design Strategies for Efficient Atmospheric Water Harvesting. [PDF]

Adv Mater
This review presents advances in bioinspired atmospheric water harvesting systems, emphasizing how structural motifs such as wettability gradients, directional transport, and hierarchical porosity have been translated into engineered fog‐collection and vapor‐sorption strategies for enhanced water uptake, accelerated transport, and energy‐efficient ...
Lee Y, Lee Y, Fan S, Yang S.
europepmc   +2 more sources

Effects of Geometric Sound on Brainwave Activity Patterns, Autonomic Nervous System Markers, Emotional Response, and Faraday Wave Pattern Morphology. [PDF]

Evid Based Complement Alternat Med
This study introduces Geometric Sound as a subfield of spatial sound featuring audio stimuli which are sonic holograms of mathematically defined 3D shapes. The effects of Geometric Sound on human physiology were investigated through EEG, heart rate, blood pressure, and a combination of questionnaires monitoring 50 healthy participants in two separate ...
Geffen R, Braun C.
europepmc   +2 more sources

Linear recognition of generalized Fibonacci cubes $Q_h(111)$ [PDF]

Discrete Mathematics & Theoretical Computer Science, 2016
The generalized Fibonacci cube $Q_h(f)$ is the graph obtained from the $h$-cube $Q_h$ by removing all vertices that contain a given binary string $f$ as a substring.
Yoomi Rho, Aleksander Vesel
doaj   +1 more source

k-Fibonacci Cubes: A Family of Subgraphs of Fibonacci Cubes

International Journal of Foundations of Computer Science, 2020
Hypercubes and Fibonacci cubes are classical models for interconnection networks with interesting graph theoretic properties. We consider [Formula: see text]-Fibonacci cubes, which we obtain as subgraphs of Fibonacci cubes by eliminating certain edges during the fundamental recursion phase of their construction.
Ömer Egecioglu, Elif Saygi, Zülfükar Saygi   +2 more
openaire   +2 more sources

Asymptotic Properties of Fibonacci Cubes and Lucas Cubes [PDF]

Annals of Combinatorics, 2014
It is proved that the asymptotic average eccentricity and the asymptotic average degree of Fibonacci cubes and Lucas cubes are $(5+\sqrt 5)/10$ and $(5-\sqrt 5)/5$, respectively. A new labeling of the leaves of Fibonacci trees is introduced and proved that the eccentricity of a vertex of a given Fibonacci cube is equal to the depth of the associated ...
Klavžar, Sandi, Mollard, Michel
openaire   +3 more sources

The Mostar Index of Fibonacci and Lucas Cubes [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2021
The Mostar index of a graph was defined by Došlić, Martinjak, Škrekovski, Tipurić Spužević and Zubac in the context of the study of the properties of chemical graphs. It measures how far a given graph is from being distance-balanced. In this paper, we determine the Mostar index of two well-known families of graphs: Fibonacci cubes and Lucas cubes.
Ömer Eğecioğlu, Elif Saygı, Zülfükar Saygı   +2 more
openaire   +5 more sources

Applications of the Clifford torus to material textures [PDF]

J Appl Crystallogr
A new 2D representation of 3D material textures based on the Clifford torus is presented.This paper introduces a new 2D representation of the orientation distribution function for an arbitrary material texture. The approach is based on the isometric square torus mapping of the Clifford torus, which allows for points on the unit quaternion hypersphere ...
De Graef M.
europepmc   +2 more sources

Extended Fibonacci Cubes [PDF]

IEEE Transactions on Parallel and Distributed Systems, 1997
The Fibonacci cube (FC) is an interconnection network that possesses many desirable properties that are important in network design and application. However, most Fibonacci cubes (more than two third of all) are not Hamiltonian. In this paper, we propose a new network topology called extended Fibonacci cube (EFC/sub 1/) based on the same sequence F(i ...
openaire   +1 more source

Edges in Fibonacci Cubes, Lucas Cubes and Complements [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2021
The Fibonacci cube of dimension n, denoted as $Γ\_n$, is the subgraph of the hypercube induced by vertices with no consecutive 1's. The irregularity of a graph G is the sum of |d(x)-d(y)| over all edges {x,y} of G. In two recent paper based on the recursive structure of $Γ\_n$ it is proved that the irregularity of $Γ\_n$ and $Λ\_n$ are two times the ...
openaire   +3 more sources

The (non-)existence of perfect codes in Lucas cubes

پژوهش‌های ریاضی, 2022
A Fibonacci string of length $n$ is a binary string $b = b_1b_2ldots b_n$ in which for every $1 leq i < n$, $b_icdot b_{i+1} = 0$. In other words, a Fibonacci string is a binary string without 11 as a substring.
Azam Ghaleh Agha Babai,
doaj