Results 61 to 70 of about 295,471 (297)

Vertex partitioning and p-energy of graphs

Linear Algebra and its Applications
For a Hermitian matrix $A$ of order $n$ with eigenvalues $λ_1(A)\ge \cdots\ge λ_n(A)$, define \[ \mathcal{E}_p^+(A)=\sum_{λ_i > 0} λ_i^p(A), \quad \mathcal{E}_p^-(A)=\sum_{λ_i<0} |λ_i(A)|^p,\] to be the positive and the negative $p$-energy of $A$, respectively.
Akbari, Saieed, Kumar, Hitesh, Mohar, Bojan, Pragada, Shivaramakrishna   +3 more
openaire   +3 more sources

Embedded Ferroelectric Nanoclusters Can Drive Polarization Reversal in a Non‐Ferroelectric Polar Film via the Proximity Effect

Advanced Functional Materials, EarlyView.
Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska, Eugene A. Eliseev, Sergei V. Kalinin, Long‐Qing Chen, Dean R. Evans, Venkatraman Gopalan   +5 more
wiley   +1 more source

Note on vertex-partitions of infinite graphs

Discrete Mathematics, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pach, János, Spencer, Joel H.
openaire   +3 more sources

Atom Probe Tomography as an Emerging Tool for Understanding Defect‑Driven Mechanisms in HfO2‑Based Ferroelectrics

Advanced Functional Materials, EarlyView.
This Perspective highlights atom probe tomography as a powerful tool for understanding the atomic‐scale defect chemistry in HfO2‐based ferroelectrics. 3D mapping of dopants, point defects, and interface chemistry can provide new insight into defect‐driven mechanisms underpinning the ferroelectricity in the system and guide the design of more reliable ...
Kasper Hunnestad, Catherine Dubourdieu, Alexei Gruverman, Dennis Meier   +3 more
wiley   +1 more source

On the Constant Partition Dimension of Some Generalized Families of Toeplitz Graph

Journal of Mathematics
The use of graph theory is prevalent in the field of network design, whereby it finds utility in several domains such as the development of integrated circuits, communication networks, and transportation systems. The comprehension of partition dimensions
Ali N. A. Koam, Ali Ahmad, Maryam Salem Alatawi, Adnan Khalil, Muhammad Azeem   +4 more
doaj   +1 more source

On Vertex Partitions of Hypercubes by Isometric Trees [PDF]

SIAM Journal on Discrete Mathematics, 2011
When $n=2^m-1$ M.Ramras proved, by a counting argument, that for any isometrically embedded tree $T$ on $n$ edges in $Q_n$ there exists a group of translations $G$ such that $\left\{g(T); g\in G \right\}$ is a vertex partition of $Q_n$. Considering a more general context we are able to give an explicit construction of $G$ and can construct non group ...
openaire   +3 more sources

Pressure‐Assisted Dimensional Transformation of 2D Hydrogenated Borophene into 0D Boron Quantum Dots

Advanced Functional Materials, EarlyView.
Hydrogenated borophene (HB) is transformed into distinct boron nanostructures through a solvent‐free thermal process. Under flowing nitrogen, hydrogen escape promotes reconstruction into B2O3 nanoplatelets, whereas hydrogen‐induced pressure under sealed conditions facilitates fragmentation into boron quantum dots.
Ozden Gunes Yildiz, Ramin Yazdaanpanah, Yongfeng Guo, Pouriya Naziri, Sachin Kulkarni, Martina Mercurio, Maria Cristina Larciprete, Ilaria Fratoddi, Paul Simon, Wan‐Lu Li, Koray Aydin, Umut Aydemir   +11 more
wiley   +1 more source

Vertex partitioning of a class of digraphs [PDF]

Mathématiques et sciences humaines, 2002
A vertex subset V' of a digraph is a pseudo sink set if its out-degree is low. The research of a pseudo sink set in a digraph is a high complexity combinatory problem. We show, for a particular family of digraphs, that a clustering of the vertex set fitted with a well chosen metric allows to reveal pseudo sink sets by their aggregation in a first ...
Louis Ferre, Bertrand Jouve
openaire   +1 more source

Thermoresponsive Liquid Crystalline Polymer Coatings Programmed by Field‐Induced Topological Defects for Tunable Optical and Topographical Responses

Advanced Functional Materials, EarlyView.
Resonant standing waves generate large‐area lattices of liquid‐crystal topological defects that are permanently encoded into polymer coatings by photopolymerization. The preserved director architecture produces thermally reconfigurable surface topographies while maintaining programmable optical functionality, demonstrating a scalable strategy for ...
Jacques A. Peixoto, Mufeeduzaman Chavilkkadan, Alexander Fusi, Marko Beslać, Dirk J. Broer, Etienne Brasselet, Danqing Liu   +6 more
wiley   +1 more source

Aspects of Topological String Theory [PDF]

, 2008
Two aspects of the topological string and its applications are considered in this thesis. Firstly, non-perturbative contributions to the OSV conjecture relating four-dimensional extremal black holes and the closed topological string partition function ...
Cook, Paul Langabi Hogan
core   +1 more source