Results 71 to 80 of about 184,015 (290)

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

Cauchy formula and the character ring

European Physical Journal C: Particles and Fields, 2019
Cauchy summation formula plays a central role in application of character calculus to many problems, from AGT-implied Nekrasov decomposition of conformal blocks to topological-vertex decompositions of link invariants.
A. Morozov
doaj   +1 more source

Some Observations on the Smallest Adjacency Eigenvalue of a Graph

Discussiones Mathematicae Graph Theory, 2020
In this paper, we discuss various connections between the smallest eigenvalue of the adjacency matrix of a graph and its structure. There are several techniques for obtaining upper bounds on the smallest eigenvalue, and some of them are based on Rayleigh
Cioabă Sebastian M., Elzinga Randall J., Gregory David A.   +2 more
doaj   +1 more source

Wearable Kirigami‐Apertured Capacitive Sensors for Continuous Cardiac Volumetric Monitoring

Advanced Functional Materials, EarlyView.
A wearable kirigami‐apertured carbon nanotube‐paper composite (K‐CPC) capacitive sensor enables cardiac volumetric monitoring. The kirigami process creates a central aperture with cantilevered fibers that confine the electric field, enhancing both sensitivity and lateral resolution.
Yu‐Jen Cheng, Shawn Kim, Jonathan Avery, Younghoon Kwon, Jae‐Hyun Chung   +4 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

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

Planarity of Overlapping Clusterings Including Unions of Two Partitions

Journal of Graph Algorithms and Applications, 2017
We consider clustered planarity with overlapping clusters as introduced by Didimo et al. (Didimo, Giordano, Liotta, JGAA, 2008). It can be deduced from a proof in Athenstädt et al. (J. C. Athenstädt, T. Hartmann, and M.
Jan Christoph Athenstädt, Sabine Cornelsen   +1 more
doaj   +1 more source