Results 121 to 130 of about 786,749 (367)
arXiv, 1999 We introduce a notion of planar algebra, the simplest example of which is a vector space of tensors, closed under planar contractions. A planar algebra with suitable positivity properties produces a finite index subfactor of a II_1 factor, and vice versa.
arxiv
Simple and Direct Proof of MacLane's Planarity Criterion [PDF]
arXiv, 2006 We give a simple proof of MacLane's algebraic planarity criterion for graphs. This proof does not use any other known planarity criteria. Keywords: graph, planarity, cycle space, a simple basis of a graph.
arxiv
Recognizing IC-Planar and NIC-Planar Graphs
Journal of Graph Algorithms and Applications, 2018 We prove that triangulated IC-planar graphs and triangulated $K_5$-free or $X4W$-free NIC-planar graphs can be recognized in cubic time. A graph is 1-planar if it can be drawn in the plane with at most one crossing per edge. A drawing is IC-planar if, in addition, each vertex is incident to at most one crossing edge and NIC-planar if two pairs of ...
openaire +3 more sources
From subfactor planar algebras to subfactors [PDF]
arXiv, 2008 We present a purely planar algebraic proof of the main result of a paper of Guionnet-Jones-Shlaykhtenko which constructs an extremal subfactor from a subfactor planar algebra whose standard invariant is given by that planar algebra.
arxiv
Planar-integrated single-crystalline perovskite photodetectors
Nature Communications, 2015 Hybrid perovskites are promising semiconductors for optoelectronic applications. However, they suffer from morphological disorder that limits their optoelectronic properties and, ultimately, device performance.
M. Saidaminov +9 more
semanticscholar +1 more source
, 2006 Domino tilings of finite domains of the plane are used to model dimer systems in statistical physics. In this paper, we study dimer tilings, which generalize domino tilings and are indeed equivalent to perfect matchings of planar graphs. We use height functions, a notion previously introduced by Thurston for domino tilings, to prove that a dimer tiling
Bodini, Olivier, Fernique, Thomas
openaire +6 more sources
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
MicromachinesThe body diode degradation in SiC power MOSFETs has been demonstrated to be caused by basal plane dislocation (BPD)-induced stacking faults (SFs) in the drift region.
Jiashu Qian +8 more
doaj +1 more source
Planar complex numbers in even n dimensions [PDF]
arXiv, 2000 Planar commutative n-complex numbers of the form u=x_0+h_1x_1+h_2x_2+...+h_{n-1}x_{n-1} are introduced in an even number n of dimensions, the variables x_0,...,x_{n-1} being real numbers. The planar n-complex numbers can be described by the modulus d, by the amplitude \rho, by n/2 azimuthal angles \phi_k, and by n/2-1 planar angles \psi_{k-1}.
arxiv
Planar Luneburg Lens Based on the High Impedance Surface for Effective Ku-Band Wave Focusing
IEEE Access, 2018 In this paper, a planar Ku-band Luneburg lens is designed, fabricated, and measured. Based on the high impedance surface, metamaterial units are designed and arranged in an array with gradient equivalent refractive index to achieve good wave focusing ...
Gong Cheng +5 more
doaj +1 more source