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Matching structure and the matching lattice

László Lovász
1987 Journal of combinatorial theory. Series B (Print)  
structure of the rational field).  ...  Section 4 starts the study of the matching lattice.  ...  By the results of Lov&z [ 111, this yields a polynomial-time procedure to compute a basis for the matching lattice.  ... 
doi:10.1016/0095-8956(87)90021-9 fatcat:tubmaauimrglzajsilrb5kzjwe

Lattice structure of the random stable set in many-to-many matching market [article]

Noelia Juarez and Pablo A. Neme and Jorge Oviedo
2020 arXiv   pre-print
For a many-to-many matching market, we study the lattice structure of the set of random stable matchings.  ...  We define a partial order on the random stable set and present two intuitive binary operations to compute the least upper bound and the greatest lower bound for each side of the matching market.  ...  has a lattice structure.  ... 
arXiv:2002.08156v5 fatcat:jbdp7bm3bfb6dlsefkqmmdb3uu

On preferences over subsets and the lattice structure of stable matchings

Ahmet Alkan
2001 Review of Economic Design  
This paper studies the structure of stable multipartner matchings in two-sided markets where choice functions are quotafilling in the sense that they satisfy the substitutability axiom and, in addition  ...  It is shown that (i) the set of stable matchings is a lattice under the common revealed preference orderings of all agents on the same side, (ii) the supremum (infimum) operation of the lattice for each  ...  , stable matchings have the structure of a lattice under the common preferences of all agents of the same sex and further remarkable properties. 2 It was shown, recently, by Baiou and Balinski (1998)  ... 
doi:10.1007/pl00013699 fatcat:tufvbvl6znaeznjkktshyohjfi

Lattice matching (LM) - Prevention of inadvertent duplicate publications of crystal structures

A.D. Mighell
2002 Journal of Research of the National Institute of Standards and Technology  
The focus herein is on the major role that lattice matching can play in the prevention of inadvertent duplicate publications of the same structure and in the determination of key cross-references.  ...  Lattice-matching techniques have proved to be extremely effective for the identification of unknown crystalline materials.  ...  Acknowledgment The author thanks Ronald Munro for his valuable suggestions and insightful comments.  ... 
doi:10.6028/jres.107.036 pmid:27446743 pmcid:PMC4861380 fatcat:hzrvwt3xubcxtgbolyoeqk42nq

Efficient and robust feature extraction and pattern matching of time series by a lattice structure

Polly Wan Po Man, Man Hon Wong
2001 Proceedings of the tenth international conference on Information and knowledge management - CIKM'01  
Also, the lattice structure can be indexed to further improve the performance of pattern matching.  ...  The algorithm then identifies all the important peaks and troughs (known as control points) in the time series and classifies the points into appropriate layers of the lattice structure.  ...  all the patterns formed by the lattice structure.  ... 
doi:10.1145/502585.502631 dblp:conf/cikm/PollyW01 fatcat:enymbiejd5c25gc2rck5nxpjay

Efficient and robust feature extraction and pattern matching of time series by a lattice structure

Polly Wan Po Man, Man Hon Wong
2001 Proceedings of the tenth international conference on Information and knowledge management - CIKM'01  
Also, the lattice structure can be indexed to further improve the performance of pattern matching.  ...  The algorithm then identifies all the important peaks and troughs (known as control points) in the time series and classifies the points into appropriate layers of the lattice structure.  ...  all the patterns formed by the lattice structure.  ... 
doi:10.1145/502628.502631 fatcat:di6nefockjc65g5mcb3x5iefli

Electron density effects in the modulation spectroscopy of strained and lattice‐matched InGaAs/InAlAs/InP high‐electron‐mobility transistor structures

A. Dimoulas, J. Davidow, K. P. Giapis, A. Georgakilas, G. Halkias, N. Kornelios
1996 Journal of Applied Physics  
The effects of the channel electron density on the interband optical transitions of strained (xϭ0.6 and 0.65͒ and lattice-matched (xϭ0.53) In x Ga 1Ϫx As/In 0.52 Al 0.48 As/InP high-electron-mobility transistor  ...  structures have been investigated by phototransmittance at room temperature.  ...  The indium composition was xϭ0.6 and 0.65 for the strained and xϭ0.53 for the lattice-matched samples. The channel width L w had values between 10 and 100 nm.  ... 
doi:10.1063/1.363219 fatcat:gsgw6nqupvg3jcjjqzxq62c6ju

New epitaxy paradigm in epitaxial self-assembled oxide vertically aligned nanocomposite thin films

Jijie Huang, Judith L. MacManus-Driscoll, Haiyan Wang
2017 Journal of Materials Research  
Specifically, a unique strain compensation model enabling the epitaxial growth of two-phase nanocomposites having large lattice mismatch with substrates is proposed.  ...  The interest arises from the range of unique nanostructured films which can form and the multifunctionality arising from these forms.  ...  JLM-D acknowledges support from EPSRC grants, EP/K035282/1 and EP/N004272/1 and the Leverhulme grant RPG-2015-017.  ... 
doi:10.1557/jmr.2017.281 fatcat:cbnltibs6vfr3p2mq3kens6ojq

The normalized reduced form and cell mathematical tools for lattice analysis - Symmetry and similarity

A.D. Mighell
2003 Journal of Research of the National Institute of Standards and Technology  
Acknowledgment The author gratefully acknowledges a long-term and productive collaboration with Vicky Lynn Karen on the mathematical properties of lattices and their practical applications.  ...  Lattice-Matching Procedure Based on Reduced Cells The basic identification strategy is to check the lattice of the unknown (or an existing lattice) against all lattices in a database for a match and then  ...  of lattice matching generally produces a limited and meaningful set of matches.  ... 
doi:10.6028/jres.108.039 pmid:27413622 pmcid:PMC4844519 fatcat:zvriybx7hfcpdnd7q2tpnv34zy

Lattice-Constant and Band-Gap Tuning in Wurtzite and Zincblende BInGaN Alloys [article]

Kevin P. Greenman, Logan Williams, Emmanouil Kioupakis
2019 arXiv   pre-print
The lattice match with GaN decreases strain and enables thicker active layers that mitigate Auger recombination and increase the efficiency of the LEDs.  ...  We find that the wurtzite phase is more stable and can be lattice-matched to GaN for BInGaN compositions containing up to ~30% boron.  ...  ACKNOWLEDGMENTS This work was supported by the Designing Materials to Revolutionize and Engineer our Future  ... 
arXiv:1905.00467v1 fatcat:p7jlc2lvnnh4dgmxplhadfjkou

Spectral and structural stability properties of charged particle dynamics in coupled latticesa)

Hong Qin, Moses Chung, Ronald C. Davidson, Joshua W. Burby
2015 Physics of Plasmas  
It is shown that for periodic coupled lattices that are spectrally and structurally stable, the matrix envelope equation must admit matched solutions.  ...  A theoretical framework and associated tools for analyzing the spectral and structural stability properties of coupled lattices are formulated in this paper, based on the recently developed generalized  ...  It is has been demonstrated that for coupled lattices that are spectrally and structurally stable, the matrix envelope equation must admit matched solutions.  ... 
doi:10.1063/1.4920961 fatcat:rf7dzruhrvblrixhgmm5jcfi4u

MBE growth and characterization of a II–VI distributed Bragg reflector and microcavity lattice-matched to MgTe

J.-G. Rousset, J. Kobak, T. Slupinski, T. Jakubczyk, P. Stawicki, E. Janik, M. Tokarczyk, G. Kowalski, M. Nawrocki, W. Pacuski
2013 Journal of Crystal Growth  
We present the realization and characterization of a 20 fold, fully lattice-matched epitaxial distributed Bragg reflector based on (Cd,Zn)Te and (Cd,Zn,Mg)Te layers.  ...  Reflectivity spectra, photoluminescence in real space and in far field are presented.  ...  Research was carried out with the use of CePT, CeZaMat and NLTK infrastructures financed by the European Union -the European Regional Development Fund within the Operational Programme "Innovative economy  ... 
doi:10.1016/j.jcrysgro.2012.12.114 fatcat:z74n5kskkjdy3aol5j2ewevzry

NIST crystallographic databases for research and analysis

A.D. Mighell, V.L. Karen
1996 Journal of Research of the National Institute of Standards and Technology  
Availability: Databases and Software To obtain information on converse-transformation analysis and scientific software for analyzing lattice relationships (NIST*LATTICE), contact Vicky Lynn Karen (email  ...  Using lattice-matching techniques, each incoming structure can routinely be checked against the database to see if the compound or a related structure has been previously studied.  ...  Identification Strategy The basic identification strategy is to check the lattice of the unknown against all lattices in the database for a match and then to exclude unwanted matches on the basis of chemical  ... 
doi:10.6028/jres.101.028 pmid:27805164 pmcid:PMC4894615 fatcat:pshnlhaflzbf5fiu2v2a7ilipq

Electronic band structure calculations for GaxIn1−xASyP1−yalloys lattice matched to InP

A Bechiri, F Benmakhlouf, H Allouache, S Bacha, N Bouarissa
2012 IOP Conference Series: Materials Science and Engineering  
A pseudopotential formalism coupled with the virtual crystal approximation are applied to study the effect of compositional disorder upon electronic band structure of cubic  ...  Information on the energy band gap and the lattice matching condition to available substrates is a prerequisite for many practical applications.  ...  There has been little motivation to pursue the band structure of GaInAsP lattice matched to GaAs, since its direct band gap spans roughly the same range as direct-gap AlGaAs, that is considerably 1 To  ... 
doi:10.1088/1757-899x/28/1/012004 fatcat:wydmrv25svgpdpas6pjnwh24le

Matching effect and flux pinning force in a Nb superconducting thin film with a triangular lattice of artificial pinning centers

Lance Horng, J.C. Wu, P.C. Kang, T.C. Wu, T.J. Yang
2004 Journal of Magnetism and Magnetic Materials  
The phenomenon is related to the presence of pinning structures at matching fields. r  ...  A strong pinning force in a Nb superconducting thin film is formed by a triangular lattice of defects due to the structural corrugation that acts as pinning centers.  ...  In the low current density region, the flux vortices tend to form a triangle lattice easily at matching field that the vortex lattice configuration can sustain the driving force with less energy loss.  ... 
doi:10.1016/j.jmmm.2003.12.1040 fatcat:xjymo3fq6vcxjhezw3e2l7fqhe
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