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Topological Stability of Kinetic k-centers [chapter]

Ivor Hoog v.d., Marc van Kreveld, Wouter Meulemans, Kevin Verbeek, Jules Wulms
2018 Lecture Notes in Computer Science  
If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User  ...  published version features the final layout of the paper including the volume, issue and page numbers.  ...  We first introduce some tools to help us model and reason about these transformations. 2:2 Topological stability of kinetic k-centers 2-colored intersection graphs.  ... 
doi:10.1007/978-3-030-10564-8_4 fatcat:gftteghdcvhhzm7aua3ee34qhi

Topological Stability of Kinetic k-Centers [article]

Ivor van der Hoog, Marc van Kreveld, Wouter Meulemans, Kevin Verbeek, Jules Wulms
2021 arXiv   pre-print
Instead, we study the topological stability of k-centers. Topological stability was recently introduced and simply requires the solution to change continuously, but may do so arbitrarily fast.  ...  We study the k-center problem in a kinetic setting: given a set of continuously moving points P in the plane, determine a set of k (moving) disks that cover P at every time step, such that the disks are  ...  Conclusion We considered the topological stability of common variants of the kinetic k-center problem, in which solutions must change continuously but may do so arbitrarily fast.  ... 
arXiv:1810.00794v2 fatcat:unje3yxxwjhopgowka6qcnpwkq

A Framework for Algorithm Stability and Its Application to Kinetic Euclidean MSTs [chapter]

Wouter Meulemans, Bettina Speckmann, Kevin Verbeek, Jules Wulms
2018 Lecture Notes in Computer Science  
Specifically, Durocher and Kirkpatrick [9] study the stability of centers of kinetic point sets, and define the notion of κ-stable center functions, which is closely related to our concept of Lipschitz  ...  Lipschitz stability of EMSTs We use the same setting of the kinetic EMST problem as in Section 4.2, except that, instead of topologies, we specify metrics for I and S.  ... 
doi:10.1007/978-3-319-77404-6_58 fatcat:ppdsa32kynhnhfxwbqi7ypjif4

A Framework for Algorithm Stability [article]

Wouter Meulemans, Bettina Speckmann, Kevin Verbeek, Jules Wulms
2018 arXiv   pre-print
We demonstrate the use of our stability framework by applying it to kinetic Euclidean minimum spanning trees.  ...  Our framework allows for three types of stability analysis with increasing degrees of complexity: event stability, topological stability, and Lipschitz stability.  ...  study the stability of centers of kinetic point sets, and define the notion of κ-stable center functions, which is closely related to our concept of Lipschitz stability.  ... 
arXiv:1704.08000v2 fatcat:3iuaqeswyfbdtk2czx5nr4g2dm

Ubiquinone (coenzyme Q10) binding sites: Low dielectric constant of the gate prevents the escape of the semiquinone

V.P. Shinkarev
2006 FEBS Letters  
To resolve this apparent contradiction I suggest that a significant part of the kinetic stabilization of the SQ is achieved by the special topology of the binding site in which quinone can exit the binding  ...  The large energetic penalty of transferring the charged headgroup to the membrane dielectric can explain the observed kinetic stability of the SQ.  ...  Typical representatives of this group are one-electron acceptor quinones in photosynthetic reaction centers (RCs) of purple bacteria and Photosystem II, and K A and K B in Photosystem I.  ... 
doi:10.1016/j.febslet.2006.04.022 pmid:16647706 fatcat:xzvwf5faznh7niwvhkncypeyem

Triplet carbenes: From fleeting existence to attractive molecular units

H. Tomioka
2003 Pure and Applied Chemistry  
Attempts to stabilize the triplet state of carbenes to the extent that they can survive under normal conditions were made, in which triplet carbenes having a half-life of 19 min are realized.  ...  ACKNOWLEDGMENT The authors are grateful to the Ministry of Education, Science and Culture of Japan for support of this work through a Grant-in-Aid for Scientific Research for Specially Promoted Research  ...  The extensive delocalization is expected to stabilize this carbene thermodynamically, while the perpendicular geometry of the anthryl group stabilizes the carbene center kinetically through shielding with  ... 
doi:10.1351/pac200375081041 fatcat:zj7hdfnlbbardhyvopraxwn6fm

Generality of topological inflation

Nobuyuki Sakai
2003 Classical and quantum gravity  
This is due to stability of false vacuum.  ...  We show that those arguments do not apply to topological inflation.  ...  This work was supported in part by the exchanging-researcher project between Japan Society for the Promotion of Science and National Research Council of Italy, 2003, and by Ministry of Education, Culture  ... 
doi:10.1088/0264-9381/21/1/020 fatcat:ydmratpswrgqpcb4qngputvapa

Interplay between topological and thermodynamic stability in a metastable magnetic skyrmion lattice

Hiroshi Oike, Akiko Kikkawa, Naoya Kanazawa, Yasujiro Taguchi, Masashi Kawasaki, Yoshinori Tokura, Fumitaka Kagawa
2015 Nature Physics  
topological stability remain unclear.  ...  The manipulation of a delicate balance between thermal agitation and the topological stability enables a deterministic creation/annihilation of the metastable SkL by exploiting electric heating and subsequent  ...  the topological stability and the thermal agitation.  ... 
doi:10.1038/nphys3506 fatcat:gbd2la2bxvg3beu6zr6wkg4lwu

Frequency-domain analysis of electromechanical disturbances in electric power systems

S. Mohapatra, Hao Zhu, T. J. Overbye
2013 2013 IEEE Power and Energy Conference at Illinois (PECI)  
J ΔΩ J    , where   t ΔΩ 10 and reg K J ΔΩ J ΔΩ J J ΔΩ J ΔΩ J ΔΩ JJ J J J   is the reduced moment of inertia.  ...  The excess kinetic energy of the mutual motion of the unstable pair subsystems becomes an energy characteristic of the loss of synchronism.  ...      , locs regs sys loc reg sys s s ΔK t K t K t K t K t K t K t         where loc K , reg K , sys K -kinetic energies of local oscillatory processes in subsystems, regional oscillatory processes  ... 
doi:10.1109/peci.2013.6506063 fatcat:dhs44hbrnvbuno5w5h7pnd4bda

Circularization changes the folding transition state of the src SH3 domain11Edited by C. R. Matthews

Viara P Grantcharova, David Baker
2001 Journal of Molecular Biology  
kinetic analysis on point mutations in the context of these modi®ed proteins.  ...  Native state topology has been implicated as a major determinant of protein-folding mechanisms.  ...  We are grateful to members of the Baker group for their useful comments on the manuscript. This work was supported by a grant from the NIH and Young Investigator awards to D.  ... 
doi:10.1006/jmbi.2000.4352 pmid:11178913 fatcat:byna7d75ifgm3pg2kl57ge65um

Modeling evolutionary landscapes: Mutational stability, topology, and superfunnels in sequence space

E. Bornberg-Bauer, H. S. Chan
1999 Proceedings of the National Academy of Sciences of the United States of America  
In both models, sequences in a majority of neutral nets center around a single "prototype sequence" of maximum mutational stability, tolerating the largest number of neutral mutations.  ...  These observations offer a unified perspective on sequence design, native stability, and mutational stability of proteins.  ...  C. thanks the Medical Research Council of Canada (MT-15323) and the Connaught Fund for financial support.  ... 
doi:10.1073/pnas.96.19.10689 pmid:10485887 pmcid:PMC17944 fatcat:joosjxgxijapbmrjmkde6ziga4

Synthesis and Characterization of 2D Metal-Organic Frameworks for Adsorption of Carbon Dioxide and Hydrogen

Piwai Tshuma, Banothile C. E. Makhubela, Christophe A. Ndamyabera, Susan A. Bourne, Gift Mehlana
2020 Frontiers in Chemistry  
mmol g-1) at 298 and 273 K respectively.  ...  The MOFs possess 2D interdigited networks with (sql) topology.  ...  The University of Johannesburg Center of Synthesis, Catalysis and Spectrum is also acknowledged for availing their facilities.  ... 
doi:10.3389/fchem.2020.581226 pmid:33251183 pmcid:PMC7674654 fatcat:kdyah6krqngchob4qfzcbuu5ye

Topologically protected interface phonons in two-dimensional nanomaterials: hexagonal boron nitride and silicon carbide

Jin-Wu Jiang, Bing-Shen Wang, Harold S. Park
2018 Nanoscale  
We perform both lattice dynamics analysis and molecular dynamics simulations to demonstrate the existence of topologically protected phonon modes in two-dimensional, monolayer hexagonal boron nitride and  ...  To further demonstrate the stability of the energy localized at the topological interface, we simulate the kinetic energy localized within a closed parallelogram shaped interface.  ...  (a) Hexagonal lattice structure of graphene of D 6h symmetry, including the inversion center. (b) The hexagonal reciprocal lattice. Γ, M, and K are high symmetry points in the first Brillouin zone.  ... 
doi:10.1039/c8nr04314k pmid:29999511 fatcat:vfnbxhpo7jgvhbuixon3gwe53y

Zirconium-Metalloporphyrin PCN-222: Mesoporous Metal-Organic Frameworks with Ultrahigh Stability as Biomimetic Catalysts

Dawei Feng, Zhi-Yuan Gu, Jian-Rong Li, Hai-Long Jiang, Zhangwen Wei, Hong-Cai Zhou
2012 Angewandte Chemie International Edition  
The integration of a high density of catalytic centers, ultra-large open channels, and the extraordinary chemical stability of PCN-222(Fe) suggests a bright future for building MOF-based platforms for  ...  Considering the fast rate of such a catalytic reaction, complete utilization of the porphyrin centers is limited by the diffusion rate of the substrates, which indicates that the actual k cat values of  ... 
doi:10.1002/anie.201204475 pmid:22907870 fatcat:67wnuxraejecfa4m6ztfjhylje

Zirconium-Metalloporphyrin PCN-222: Mesoporous Metal-Organic Frameworks with Ultrahigh Stability as Biomimetic Catalysts

Dawei Feng, Zhi-Yuan Gu, Jian-Rong Li, Hai-Long Jiang, Zhangwen Wei, Hong-Cai Zhou
2012 Angewandte Chemie  
The integration of a high density of catalytic centers, ultra-large open channels, and the extraordinary chemical stability of PCN-222(Fe) suggests a bright future for building MOF-based platforms for  ...  Considering the fast rate of such a catalytic reaction, complete utilization of the porphyrin centers is limited by the diffusion rate of the substrates, which indicates that the actual k cat values of  ... 
doi:10.1002/ange.201204475 fatcat:m7adnk5wbza5riayob23ti2mxe
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