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The reconstruction of a subclass of domino tilings from two projections

A. Frosini, G. Simi
<span title="">2005</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lx7dev2le5anbg6oarljwh7lie" style="color: black;">Discrete Applied Mathematics</a> </i> &nbsp;
We generalize an algorithm for the reconstruction of domino tilings of degree two from two projections, to domino tilings of degree three and four.  ...  We present a new way of studying the classical and still unsolved problem of the reconstruction of a domino tiling from its row and column projections.  ...  reconstruction algorithm to domino tilings of complexity degree three and four.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.dam.2005.02.032">doi:10.1016/j.dam.2005.02.032</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xcmztqazqnhzdf5zsaakglqp4y">fatcat:xcmztqazqnhzdf5zsaakglqp4y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190223071312/https://core.ac.uk/download/pdf/82376033.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/11/17/1117eb3e85102bc8f4308ebb3daf0fd9006afb32.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.dam.2005.02.032"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

The space of circular planar electrical networks [article]

Richard W. Kenyon, David B. Wilson
<span title="2016-09-17">2016</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We discuss several parametrizations of the space of circular planar electrical networks.  ...  The conductances of edges in a standard network can be computed as a biratio of Pfaffians constructed from the response matrix.  ...  We thank the referees for helpful comments and a careful review of the paper.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1411.7425v3">arXiv:1411.7425v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/uzn5wojltzb3rnit6rwppqy3oa">fatcat:uzn5wojltzb3rnit6rwppqy3oa</a> </span>
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Working Memory Processes Are Mediated by Local and Long-range Synchronization of Alpha Oscillations

Maite Crespo-Garcia, Diego Pinal, Jose L. Cantero, Fernando Díaz, Montserrat Zurrón, Mercedes Atienza
<span title="">2013</span> <i title="MIT Press - Journals"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/rvtepewc6vewtddjhxdnivd43q" style="color: black;">Journal of Cognitive Neuroscience</a> </i> &nbsp;
To address this question, we increased information load by manipulating the number and spatial configuration of domino spots.  ...  ii) load-dependent decreases of alpha power over areas of the left pFC and bilateral posterior parietal cortex (PPC) preceded in time by load-dependent decreases of alpha-phase synchrony between the left  ...  Acknowledgments This study was supported by research grants from the Spanish Ministry of Science and Innovation MICINN (SEF2007-67964-C02-02, SAF2011-25463, BES-2008-005929, PSI2010-22224-C03-03,  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1162/jocn_a_00379">doi:10.1162/jocn_a_00379</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/23469886">pmid:23469886</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4owf2uoapjf6vmpqn6w7e3haae">fatcat:4owf2uoapjf6vmpqn6w7e3haae</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201107023538/https://www.upo.es/neuroaging/es/Images/publications/pdf/Journal_of_Cognitive_Neuroscience_2013.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/7a/14/7a145f9993c003fc9c85a29cb07a363f1bb2a559.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1162/jocn_a_00379"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> mitpressjournals.org </button> </a>

Computational Issues in Biomedical Nanometrics and Nano-Materials

Heng Huang, Li Shen, James Ford, Yu Hang Wang, Yu Rong Xu
<span title="">2008</span> <i title="Trans Tech Publications"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tc5frkllwvbcfg7lwqsdp76xp4" style="color: black;">Journal of Nano Research</a> </i> &nbsp;
It is widely recognized as one of the most potentially beneficial applications of nanotechnology to industry and society to date.  ...  Biomedical Nanotechnology is an emerging area of great scientific and technological opportunity.  ...  Due to the very compact form of DNA molecules, the degree of parallelism (due to distinct tiling assemblies) may be up to 10 [15] to possibly 10 [18] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4028/www.scientific.net/jnanor.1.50">doi:10.4028/www.scientific.net/jnanor.1.50</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/prlk2t7dhbdifgdfsp76i7kmim">fatcat:prlk2t7dhbdifgdfsp76i7kmim</a> </span>
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Fixed-point tile sets and their applications [article]

Bruno Durand
<span title="2014-12-04">2014</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
An aperiodic tile set was first constructed by R. Berger while proving the undecidability of the domino problem.  ...  tiling), to give a new proof for the undecidability of the domino problem and related results, characterize effectively closed 1D subshift it terms of 2D shifts of finite type (improvement of a result  ...  where some of these results were presented.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/0910.2415v7">arXiv:0910.2415v7</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zbttnbj6xneu7bvdwwqhvv2rje">fatcat:zbttnbj6xneu7bvdwwqhvv2rje</a> </span>
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Fixed-point tile sets and their applications

Bruno Durand, Andrei Romashchenko, Alexander Shen
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p6ovb2qpkfenhmb7mcksobrcxq" style="color: black;">Journal of computer and system sciences (Print)</a> </i> &nbsp;
An aperiodic tile set was first constructed by R. Berger while proving the undecidability of the domino problem.  ...  the domino problem and related results, to characterize effectively closed one-dimensional subshifts in terms of two-dimensional subshifts of finite type (an improvement of a result by M.  ...  2009, [10] ) where some of these results were presented.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcss.2011.11.001">doi:10.1016/j.jcss.2011.11.001</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/axg6bctbkjhtzpfc6kt6mqeraq">fatcat:axg6bctbkjhtzpfc6kt6mqeraq</a> </span>
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Complex tilings

Bruno Durand, Leonid A. Levin, Alexander Shen
<span title="">2008</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4l7nckgxmbcgvj5vxsioq6qwyq" style="color: black;">Journal of Symbolic Logic (JSL)</a> </i> &nbsp;
This adds a quantitative angle to classical results on non-recursivity of tilings—that we also develop in terms of Turing degrees of unsolvability.  ...  We study the minimal complexity of tilings of a plane with a given tile set. We note that every tile set admits either no tiling or some tiling with Kolmogorov complexity of its (n × n)-squares.  ...  Turing degrees of tilings In this section we are concerned with Turing-degrees of tilings; we provide a simple direct proof of the following theorem.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2178/jsl/1208359062">doi:10.2178/jsl/1208359062</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4zctxdohsrexbea5avyint2xb4">fatcat:4zctxdohsrexbea5avyint2xb4</a> </span>
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Planar maps and random partitions [article]

Jérémie Bouttier
<span title="2019-12-14">2019</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Chapter 4 deals with random partitions and Schur processes, from steep domino tilings to fermionic systems.  ...  Chapter 1 is about their metric properties: from a general map-mobile bijection, we compute the three-point function of quadrangulations, before discussing the connection with continued fractions.  ...  Consider the domino tiling represented on the left of Figure 4 .1, which we call the fundamental tiling.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1912.06855v1">arXiv:1912.06855v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/x65e5afnc5apldlvdvxk64ruke">fatcat:x65e5afnc5apldlvdvxk64ruke</a> </span>
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Master index of volumes 221-230

<span title="">2001</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/civgv5utqzhu7aj6voo6vc5vx4" style="color: black;">Discrete Mathematics</a> </i> &nbsp;
Kramer, Tiles-in#ation rules for the class of canonical tilings TH $ derived by the projection method 221 (2000) 101}112 Park, J.Y., The weight hierarchies of outer product codes 224 (2000) 193}205 Patkar  ...  RammH rez AlfonsmH n, On reconstructing arrangements from their sets of simplices 226 (2001) 175}190 Fraenkel, A.S., On the recurrence f K> "b K f K !  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0012-365x(01)00058-9">doi:10.1016/s0012-365x(01)00058-9</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xoeto3fhfra5dhyjrww2tymguu">fatcat:xoeto3fhfra5dhyjrww2tymguu</a> </span>
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Wang tiling for particle heterogeneous materials: Algorithms for generation of tiles/cubes via molecular dynamics

David Šedlbauer, Matěj Lepš
<span title="">2019</span> <i title="University of West Bohemia"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vxqmkfteergm3k4eftacebzik4" style="color: black;">Applied and Computational Mechanics</a> </i> &nbsp;
The traditional concept of the Periodic Unit Cell is compared with a novel approach of the stochastic Wang tiling.  ...  An extension of the stochastic Wang tiling enables to create 3D structures, as well.  ...  Acknowledgements The financial support of the Grant Agency of the Czech Technical University in Prague, the grant No.: SGS18/036/OHK1/1T/11, is gratefully acknowledged.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.24132/acm.2019.537">doi:10.24132/acm.2019.537</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/g2dp4dnyvfg33jiml2c4teds5e">fatcat:g2dp4dnyvfg33jiml2c4teds5e</a> </span>
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On bounded Wang tilings [article]

Marek Tyburec, Jan Zeman
<span title="2022-05-04">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Finally, we benchmark the performance of the integer programming formulations and of the heuristic algorithms showing that the heuristics provides very competitive outputs in a fraction of time.  ...  Motivated by emerging applications in materials engineering, we consider the bounded version of the tiling problem and offer four integer programming formulations to construct valid or nearly-valid Wang  ...  Acknowledgments We thank Stephanie Krueger for proofreading the initial draft of this manuscript.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2205.02295v1">arXiv:2205.02295v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/siy5ouwpofem5dd5nkc4avmkfq">fatcat:siy5ouwpofem5dd5nkc4avmkfq</a> </span>
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Short PCPs with Polylog Query Complexity

Eli Ben-Sasson, Madhu Sudan
<span title="">2008</span> <i title="Society for Industrial &amp; Applied Mathematics (SIAM)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/7dys7zoberdktmxyjciuy5bnse" style="color: black;">SIAM journal on computing (Print)</a> </i> &nbsp;
In contrast, previous constructions of short PCPs, beginning with [5] and until the recent [9], relied extensively on properties of low-degree polynomials in many variables.  ...  polynomial of specified degree.  ...  . , A m of individual degree at most d such that Q Definition 5. 1 ( 1 Domino Tiling).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1137/050646445">doi:10.1137/050646445</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qoemxaexdvff5dwf4apsv4vrwi">fatcat:qoemxaexdvff5dwf4apsv4vrwi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808090120/http://www.cs.technion.ac.il/%7Eeli/papers/poly-log-pcp.journal-final.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9b/7a/9b7aa07f0ff31a601bb773897093c4c1ea98dc34.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1137/050646445"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

FLARE: Fast layout for augmented reality applications

Ran Gal, Lior Shapira, Eyal Ofek, Pushmeet Kohli
<span title="">2014</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ov2wd32qfrczbpod3vobnt275i" style="color: black;">2014 IEEE International Symposium on Mixed and Augmented Reality (ISMAR)</a> </i> &nbsp;
Under our framework, the developer of an AR application specifies a set of rules (constraints) which enforce self-consistency (rules regarding the inter-relationships of application components) and sceneconsistency  ...  them (b) in real-time we analyze an environment to extract scene geometry and horizontal and vertical planes (c) our move-making algorithm targets the application to the room (d) an additional result of  ...  Figure 4 : Visualization of the three qualitative evaluation scenarios: (a) A set of domino tiles set on a curve.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/ismar.2014.6948429">doi:10.1109/ismar.2014.6948429</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/ismar/GalSOK14.html">dblp:conf/ismar/GalSOK14</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/f5iuxcmbhjbijbssvytxrgbhru">fatcat:f5iuxcmbhjbijbssvytxrgbhru</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20151015124405/http://research.microsoft.com/pubs/225019/layoutopt_short_optimized.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5f/0b/5f0b678362772b7813756a313dae4b9f21934bd5.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/ismar.2014.6948429"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

On the problem of the correct interpretation of phason elasticity in quasicrystals [article]

G. Coddens
<span title="2005-06-17">2005</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We will show that the data reported call for a more detailed development of the elasticity theory of Jaric and Nelsson in order to determine the nature of small phonon-like atomic displacements with a  ...  Recently Francoual et al. claimed to have observed the dynamics of long-wavelength phason fluctuations in i-AlPdMn quasicrystals.  ...  The primordial claim of the random tiling, the low-T periodic phase has not been observed!  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/cond-mat/0401353v3">arXiv:cond-mat/0401353v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3zns7nuj2ncpnopwrjph3awtk4">fatcat:3zns7nuj2ncpnopwrjph3awtk4</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-cond-mat0401353/cond-mat0401353.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/63/4d/634da8ac156dd427e9e03b497cd3fd437d8e6aef.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/cond-mat/0401353v3" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Master index of volumes 161–170

<span title="">1997</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/civgv5utqzhu7aj6voo6vc5vx4" style="color: black;">Discrete Mathematics</a> </i> &nbsp;
Thuillier, On transversals in minimal imperfect graphs 165/166 (1997) 301-312 Fournier, J.c., Tiling pictures of the plane with dominoes 165/166 (1997) 313-320 Frick, M., see G.  ...  Ringel 165/166 (1997) 587-595 Lowe, M., see I. Althofer 162 (1996) 267-271 Lone, Z., Delta-system decompositions of graphs 164 (1997) 221-224 Lu, M., see H.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0012-365x(97)80759-5">doi:10.1016/s0012-365x(97)80759-5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gk2zgbbx5nbnzbtsvdvo2mkqbi">fatcat:gk2zgbbx5nbnzbtsvdvo2mkqbi</a> </span>
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