Research StatementComputational and Discrete Geometry,
Combinatorics,
Computer Graphics and Visualization,
Human Computer Interaction,
Automated Theorem Proving,
Scientific Computing, and
Markov chains for problems from discrete geometry.
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Gill Barequet, Mira Shalah, and Yufei Zheng, An Improved Lower Bound on the Growth Constant of Polyiamonds, Proc. 23rd Ann. Int. Computing and Combinatorics Conference (COCOON), 50-61, 2017.
@inproceedings{BSZ17,
author = {Gill Barequet and Mira Shalah and Yufei Zheng},
title = {An Improved Lower Bound on the Growth Constant of Polyiamonds},
booktitle = {Proceedings of the 22nd International Computing and Combinatorics Conference (COCOON)},
month = {August},
year = {2017},
venue = {Hong Kong, China},
pages = {50--61},
}
Gill Barequet and Mira Shalah, Proper n-cell Polycubes in n-k Dimensions, European Journal of Combinatorics , 63, 146-163, June 2017.
@article{JBS17,
author = {Gill Barequet and Mira Shalah},
title = {Proper $n$-cell Polycubes in $n-k$ Dimensions},
journal = {European Journal of Combinatorics (YEUJC)},
volume = {63},
pages = {146--163},
month = {June},
year = {2017},
}
Gill Barequet, Gunter Rote and Mira Shalah, λ > 4 : an improved lower bound on the growth constant of polyominoes, Communications of the ACM, 59 (7), 88-95, July 2016.
@article{JBRS16,
author = {Gill Barequet and Gunter Rote and Mira Shalah},
title = {$lambda > 4$ :: an improved lower bound on the growth constant of polyominoes},
journal = {Communications of the ACM (CACM)},
volume = {59},
pages = {88--95},
month = {July},
year = {2016},
}
Gill Barequet and Mira Shalah, Automatic Proofs for Formulae Enumerating Proper Polycubes, Proc. 8th European Conf. on Combinatorics, Graph Theory, and Applications (EuroComb), 49, 145-151, 2015.
@inproceedings{CBS15,
author = {Gill Barequet and Mira Shalah},
title = {Automatic Proofs for Formulae Enumerating Proper Polycubes},
booktitle = {Proceedings of the 8th European Conference on Combinatorics, Graph Theory and Applications (EuroComb)},
venue = {Bergen, Norway},
volume = {49},
pages = {145--151},
year = {2015},
month = {August--September},
}
Gill Barequet, Gunter Rote and Mira Shalah, λ > 4, Proc. 23rd Ann. European Symp. on Algorithms (ESA), 83-94, 2015.
@inproceedings{CBRS15,
author = {Gill Barequet and Gunter Rote and Mira Shalah},
title = {$lambda > 4$},
booktitle = {Proceedings of the 23rd European Symposium on Algorithms (ESA)},
pages = {83--94},
year = {2015},
venue = {Patras, Greece},
month = {September},
}
Gill Barequet and Mira Shalah, Automatic Proofs for Formulae Enumerating Proper Polycubes, Video Review at the 31st Symposium on Computational Geometry (SoCG), 19-22, June 2015.
@inproceedings{VBS15,
author = {Gill Barequet and Mira Shalah},
title = {Automatic Proofs for Formulae Enumerating Proper Polycubes},
booktitle = {Video Review at the 31st Symposium on Computational Geometry (SoCG)},
pages = {19--22},
year = {2015},
url = {https://youtu.be/ojNDm8qKr9A},
venue = {Eindhoven, Netherlands},
month = {June},
}
Gill Barequet and Mira Shalah, Polyominoes on Twisted Cylinders, Video Review at the 29th Symposium on Computational Geometry (SoCG), 339-340, June 2013.
@inproceedings{VBS13,
author = {Gill Barequet and Mira Shalah},
title = {Polyominoes on Twisted Cylinders},
booktitle = {Video Review at the 29th Symposium on Computational Geometry (SoCG)},
pages = {339--340},
year = {2013},
url = {https://youtu.be/MZcd1Uy4iv8},
venue = {Rio de Janeiro, Brazil},
month = {June},
}
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