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\n  \n 2026\n \n \n (6)\n \n \n
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\n \n\n \n \n \n \n \n Search versus Search for Collapsing Electoral Control Types.\n \n \n \n\n\n \n Carleton, B.; Chavrimootoo, M.; Hemaspaandra, L.; Narváez, D.; Taliancich, C.; and Welles, H.\n\n\n \n\n\n\n Theory of Computing Systems. 2026.\n To appear.\n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{car-cha-hem-nar-tal-wel:j:s-vs-s, \r\n  author    = {B. Carleton and M. Chavrimootoo and L. Hemaspaandra and D. Narv\\'{a}ez and C. Taliancich and H. Welles},\r\n  title     = {Search versus Search for Collapsing Electoral Control Types},\r\n  Year="2026",\r\n  journal=tocs,\r\n  note="To appear."\r\n}\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n Linked Fates: How Small of an Ambiguity Increase Can Make the Difference Between Equaling and Separating from P\\@?.\n \n \n \n \n\n\n \n B. Carleton; M. Chavrimootoo; L. Hemaspaandra; D. Narváez; C. Taliancich; and M. Welsh\n\n\n \n\n\n\n Technical Report arXiv:2606.20399 [cs.CC], Computing Research Repository, arXiv.org/corr/, June 2026.\n \n\n\n\n
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@techreport{car-cha-hem-nar-tal-wel:t:linked-fates,\r\n  Author = {B.~Carleton and M.~Chavrimootoo and L.~Hemaspaandra and D.~Narv\\'{a}ez and C.~Taliancich and M.~Welsh},\r\n  title     = {Linked Fates: How Small of an Ambiguity Increase Can Make \r\n\t\tthe Difference Between Equaling and Separating from {P}\\@?},\r\n  Month = jun,\r\n  Year = "2026",\r\n  Institution = "Computing Research Repository",\r\n  Number = "arXiv:2606.20399 [cs.CC]",\r\n  Address = {arXiv.org/corr/},\r\n  url_link = {https://arxiv.org/abs/2606.20399}\r\n}\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n Approximating Electoral Control Problems (Extended Abstract).\n \n \n \n \n\n\n \n Bui, H.; Chavrimootoo, M.; Le, K.; and Nguyen, S.\n\n\n \n\n\n\n In Proceedings of the 25th International Conference on Autonomous Agents and Multiagent Systems, pages 3347-3349, May 2026. International Foundation for Autonomous Agents and Multiagent Systems\n \n\n\n\n
\n\n\n\n \n \n \"Approximating link\n  \n \n \n \"Approximating poster\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@inproceedings{bui-cha-le-ngu:c-ea:approx-control,\r\n\tauthor    = {H. Bui and M. Chavrimootoo and K. Le and S. Nguyen},\r\n\ttitle     = {Approximating Electoral Control Problems (Extended Abstract)},\r\n\tyear      = {2026},\r\n\tbooktitle=aamas26,\r\n\tpages     = {3347-3349},\r\n\tmonth     = "May",                 \r\n \tpublisher = ifaamas,\r\n\turl_Link = {https://www.ifaamas.org/Proceedings/aamas2026/pdfs/GEOD7219.pdf},\r\n\turl_Poster = {archival/aamas2026-approx-poster.pdf}\r\n}\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n Axiomatic Tools for Separating Electoral Control Types, with Applications to Concrete Systems.\n \n \n \n \n\n\n \n M. Chavrimootoo; I. Clingerman; E. Ferland; E. Gibson; L. Hemaspaandra; Q. Luu; D. Narváez; and Y. Wang\n\n\n \n\n\n\n Technical Report arXiv:2606.12039 [cs.GT], Computing Research Repository, arXiv.org/corr/, May 2026.\n \n\n\n\n
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@techreport{cha-cli-fer-gib-hem-luu-nar-wan:t:rtr,\r\n  Author = {M.~Chavrimootoo and I.~Clingerman and E.~Ferland and E.~Gibson and L.~Hemaspaandra and Q.~Luu and D.~Narv\\'{a}ez and Y.~Wang},\r\n  title     = {Axiomatic Tools for Separating Electoral Control Types, with\r\n  Applications to Concrete Systems},\r\n  Month = may,\r\n  Year = "2026",\r\n  Institution = "Computing Research Repository",\r\n  Number = "arXiv:2606.12039 [cs.GT]",\r\n  Address = {arXiv.org/corr/},\r\n  url_link = {https://arxiv.org/abs/2606.12039}\r\n}\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n The Cost of Failure: On The Complexity of Recampaigning under Fixed Districts.\n \n \n \n \n\n\n \n Chavrimootoo, M.; and Jeansonne, A.\n\n\n \n\n\n\n Technical Report arXiv:2601.13246 [cs.GT], Computing Research Repository, arXiv.org/corr/, January 2026.\n \n\n\n\n
\n\n\n\n \n \n \"The link\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@techreport{cha-jea:t:recampaigning,\r\n  Author = {M. Chavrimootoo and A. Jeansonne},\r\n  title     = {The Cost of Failure: {On} The Complexity of Recampaigning under Fixed Districts},\r\n  Month = jan,\r\n  Year = "2026",\r\n  Institution = "Computing Research Repository",\r\n  Number = "arXiv:2601.13246 [cs.GT]",\r\n  Address = {arXiv.org/corr/},\r\n  url_link = {https://arxiv.org/abs/2601.13246}\r\n}\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n Carrying is Hard: Exploring the Gap between Hardness for NP and PSPACE for the Hanano and Jelly no Puzzles.\n \n \n \n \n\n\n \n Chavrimootoo, M.; and Youn, J.\n\n\n \n\n\n\n Technical Report arXiv:2601.08057 [cs.CC], Computing Research Repository, arXiv.org/corr/, January 2026.\n \n\n\n\n
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@techreport{cha-you:t:carrying-hard,\r\n  Author = {M. Chavrimootoo and J. Youn},\r\n  title     = {Carrying is Hard: {Exploring} the Gap between Hardness for {NP} and {PSPACE} for the {Hanano} and {Jelly} no Puzzles},\r\n  Month = jan,\r\n  Year = "2026",\r\n  Institution = "Computing Research Repository",\r\n  Number = "arXiv:2601.08057 [cs.CC]",\r\n  Address = {arXiv.org/corr/},\r\n  url_link = {https://arxiv.org/abs/2601.08057}\r\n}\r\n\r\n
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\n  \n 2025\n \n \n (3)\n \n \n
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\n \n\n \n \n \n \n \n Search versus Search for Collapsing Electoral Control Types.\n \n \n \n\n\n \n Carleton, B.; Chavrimootoo, M.; Hemaspaandra, L.; Narváez, D.; Taliancich, C.; and Welles, H.\n\n\n \n\n\n\n In Proceedings of the 21st European Conference on Multi-Agent Systems, pages 217–236, 2025. Springer Lecture Notes in Computer Science #15685\n \n\n\n\n
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@inproceedings{car-cha-hem-nar-tal-wel:c:svs,\r\n\tauthor    = {B. Carleton and M. Chavrimootoo and L. Hemaspaandra and \r\n\tD. Narv\\'{a}ez and C. Taliancich and H. Welles},\r\n\ttitle     = {Search versus Search for Collapsing Electoral Control Types},\r\n\tPublisher = "Springer {Lecture Notes in Computer Science \\#15685}",\r\n    Booktitle = eumas24,\r\n\tyear={2025},\r\n\tpages={217--236},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n Defying Gravity and Gadget Numerosity: The Complexity of the Hanano Puzzle and Beyond.\n \n \n \n \n\n\n \n Chavrimootoo, M.\n\n\n \n\n\n\n Information Processing Letters, 187(106520). 2025.\n \n\n\n\n
\n\n\n\n \n \n \"Defying link\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 2 downloads\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{cha:j:hanano, \r\n  Author={M. Chavrimootoo},\r\n  title={Defying Gravity and Gadget Numerosity: {The} Complexity of the {Hanano} {Puzzle} and Beyond},\r\n  Year="2025",\r\n  Volume="187",\r\n  journal=ipl, \r\n  number="106520",\r\n  url_link = {https://www.sciencedirect.com/science/article/pii/S0020019024000504}\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n Approximating Electoral Control Problems.\n \n \n \n \n\n\n \n H. Bui; M. Chavrimootoo; K. Le; and S. Nguyen\n\n\n \n\n\n\n Technical Report arXiv:2509.19279 [cs.GT], Computing Research Repository, arXiv.org/corr/, September 2025.\n \n\n\n\n
\n\n\n\n \n \n \"Approximating link\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@techreport{bui-cha-le-ngu:t:approx-control,\r\n  Author = {H.~Bui and M.~Chavrimootoo and K.~Le and S.~Nguyen},\r\n  title     = {Approximating Electoral Control Problems},\r\n  Month = sep,\r\n  Year = "2025",\r\n  Institution = "Computing Research Repository",\r\n  Number = "arXiv:2509.19279 [cs.GT]",\r\n  Address = {arXiv.org/corr/},\r\n  url_link = {https://arxiv.org/abs/2509.19279}\r\n}\r\n\r\n\r\n
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\n  \n 2024\n \n \n (2)\n \n \n
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\n \n\n \n \n \n \n \n \n Separating and Collapsing Electoral Control Types.\n \n \n \n \n\n\n \n Carleton, B.; Chavrimootoo, M.; Hemaspaandra, L.; Narváez, D.; Taliancich, C.; and Welles, H.\n\n\n \n\n\n\n Journal of Artificial Intelligence Research, 81: 71-116. 2024.\n \n\n\n\n
\n\n\n\n \n \n \"Separating link\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 2 downloads\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{car-cha-hem-nar-tal-wel:j:sct, \r\n  author    = {B. Carleton and M. Chavrimootoo and L. Hemaspaandra and \r\n\tD. Narv\\'{a}ez and \r\n\tC. Taliancich and H. Welles},\r\n  title     = {Separating and Collapsing Electoral Control Types},\r\n  Year="2024",\r\n  Volume="81",\r\n  pages={71-116},\r\n  journal=jair,\r\n  url_link={https://jair.org/index.php/jair/article/view/15483} \r\n}\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n A Brief Note on a Recent Claim about NP-Hard Problems and BQP.\n \n \n \n \n\n\n \n Chavrimootoo, M.\n\n\n \n\n\n\n Technical Report arXiv:2406.08495 [cs.CC], Computing Research Repository, arXiv.org/corr/, Apr 2024.\n \n\n\n\n
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@techreport{cha:t:bqp-np,\r\n  Author={M. Chavrimootoo},\r\n  title={A Brief Note on a Recent Claim about {NP}-Hard Problems and {BQP}},\r\n  Month="Apr",\r\n  Year="2024",\r\n  Institution = "Computing Research Repository",\r\n  Number = "arXiv:2406.08495 [cs.CC]",\r\n  Address = {arXiv.org/corr/},\r\n  url_link = {https://arxiv.org/abs/2406.08495}\r\n}\r\n\r\n\r\n
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\n  \n 2023\n \n \n (7)\n \n \n
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\n \n\n \n \n \n \n \n \n On Czerwinski's \"P $\\neq$ NP relative to a P-complete oracle\".\n \n \n \n \n\n\n \n Chavrimootoo, M.; Le, T.; Reidy, M.; ; and Smith, E.\n\n\n \n\n\n\n Technical Report arXiv:2312.04395 [cs.CC], Computing Research Repository, arXiv.org/corr/, Dec 2023.\n \n\n\n\n
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@techreport{cha-le-rei-smi:t:czerwinski,\r\n  Author = {M. Chavrimootoo and T. Le and M. Reidy and and E. Smith},\r\n  title     = {On Czerwinski's "{P} $\\neq$ {NP} relative to a {P}-complete oracle"},\r\n  Month = "Dec",\r\n  Year = "2023",\r\n  Institution = "Computing Research Repository",\r\n  Number = "arXiv:2312.04395 [cs.CC]",\r\n  Address = {arXiv.org/corr/},\r\n  url_link = {https://arxiv.org/abs/2312.04395}\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n Evaluating the Claims of \"SAT Requires Exhaustive Search\".\n \n \n \n \n\n\n \n Chavrimootoo, M.; He, Y.; Kotler-Berkowitz, M.; Liuson, H.; and Nie, Z.\n\n\n \n\n\n\n Technical Report arXiv:2312.02071 [cs.CC], Computing Research Repository, arXiv.org/corr/, Dec 2023.\n \n\n\n\n
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@techreport{cha-he-kot-liu-nie:t:sat-exp,\r\n  Author = {M. Chavrimootoo and Y. He and M. Kotler-Berkowitz and H. Liuson and Z. Nie},\r\n  title     = {Evaluating the Claims of "{SAT} Requires Exhaustive Search"},\r\n  Month = "Dec",\r\n  Year = "2023",\r\n  Institution = "Computing Research Repository",\r\n  Number = "arXiv:2312.02071 [cs.CC]",\r\n  Address = {arXiv.org/corr/},\r\n  url_link = {https://arxiv.org/abs/2312.02071}\r\n}\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n Defying Gravity and Gadget Numerosity: The Complexity of the Hanano Puzzle.\n \n \n \n \n\n\n \n Chavrimootoo, M.\n\n\n \n\n\n\n In Proceedings of the 25th International Conference on Descriptional Complexity of Formal Systems, pages 36-50, June 2023. \n \n\n\n\n
\n\n\n\n \n \n \"Defying link\n  \n \n \n \"Defying slides\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@inproceedings{cha:c:hanano,\r\n\tauthor    = {M. Chavrimootoo},\r\n\ttitle     = {Defying Gravity and Gadget Numerosity: The Complexity of the Hanano Puzzle},\r\n\tbooktitle = dcfs23,\r\n\tmonth     = "June",                  \r\n\tpages     = {36-50},\r\n\tyear      = {2023},\r\n\turl_Link = {https://link.springer.com/chapter/10.1007/978-3-031-34326-1_3},\r\n\turl_Slides = {hanano_dcfs_slides.pdf},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n Separations and Collapses in Computational Social Choice.\n \n \n \n \n\n\n \n Chavrimootoo, M.\n\n\n \n\n\n\n In Proceedings of the 22nd International Conference on Autonomous Agents and Multiagent Systems, pages 3026-3028, May 2023. International Foundation for Autonomous Agents and Multiagent Systems\n \n\n\n\n
\n\n\n\n \n \n \"Separations link\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 2 downloads\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@inproceedings{cha:c:dc-paper,\r\n\tauthor    = {M. Chavrimootoo},\r\n\ttitle     = {Separations and Collapses in Computational Social Choice},\r\n\tyear      = {2023},\r\n\tbooktitle = aamas23,\r\n\tpages     = {3026-3028},\r\n\tmonth     = "May",                 \r\n \tpublisher = ifaamas,\r\n\turl_Link = {https://www.southampton.ac.uk/~eg/AAMAS2023/pdfs/p3026.pdf},\r\n}\r\n\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n Separating and Collapsing Electoral Control Types.\n \n \n \n \n\n\n \n \n\n\n \n\n\n\n In Proceedings of the 22nd International Conference on Autonomous Agents and Multiagent Systems, pages 1743-1751, May 2023. International Foundation for Autonomous Agents and Multiagent Systems\n \n\n\n\n
\n\n\n\n \n \n \"Separating link\n  \n \n \n \"Separating video\n  \n \n \n \"Separating slides\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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\n \n\n \n \n \n \n \n \n Search versus Search for Collapsing Electoral Control Types (Extended Abstract).\n \n \n \n \n\n\n \n Carleton, B.; Chavrimootoo, M.; Hemaspaandra, L.; Narváez, D.; Taliancich, C.; and Welles, H.\n\n\n \n\n\n\n In Proceedings of the 22nd International Conference on Autonomous Agents and Multiagent Systems, pages 2682-2684, May 2023. International Foundation for Autonomous Agents and Multiagent Systems\n \n\n\n\n
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@inproceedings{car-cha-hem-nar-tal-wel:c-ea:svs,\r\n\tauthor    = {B. Carleton and M. Chavrimootoo and L. Hemaspaandra and \r\n\tD. Narv\\'{a}ez and C. Taliancich and H. Welles},\r\n\ttitle     = {Search versus Search for Collapsing Electoral Control Types \r\n\t\t(Extended Abstract)},\r\n\tyear      = {2023},\r\n\tbooktitle=aamas23,\r\n\tpages     = {2682-2684},\r\n\tmonth     = "May",                 \r\n \tpublisher = ifaamas,\r\n\turl_Link = {https://www.southampton.ac.uk/~eg/AAMAS2023/pdfs/p2682.pdf},\r\n\turl_Poster = {archival/s-vs-s_poster.pdf}\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n A Critique of Sopin's \"PH = PSPACE\".\n \n \n \n \n\n\n \n Chavrimootoo, M.; Clingerman, I.; and Luu, Q.\n\n\n \n\n\n\n Technical Report arXiv:2301.03487 [cs.CC], Computing Research Repository, arXiv.org/corr/, January 2023.\n \n\n\n\n
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@techreport{cha-cli-luu:t:sopin,\r\nauthor={M. Chavrimootoo and I. Clingerman and Q. Luu},\r\n\ttitle={A Critique of {Sopin}'s "{PH} = {PSPACE}"}, \r\n\tyear={2023},\r\n\tmonth={January},\r\n\tnumber={arXiv:2301.03487 [cs.CC]},\r\n\tinstitution={Computing Research Repository, arXiv.org/corr/},\r\n\turl_Link = {https://arxiv.org/abs/2301.03487}\r\n}\r\n\r\n
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\n  \n 2022\n \n \n (4)\n \n \n
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\n \n\n \n \n \n \n \n \n A Closer Look at Some Recent Proof Compression-Related Claims.\n \n \n \n \n\n\n \n Chavrimootoo, M.; Ferland, E.; Gibson, E.; and Wilson, A.\n\n\n \n\n\n\n Technical Report arXiv:2212.12150 [cs.CC], Computing Research Repository, arXiv.org/corr/, December 2022.\n \n\n\n\n
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@techreport{cha-fer-gib-wil:t:gh,\r\n\tauthor={M. Chavrimootoo and E. Ferland and E. Gibson and A. Wilson},\r\n\ttitle={A Closer Look at Some Recent Proof Compression-Related Claims}, \r\n\tyear={2022},\r\n\tmonth={December},\r\n\tnumber={arXiv:2212.12150 [cs.CC]},\r\n\tinstitution={Computing Research Repository, arXiv.org/corr/},\r\n\turl_Link = {https://arxiv.org/abs/2212.12150}\r\n}\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n Separating and Collapsing Electoral Control Types.\n \n \n \n \n\n\n \n Carleton, B.; Chavrimootoo, M.; Hemaspaandra, L.; Narváez, D.; Taliancich, C.; and Welles, H.\n\n\n \n\n\n\n Technical Report arXiv:2207.00710 [cs.MA], Computing Research Repository, arXiv.org/corr/, July 2022.\n Revised, May 2024.\n\n\n\n
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@techreport{car-cha-hem-nar-tal-wel:t:sct,\r\n\tauthor    = {B. Carleton and M. Chavrimootoo and L. Hemaspaandra and D. Narv\\'{a}ez and \r\n\tC. Taliancich and H. Welles},\r\n\ttitle     = {Separating and Collapsing Electoral Control Types},\r\n\tyear      = {2022},\r\n\tMonth=jul,\r\n\tNumber= "arXiv:2207.00710 [cs.MA]",\r\n\tInstitution = "Computing Research Repository",\r\n\tAddress = {arXiv.org/corr/},\r\n\tNote = {Revised, May 2024.},\r\n\turl_Link = {https://arxiv.org/abs/2207.00710}\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n Search versus Search for Collapsing Electoral Control Types.\n \n \n \n \n\n\n \n Carleton, B.; Chavrimootoo, M.; Hemaspaandra, L.; Narváez, D.; Taliancich, C.; and Welles, H.\n\n\n \n\n\n\n Technical Report arXiv:2207.03049 [cs.GT], Computing Research Repository, arXiv.org/corr/, July 2022.\n Revised, February 2024.\n\n\n\n
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@techreport{car-cha-hem-nar-tal-wel:t:svs,\r\n\tauthor    = {B. Carleton and M. Chavrimootoo and L. Hemaspaandra and D. Narv\\'{a}ez and \r\n\tC. Taliancich and H. Welles},\r\n\ttitle     = {Search versus Search for Collapsing Electoral Control Types},\r\n\tyear      = {2022},\r\n\tMonth=jul,\r\n\tNumber= "arXiv:2207.03049 [cs.GT]",\r\n\tInstitution = "Computing Research Repository",\r\n\tAddress = {arXiv.org/corr/},\r\n\tNote = {Revised, February 2024.},\r\n\turl_Link = {https://arxiv.org/abs/2207.03049}\r\n}\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n Defying Gravity: The Complexity of the Hanano Puzzle.\n \n \n \n \n\n\n \n Chavrimootoo, M.\n\n\n \n\n\n\n Technical Report arXiv:2205.03400 [cs.CC], Computing Research Repository, arXiv.org/corr/, May 2022.\n Revised, September 2022.\n\n\n\n
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@techreport{cha:t:hanano,\r\n\tauthor={M. Chavrimootoo},\r\n\ttitle={Defying Gravity: {The} Complexity of the {Hanano} Puzzle}, \r\n\tyear={2022},\r\n\tmonth=may,\r\n\tnumber={arXiv:2205.03400 [cs.CC]},\r\n\tinstitution={Computing Research Repository, arXiv.org/corr/},\r\n\tNote={Revised, September 2022.},\r\n\turl_Link = {https://arxiv.org/abs/2205.03400}\r\n}\r\n\r\n\r\n
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\n  \n 2021\n \n \n (2)\n \n \n
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\n \n\n \n \n \n \n \n \n A Critique of Kumar's \"Necessary and Sufficient Condition for Satisfiability of a Boolean Formula in CNF and Its Implications on P versus NP Problem\".\n \n \n \n \n\n\n \n Chavrimootoo, M.; and Welles, H.\n\n\n \n\n\n\n Technical Report arXiv:2112.06062 [cs.CC], Computing Research Repository, arXiv.org/corr/, December 2021.\n \n\n\n\n
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@techreport{cha-wel:t:kumar-critique,\r\n\tauthor={M. Chavrimootoo and H. Welles},\r\n\ttitle={A Critique of {Kumar}'s "{Necessary} and Sufficient Condition \r\n\tfor Satisfiability of a Boolean Formula in {CNF} and Its Implications on \r\n\t{P} versus {NP} Problem"}, \r\n\tyear={2021},\r\n\tmonth=dec,\r\n\tnumber={arXiv:2112.06062 [cs.CC]},\r\n\tinstitution={Computing Research Repository, arXiv.org/corr/},\r\n\turl_Link = {https://arxiv.org/abs/2112.06062}\r\n}\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n A Critique of Keum-Bae Cho's Proof that P $⊊$ NP.\n \n \n \n \n\n\n \n Carleton, B.; Chavrimootoo, M.; and Taliancich, C.\n\n\n \n\n\n\n Technical Report arXiv:2104.01736 [cs.CC], Computing Research Repository, arXiv.org/corr/, April 2021.\n \n\n\n\n
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@techreport{car-cha-tal:t:cho-critique,\r\n\tauthor={B. Carleton and M. Chavrimootoo and C. Taliancich},\r\n\ttitle={A Critique of {Keum-Bae Cho}'s Proof that {P} $\\subsetneq$ {NP}}, \r\n\tyear={2021},\r\n\tmonth=apr,\r\n\tnumber={arXiv:2104.01736 [cs.CC]},\r\n\tinstitution={Computing Research Repository, arXiv.org/corr/},\r\n\turl_Link = {https://arxiv.org/abs/2104.01736}\r\n}\r\n\r\n\r\n
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