@InProceedings{gurvits_et_al:LIPIcs.ICALP.2024.79, author = {Gurvits, Leonid and Klein, Nathan and Leake, Jonathan}, title = {{From Trees to Polynomials and Back Again: New Capacity Bounds with Applications to TSP}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {79:1--79:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.79}, URN = {urn:nbn:de:0030-drops-202229}, doi = {10.4230/LIPIcs.ICALP.2024.79}, annote = {Keywords: traveling salesman problem, strongly Rayleigh distributions, polynomial capacity, probability lower bounds, combinatorial lower bounds} }