@InProceedings{malic_et_al:LIPIcs.SoCG.2021.52, author = {Mali\'{c}, Goran and Streinu, Ileana}, title = {{Combinatorial Resultants in the Algebraic Rigidity Matroid}}, booktitle = {37th International Symposium on Computational Geometry (SoCG 2021)}, pages = {52:1--52:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-184-9}, ISSN = {1868-8969}, year = {2021}, volume = {189}, editor = {Buchin, Kevin and Colin de Verdi\`{e}re, \'{E}ric}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2021.52}, URN = {urn:nbn:de:0030-drops-138514}, doi = {10.4230/LIPIcs.SoCG.2021.52}, annote = {Keywords: Cayley-Menger ideal, rigidity matroid, circuit polynomial, combinatorial resultant, inductive construction, Gr\"{o}bner basis elimination} }