@InProceedings{louis_et_al:LIPIcs.SWAT.2024.33, author = {Louis, Anand and Paul, Rameesh and Ray, Arka}, title = {{Sparse Cuts in Hypergraphs from Random Walks on Simplicial Complexes}}, booktitle = {19th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2024)}, pages = {33:1--33:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-318-8}, ISSN = {1868-8969}, year = {2024}, volume = {294}, editor = {Bodlaender, Hans L.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SWAT.2024.33}, URN = {urn:nbn:de:0030-drops-200739}, doi = {10.4230/LIPIcs.SWAT.2024.33}, annote = {Keywords: Sparse Cuts, Random Walks, Link Expansion, Hypergraph Expansion, Simplicial Complexes, High Dimensional Expander, Threshold Rank} }