{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,11,7]],"date-time":"2024-11-07T05:23:32Z","timestamp":1730957012864,"version":"3.28.0"},"reference-count":26,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2024,11,6]],"date-time":"2024-11-06T00:00:00Z","timestamp":1730851200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100010663","name":"European Research Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100010663","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003973","name":"Israel Academy of Sciences and Humanities","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003973","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003977","name":"Israel Science Foundation","doi-asserted-by":"publisher","award":["2110\/22"],"id":[{"id":"10.13039\/501100003977","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Random Struct Algorithms"],"published-print":{"date-parts":[[2025,1]]},"abstract":"ABSTRACT<\/jats:title>Twisted hypercubes are generalizations of the Boolean hypercube, obtained by iteratively connecting two instances of a graph by a uniformly random perfect matching. Dudek et al. showed that when the two instances are independent, these graphs have optimal diameter. We study twisted hypercubes in the setting where the instances can have general dependence, and also in the particular case where they are identical. We show that the resultant graph shares properties with random regular graphs, including small diameter, large vertex expansion, a semicircle law for its eigenvalues and no non\u2010trivial automorphisms. However, in contrast to random regular graphs, twisted hypercubes allow for short routing schemes.<\/jats:p>","DOI":"10.1002\/rsa.21267","type":"journal-article","created":{"date-parts":[[2024,11,6]],"date-time":"2024-11-06T12:57:57Z","timestamp":1730897877000},"update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Randomly Twisted Hypercubes: Between Structure and Randomness"],"prefix":"10.1002","volume":"66","author":[{"given":"Itai","family":"Benjamini","sequence":"first","affiliation":[{"name":"Department of Mathematics Weizmann Institute of Science Rehovot Israel"}]},{"given":"Yotam","family":"Dikstein","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Applied Mathematics Weizmann Institute of Science Rehovot Israel"}]},{"ORCID":"http:\/\/orcid.org\/0009-0007-5880-7033","authenticated-orcid":false,"given":"Renan","family":"Gross","sequence":"additional","affiliation":[{"name":"Department of Mathematics Weizmann Institute of Science Rehovot Israel"}]},{"given":"Maksim","family":"Zhukovskii","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences Tel Aviv University Tel Aviv Israel"}]}],"member":"311","published-online":{"date-parts":[[2024,11,6]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/0743-7315(91)90113-N"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0190(93)90065-H"},{"key":"e_1_2_8_4_1","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1007\/3-540-17943-7_126","volume-title":"PARLE Parallel Architectures and Languages Europe","author":"Hilbers P. 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