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We show that there is a Boolean function $f$ with $D(f)=\\Omega((D^{sc}(f))^{2-o(1)})$ where $D(f)$ is the deterministic query complexity of $f$ and $D^{sc}$ is the subcube partition complexity of $f$;\n  2. As a consequence, we obtain that there is a communication task $f(x, y)$ such that $D^{cc}(f)=\\Omega(\\log^{2-o(1)}\\chi(f))$ where $D^{cc}(f)$ is the deterministic 2-party communication complexity of $f$ (in the standard 2-party model of communication) and $\\chi(f)$ is the partition number of $f$.\n  Both of th","authors_text":"Andris Ambainis, Martins Kokainis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2015-12-02T12:07:38Z","title":"Almost quadratic gap between partition complexity and query/communication complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00661","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:febda1d40ea5fb1806146f406105ff068ae1637d5fae848b6574676383aa447e","target":"record","created_at":"2026-05-18T01:25:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"765cb218b3a3b08ca84b3d569f9c328ee4c898b65de7ca05f01e8851ec22c8a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2015-12-02T12:07:38Z","title_canon_sha256":"6b396b9355a591ffe2a5222695215fab1385bf730a505772c3228b5001769cd0"},"schema_version":"1.0","source":{"id":"1512.00661","kind":"arxiv","version":1}},"canonical_sha256":"0d80041721a4e04a36c126f5ef0cda987a15c1b41e7a1e3616d61c26de2669f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d80041721a4e04a36c126f5ef0cda987a15c1b41e7a1e3616d61c26de2669f5","first_computed_at":"2026-05-18T01:25:25.435977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:25.435977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9vtkg8gBVFZ10eUhXqo5Mm8wusbizu3ripskezctJSBufzUARKLbUbLYoiP7p/aWS7IJWRjw1s/GDELXvzcrDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:25.436507Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00661","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:febda1d40ea5fb1806146f406105ff068ae1637d5fae848b6574676383aa447e","sha256:240015d89bffe5e10747f7e1f552dc158bb952ea9e3e2bf05d442ea29b44f620"],"state_sha256":"dc221a2c4bd8970227caf94f813603fc1144c59e9e5101a28d03d7acd65d4208"}