{"id":"W2054681864","doi":"10.1016/s0166-218x(99)00161-4","title":"Embeddings of complete binary trees into grids and extended grids with total vertex-congestion 1","year":2000,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"Interconnection Networks and Systems","field":"Computer Science","cited_by":58,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"","keywords":"Combinatorics; Mathematics; Vertex (graph theory); Injective function; Neighbourhood (mathematics); Graph; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002046528,0.0001959555,0.0003449089,0.0000728111,0.0001164546,0.00009884341,0.0002809471,0.00007152923,0.00004792694],"category_scores_gemma":[0.000004847833,0.0001475458,0.00004802361,0.0002197491,0.0001110865,0.0002006855,0.00008183476,0.0001071879,0.00001902711],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002170823,"about_ca_system_score_gemma":0.00001711938,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001923074,"about_ca_topic_score_gemma":0.00001082833,"domain_scores_codex":[0.9988309,0.00001869412,0.0003738815,0.0003032449,0.0002621845,0.0002111358],"domain_scores_gemma":[0.9992192,0.00009529107,0.0001455002,0.0004133235,0.00004803608,0.00007862593],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001560788,0.0003202229,0.00006122285,0.0006676352,0.0001952248,0.00002299767,0.02335862,0.003024787,0.01424643,0.8995898,0.001076057,0.05728093],"study_design_scores_gemma":[0.002228578,0.001245256,0.003203315,0.0007518921,0.0001008923,0.0004128462,0.002665415,0.9241231,0.002446017,0.0608044,0.0009533191,0.001064945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8139734,0.00007137642,0.1732953,0.0001387116,0.0001255949,0.0004061182,0.000006264755,0.0001535186,0.01182973],"genre_scores_gemma":[0.9586434,0.00001562774,0.04097153,0.0000378038,0.00003940626,0.00003612298,0.000006725533,0.00001702578,0.0002323912],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9210984,"threshold_uncertainty_score":0.6016741,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008419413781472318,"score_gpt":0.2165844492443656,"score_spread":0.2081650354628932,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}