{"id":"W2001998099","doi":"10.7151/dmgt.1377","title":"Couterexample to a conjecture on the structure of bipartite partionable graphs","year":2007,"lang":"en","type":"article","venue":"Discussiones Mathematicae Graph Theory","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Combinatorics; Mathematics; Bipartite graph; Cartesian product; Conjecture; Disjoint sets; Partition (number theory); Counterexample; Discrete mathematics; Vertex (graph theory); Graph; Edge-transitive graph; Graph power; Line graph","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00110714,0.0003437605,0.0004509641,0.001074423,0.0020951,0.002110794,0.001106624,0.001576882,0.007097662],"category_scores_gemma":[0.005595895,0.000591427,0.0006410779,0.00191466,0.004656674,0.004631802,0.001631542,0.002095889,0.0006224206],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001288875,"about_ca_system_score_gemma":0.0005621893,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002366618,"about_ca_topic_score_gemma":0.002500117,"domain_scores_codex":[0.9992408,0.00020812,0.00002397958,0.0002486852,0.0001480064,0.0001303919],"domain_scores_gemma":[0.9937748,0.003670661,0.0005264907,0.001137856,0.0004692338,0.0004210106],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001905611,0.00006500139,0.002983578,0.0001264818,0.0000241013,0.000296025,0.001143903,0.007661563,0.002685885,0.9698167,0.005342266,0.009663908],"study_design_scores_gemma":[0.00004874008,0.00005643916,0.002155188,0.00003634643,0.00002013838,0.0003010242,0.0005097312,0.02177044,0.001501221,0.9667237,0.006859459,0.00001742903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7968459,0.0008424676,0.1432814,0.008364063,0.0001773623,0.00007602598,0.0008591223,0.0005268766,0.04902686],"genre_scores_gemma":[0.9678261,0.000568997,0.02118454,0.000802987,0.0001985869,0.00005313368,0.0008516702,0.00006934757,0.008444825],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007097662,"threshold_uncertainty_score":0.02374405,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02105752358620902,"score_gpt":0.2882980533535209,"score_spread":0.2672405297673119,"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."}}