{"id":"W2400067391","doi":"","title":"The Combinatorial Nullstellensatz and DFT on Perfect Matchings in Bipartite Graphs.","year":2014,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Bipartite graph; Mathematics; Combinatorics; Strong perfect graph theorem; Graph; 1-planar graph; Line graph","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00230443,0.0007113662,0.001137668,0.002436574,0.001820446,0.003494437,0.002441716,0.002100132,0.01426802],"category_scores_gemma":[0.01771685,0.0006968646,0.001254988,0.001597233,0.007438942,0.008625316,0.003993069,0.003836044,0.001473723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001878527,"about_ca_system_score_gemma":0.001422345,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001831871,"about_ca_topic_score_gemma":0.001484634,"domain_scores_codex":[0.9974418,0.001051847,0.0001253475,0.0003778505,0.0005820298,0.0004211662],"domain_scores_gemma":[0.9842329,0.01120763,0.001248464,0.00168714,0.0007416697,0.0008821592],"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":[0.00007215785,0.0000431463,0.0006228306,0.00006083298,0.00001323131,0.0001022681,0.0001400804,0.002435077,0.0003737612,0.9872561,0.002573675,0.00630681],"study_design_scores_gemma":[0.00002520584,0.00001079109,0.0002129175,0.00001677446,0.000005988294,0.0001171775,0.00005869942,0.00758165,0.0002789557,0.990662,0.001019247,0.00001058812],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6016976,0.003340936,0.1747703,0.01472867,0.0008518226,0.0002062252,0.001772277,0.0004658246,0.2021664],"genre_scores_gemma":[0.9798145,0.0007130357,0.007422471,0.0004997338,0.0005554158,0.0001067391,0.0005925695,0.00005989062,0.01023564],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01426802,"threshold_uncertainty_score":0.04773128,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009662535985603777,"score_gpt":0.2530412884846173,"score_spread":0.2433787524990135,"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."}}