{"id":"W1509996985","doi":"10.46298/dmtcs.3395","title":"On the Grone-Merris conjecture","year":2005,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Graph theory and applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"University of Minnesota","keywords":"Mathematics; Conjecture; Combinatorics; Vertex (graph theory); Generalization; Graph; Laplace operator; Discrete mathematics; Mathematical analysis","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":[0.0008244982,0.0003210078,0.0005791423,0.001141997,0.001483002,0.001932834,0.0008822877,0.001716412,0.007729874],"category_scores_gemma":[0.005462971,0.0003309936,0.0004609973,0.0009205386,0.003158435,0.004560946,0.002337731,0.002031019,0.001072495],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007987862,"about_ca_system_score_gemma":0.0004236597,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000943818,"about_ca_topic_score_gemma":0.0008640799,"domain_scores_codex":[0.9993191,0.0001205667,0.0000194253,0.00021905,0.0001942675,0.0001275924],"domain_scores_gemma":[0.9981861,0.0009111032,0.0001684912,0.0002659946,0.0002107227,0.0002576427],"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":[0.00005331602,0.00001790384,0.0004992227,0.0000221641,0.000004636332,0.00009555522,0.0002018378,0.001381192,0.0007653324,0.9888237,0.003141778,0.004993285],"study_design_scores_gemma":[0.00001779689,0.000009897256,0.0005245762,0.00001201201,0.000003518521,0.0001197325,0.0001047333,0.006353986,0.000352186,0.9889291,0.003564043,0.000008433187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6271309,0.002226218,0.08288906,0.01622544,0.0007806139,0.00003667036,0.0002942689,0.0006234252,0.2697934],"genre_scores_gemma":[0.9776725,0.0006888661,0.006298082,0.001176161,0.0005391946,0.00002836235,0.0002055646,0.00008229246,0.01330899],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007729874,"threshold_uncertainty_score":0.02585906,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0203310165375586,"score_gpt":0.2895874706030305,"score_spread":0.2692564540654719,"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."}}