{"id":"W2294185024","doi":"","title":"Product Cordial Sets of Long Grids","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Combinatorics; Graph; Vertex (graph theory); Mathematics; Product (mathematics); Geometry","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":[0.0003910482,0.0003109705,0.0005229,0.001131575,0.001215578,0.001687331,0.0008492757,0.0003914691,0.00575297],"category_scores_gemma":[0.002308653,0.0003719908,0.0004545696,0.001354593,0.001085537,0.002276722,0.001310606,0.0007975898,0.000451248],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001178166,"about_ca_system_score_gemma":0.0003810606,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001122903,"about_ca_topic_score_gemma":0.001198826,"domain_scores_codex":[0.9994556,0.00007369677,0.00004657266,0.0001506583,0.0001582538,0.0001152329],"domain_scores_gemma":[0.9980851,0.0006340944,0.0004052907,0.000329154,0.0002683525,0.0002780587],"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":[0.0002330033,0.00005242103,0.005109353,0.000116792,0.00002167122,0.0002318934,0.0005656403,0.008069143,0.00541092,0.9420637,0.002734807,0.03539073],"study_design_scores_gemma":[0.00004242001,0.0001184053,0.00610309,0.00004856174,0.00002855683,0.001057922,0.0002880998,0.05179048,0.005761092,0.9131034,0.02161737,0.00004055768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8561707,0.0004300637,0.1089943,0.0002689756,0.00005825506,0.00006488911,0.001246345,0.0003386895,0.03242778],"genre_scores_gemma":[0.937635,0.0002521081,0.04740934,0.0001239731,0.00008089433,0.0001203014,0.001407495,0.00008004726,0.01289074],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00575297,"threshold_uncertainty_score":0.01924562,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01500869129926184,"score_gpt":0.2419274612037678,"score_spread":0.226918769904506,"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."}}