{"id":"W2582851771","doi":"10.1016/j.tcs.2017.01.028","title":"Algorithmic complexity of weakly semiregular partitioning and the representation number","year":2017,"lang":"en","type":"preprint","venue":"Theoretical Computer Science","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University; Carleton University","funders":"","keywords":"Combinatorics; Mathematics; Injective function; Bipartite graph; Vertex (graph theory); Graph; Conjecture; Modulo; Degree (music); Discrete mathematics; Induced subgraph; Physics","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":[0.003343455,0.001158724,0.002358204,0.00162793,0.00182356,0.009718994,0.00425977,0.003446332,0.01646185],"category_scores_gemma":[0.02559045,0.001284032,0.001823578,0.00311088,0.004135425,0.0138496,0.004292606,0.004608028,0.001525875],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003956805,"about_ca_system_score_gemma":0.002512095,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001831931,"about_ca_topic_score_gemma":0.001895694,"domain_scores_codex":[0.9956214,0.001694913,0.0001811107,0.00105397,0.0008412785,0.0006073427],"domain_scores_gemma":[0.9741827,0.01983265,0.001487438,0.002658293,0.0008042925,0.001034676],"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":[0.000972544,0.0002497452,0.00472332,0.0005527984,0.00009943845,0.0001634427,0.0007024379,0.0825311,0.004013242,0.8492066,0.01554514,0.0412401],"study_design_scores_gemma":[0.00007231774,0.00003278928,0.0005537692,0.0000294166,0.00003679089,0.0001114979,0.0001532609,0.1417475,0.0009370928,0.8547028,0.0016008,0.00002185112],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5612202,0.001902078,0.376559,0.01680119,0.0002895084,0.0002445633,0.003521396,0.001123132,0.03833907],"genre_scores_gemma":[0.8912771,0.001038405,0.09093754,0.0009206699,0.0004681098,0.0003868976,0.003162294,0.0005886243,0.01122039],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01646185,"threshold_uncertainty_score":0.0550704,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0319462292945016,"score_gpt":0.2968580083294878,"score_spread":0.2649117790349863,"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."}}