{"id":"W4401922144","doi":"10.1137/23m1625342","title":"Off-Diagonal Commonality of Graphs via Entropy","year":2024,"lang":"en","type":"article","venue":"SIAM Journal on Discrete Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences; University of Victoria","keywords":"Mathematics; Combinatorics; Diagonal; Discrete mathematics; Entropy (arrow of time); Chordal graph; Graph; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0007672321,0.0003677672,0.0004639136,0.001773502,0.0008396183,0.001392456,0.000749088,0.0005628823,0.003905348],"category_scores_gemma":[0.004724742,0.0002802682,0.0005225824,0.001131374,0.002286589,0.002501473,0.001974151,0.0007880785,0.0002220911],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001576822,"about_ca_system_score_gemma":0.0005269352,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001692805,"about_ca_topic_score_gemma":0.002252916,"domain_scores_codex":[0.9991832,0.0001981821,0.00003054913,0.0002322729,0.0002048752,0.0001509301],"domain_scores_gemma":[0.9965629,0.001593415,0.0006436048,0.0005003704,0.0002700316,0.0004295995],"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":[0.0001358058,0.00006017558,0.004173525,0.00007801958,0.00003123396,0.0002232547,0.0004721298,0.03156314,0.009495299,0.9356478,0.001175437,0.016944],"study_design_scores_gemma":[0.00002758743,0.00009351543,0.005144818,0.00003123646,0.00002518751,0.0003039804,0.0002008778,0.2053136,0.004814149,0.7814238,0.002589914,0.00003124441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8401471,0.0002774544,0.142316,0.000430422,0.00002690752,0.00007315986,0.0004536381,0.0001935794,0.01608172],"genre_scores_gemma":[0.987269,0.0001382686,0.009701587,0.00004868713,0.00003480485,0.000051216,0.0002201314,0.00004000054,0.00249614],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003905348,"threshold_uncertainty_score":0.01306474,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02840167449277752,"score_gpt":0.3151510392851999,"score_spread":0.2867493647924224,"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."}}