{"id":"W2102110641","doi":"10.1016/j.jctb.2006.02.008","title":"Mutually embeddable graphs and the tree alternative conjecture","year":2006,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":27,"is_retracted":false,"has_abstract":false,"ca_institutions":"Royal Military College of Canada; Wilfrid Laurier University","funders":"Division of Mathematical Sciences","keywords":"Mathematics; Combinatorics; Conjecture; Tree (set theory); Vertex (graph theory); Discrete mathematics; Embedding; Graph; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002918388,0.0001936453,0.0004028266,0.0001912108,0.0002822465,0.0002722628,0.001336644,0.00007300122,0.00001944745],"category_scores_gemma":[0.0003449512,0.0001155144,0.0001770663,0.0004498088,0.0008811817,0.00119512,0.0002806245,0.0005096202,0.000002526553],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003707825,"about_ca_system_score_gemma":0.0001095905,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000858644,"about_ca_topic_score_gemma":0.000003643347,"domain_scores_codex":[0.9975339,0.0008866807,0.0004718823,0.0001934314,0.0006019997,0.0003121099],"domain_scores_gemma":[0.9973462,0.001300696,0.000463927,0.0004016579,0.0003878288,0.00009965873],"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":[0.00135709,0.00004822064,0.00004298129,0.000005487938,0.00006835309,0.0000636254,0.0006352195,0.0001003741,0.0002456334,0.995106,0.0003804934,0.001946507],"study_design_scores_gemma":[0.003836505,0.0004757928,0.0001065742,0.00002178706,0.00001638821,0.0003324108,0.0001877998,0.00009938957,0.003529526,0.9870025,0.004258796,0.0001325089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6062277,0.01097609,0.2912575,0.01099696,0.0242269,0.001631494,0.00001610526,0.0002985978,0.05436862],"genre_scores_gemma":[0.9961032,0.0001279255,0.00248871,0.0001116606,0.0004221193,0.000005696888,3.695925e-7,0.00001601828,0.0007242972],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3898755,"threshold_uncertainty_score":0.4710542,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006309784519698531,"score_gpt":0.2422969169776194,"score_spread":0.2359871324579209,"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."}}