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Record W35857846 · doi:10.1126/sciadv.abo4459

Total Perfect Codes in Tensor Products of Graphs.

2008· article· en· W35857846 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

venuePublished in a venue whose home country is Canada.
no affNo Canadian affiliation: this work is invisible to an affiliation-only frame.
No Canadian affiliation. An affiliation-only frame, the usual design, would never have seen this work. It is one of the works that make the case for inverting the frame.

Bibliographic record

VenueArs Combinatoria · 2008
Typearticle
Languageen
FieldComputer Science
TopicAdvanced Graph Theory Research
Canadian institutionsnot available
FundersNational Institute of General Medical SciencesNational Institute on Aging
KeywordsMathematicsCombinatoricsDiscrete mathematicsTensor productVertex (graph theory)GraphPure mathematics

Abstract

fetched live from OpenAlex

The protein tau associates with microtubules to maintain neuronal health. Posttranslational modifications of tau interfere with this binding, leading to tau aggregation in neurodegenerative disorders. Here, we use solid-state nuclear magnetic resonance (NMR) to investigate the structure of the microtubule-binding domain of tau. Wild-type tau that contains four microtubule-binding repeats and a pseudorepeat R' is studied. Complexed with taxol-stabilized microtubules, the immobilized residues exhibit well-resolved two-dimensional spectra that can be assigned to the amino-terminal region of R4 and the R' domain. When tau coassembles with tubulin to form unstable microtubules, the R' signals remain, whereas the R4 signals disappear, indicating that R' remains immobilized, whereas R4 becomes more mobile. Therefore, R' outcompetes the other four repeats to associate with microtubules. These NMR data, together with previous cryo-electron microscopy densities, indicate an extended conformation for microtubule-bound R'. R' contains the largest number of charged residues among all repeats, suggesting that charge-charge interaction drives tau-microtubule association.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.112
Threshold uncertainty score0.503

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.020
GPT teacher head0.264
Teacher spread0.244 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it