Deciding the deterministic property for soliton graphs
Why this work is in the frame
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Bibliographic record
Abstract
Soliton automata are a graph theoretic model for electronic switching at the molecular level. In the design of soliton circuits, the deterministic property of the corresponding automata is of primary importance. The underlying graphs of such automata, called deterministic soliton graphs, are characterized in terms of graphs not having even-length cycles and graphs having a unique perfect matching. On the basis of this characterization, a modification of the currently most efficient unique perfect matching algorithm is worked out to decide in O ( m log 4 n ) time if a graph with n vertices and m edges defines a deterministic soliton automaton. A yet more efficient O ( m ) algorithm is given for the special case of chestnut and elementary soliton graphs. All of these algorithms are capable of constructing a state for the corresponding soliton automaton, and the general algorithm can also be used to simplify the automaton to an isomorphic elementary one.
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Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it