Bibliographic record
Abstract
T. Tamizh Chelvam Department of Mathematics Manonmaniam Sundaranar University Tirunelveli 627 012 Tamil Nadu, India Email: tamche_59@yahoo.co.in G. S. Grace Prema Department of Mathematics St. John’s College Tirunelveli – 627 002 Tamil Nadu, India. Abstract: A set D of vertices of a graph G is a dominating set if every vertex of V-D is adjacent to at least one vertex in D. The domination number ) (G γ is the minimum cardinality of a dominating set of G. A subset of V-D, which is also a dominating set of G is called the inverse dominating set of G with respect to D. The inverse domination number of G, ) (G γ ′ is the minimum cardinality of the inverse dominating sets. In this paper, some graphs with equal domination and inverse domination numbers are identified.
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How this classification was reachedexpand
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 | 0.001 |
| Open science | 0.000 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".