Investigating the Neighborhood Degree Based Topological Indices of Certain Isomeric Natural Polymers
Bibliographic record
Abstract
A polymer is a large molecule composed of repeating structural units called monomers, which are bonded together to form long chains. A topological index is a numerical value derived from the structure of a molecular graph, used to describe its topology and predict chemical, physical, or biological properties. This study explores the topological properties of cellulose and amylopectin networks using neighborhood degree sum-based indices. We compute NM-polynomials for these molecular structures, facilitating the derivation of various neighborhood degree sum-based indices through advanced algebraic and calculus-based methods. By revealing intricate connectivity patterns and structural features, this research extends the application of chemical graph theory to complex carbohydrate networks. Our findings offer valuable insights into the topology of cellulose and amylopectin, opening new avenues for exploration in molecular modeling, materials science, and biochemistry.
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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 | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| 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".