Co-authorship neighborhood
Ye. V. Varavin's displayed neighborhood
3 of 3 direct collaborators shown.
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Ordered author table
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| Display order | Author | Role | Distinct papers | Unique collaborators | Weighted degree | Active span |
|---|---|---|---|---|---|---|
| 1 | Ye. V. Varavin | Focal | 1 | 3 | 3.0 | 2026 |
| 2 | M. U. Rakhimberdinova | Direct collaborator | 1 | 3 | 3.0 | 2026 |
| 3 | M. V. Kozlova | Direct collaborator | 1 | 3 | 3.0 | 2026 |
| 4 | O. Ozpence | Direct collaborator | 1 | 3 | 3.0 | 2026 |
Displayed collaboration table
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| Author pair | Shared papers | Full weight | Fractional weight |
|---|---|---|---|
| O. Ozpence — M. U. Rakhimberdinova | 1 | 1 | 0.333 |
| O. Ozpence — Ye. V. Varavin | 1 | 1 | 0.333 |
| O. Ozpence — M. V. Kozlova | 1 | 1 | 0.333 |
| M. U. Rakhimberdinova — Ye. V. Varavin | 1 | 1 | 0.333 |
| M. U. Rakhimberdinova — M. V. Kozlova | 1 | 1 | 0.333 |
| Ye. V. Varavin — M. V. Kozlova | 1 | 1 | 0.333 |
Graph construction and limits
Each distinct paper contributes an undirected pair for every two eligible identities in its deduplicated latest OpenAlex author list. Self-loops are removed. Solo papers count toward an author's paper total but create no edge. The selected display is an ego subgraph. Paper, collaborator, weighted-degree, and active-span metrics for every displayed node use the full filtered provider view; component size describes the focal author's component.
Immutable provider payloads are stored once. A separate receipt log records a later delivery of an earlier payload, so roster reversions remain visible. Exact duplicate receipts are idempotent. Equal timestamps use receipt insertion order as the tie-breaker.
Co-authorship records shared paper attribution only. It does not establish contribution size, research quality, influence, friendship, topic similarity, or citation relationships.