Co-authorship neighborhood
Lukas Beckenbauer's displayed neighborhood
4 of 4 direct collaborators shown.
Scroll the diagram horizontally to inspect every displayed node.
Ordered author table
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| Display order | Author | Role | Distinct papers | Unique collaborators | Weighted degree | Active span |
|---|---|---|---|---|---|---|
| 1 | Lukas Beckenbauer | Focal | 1 | 4 | 4.0 | 2026 |
| 2 | Alexandra Brintrup | Direct collaborator | 1 | 4 | 4.0 | 2026 |
| 3 | Haolang Zhao | Direct collaborator | 1 | 4 | 4.0 | 2026 |
| 4 | Liming Xu | Direct collaborator | 1 | 4 | 4.0 | 2026 |
| 5 | Yunbo Long | Direct collaborator | 1 | 4 | 4.0 | 2026 |
Displayed collaboration table
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| Author pair | Shared papers | Full weight | Fractional weight |
|---|---|---|---|
| Haolang Zhao — Alexandra Brintrup | 1 | 1 | 0.25 |
| Haolang Zhao — Yunbo Long | 1 | 1 | 0.25 |
| Haolang Zhao — Lukas Beckenbauer | 1 | 1 | 0.25 |
| Haolang Zhao — Liming Xu | 1 | 1 | 0.25 |
| Alexandra Brintrup — Yunbo Long | 1 | 1 | 0.25 |
| Alexandra Brintrup — Lukas Beckenbauer | 1 | 1 | 0.25 |
| Alexandra Brintrup — Liming Xu | 1 | 1 | 0.25 |
| Yunbo Long — Lukas Beckenbauer | 1 | 1 | 0.25 |
| Yunbo Long — Liming Xu | 1 | 1 | 0.25 |
| Lukas Beckenbauer — Liming Xu | 1 | 1 | 0.25 |
Graph construction and limits
Each distinct paper contributes an undirected pair for every two eligible identities in its deduplicated latest Semantic Scholar 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.