An investigation of the coauthor graph
โ Scribed by Logan, Elisabeth L. ;Shaw, W. M.
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 737 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0002-8231
No coin nor oath required. For personal study only.
โฆ Synopsis
The structure of coauthor graphs and the statistical validity of the associated author partitions are investigated as a function of productivity and collaborative thresholds. The productivity threshold determines the number of authors (points) in a coauthor graph, and the collaborative threshold determines the number of coauthor pairs (lines) in the graph. The statistical validity of author partitions is determined by the random-graph hypothesis. The results show that for "small" databases, statistically preferred partitions occur when all authors and coauthor pairs appear in the graph. For "large" databases, statistically preferred partitions occur when authors and coauthor pairs who publish only one article are excluded from the graph. Unlike other bibliometric relationships, the highly selective nature of the collaborative relationship produces a wide range of threshold values for which the associated partitions are statistically valid. It remains to be shown how the statistical validity of partitions is related to the empirical significance of the same partitions.
๐ SIMILAR VOLUMES
We give necessary and sufficient conditions that the complete graph K, has an isomorphic factorization into Kr X K,. We show that this factorization has an application to clone library screening.
## Abstract Let __G__ be a connected graph with edge set __E__ embedded in the surface โ. Let __G__ยฐ denote the geometric dual of __G__. For a subset __d__ of __E__, let ฯ__d__ denote the edges of __G__ยฐ that are dual to those edges of __G__ in __d__. We prove the following generalizations of wellโ
For two vertices u and v of an oriented graph D, the set I (u, v) consists of all vertices lying on a uv geodesic or vu geodesic in D. If S is a set of vertices of D, then I (S) is the union of all sets I (u, v) for vertices u and v in S. The geodetic number g(D) is the minimum cardinality among the
We prove that every finite simple graph can be drawn in the plane so that any two vertices have an integral distance if and only if they are adjacent. The proof is constructive.