Krackhardt kite graph

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Krackhardt kite graph
Krackhard kite.PNG
Table of graphs and parameters

In graph theory, the Krackhardt kite graph is a simple graph with ten nodes. The graph is named after David Krackhardt, a researcher of social network theory.[1][2]

Krackhardt introduced the graph in 1990 to distinguish different concepts of centrality. It has the property that the vertex with maximum degree (labeled 3 in the figure, with degree 6), the vertex with maximum betweenness centrality (labeled 7), and the two vertices with maximum closeness centrality (labeled 5 and 6) are all different from each other.[3]


  1. ^ "Common Graphs". Sage Math. function "KrackhardtKiteGraph". Retrieved 19 August 2015.
  2. ^ Weisstein, Eric W. "Krackhardt Kite". MathWorld.
  3. ^ Krackhardt, David (June 1990). "Assessing the Political Landscape: Structure, Cognition, and Power in Organizations". Administrative Science Quarterly. 35 (2): 342–369. doi:10.2307/2393394. JSTOR 2393394.