The term "Nauru configuration" is a moniker proposed here to refer to the 
Coxeter configuration (cf. Boben et al.
2015) whose Levi graph is the Nauru
graph.
The ordinary line graph of the Nauru configuration is the rook graph 
.
Nauru Configuration
See also
Coxeter Configuration, Levi Graph, Nauru GraphExplore with Wolfram|Alpha
References
Boben, M.; Gévay, G.; and Pisanski, T. "Danzer's Configuration Revisited." Adv. Geom. 15, 393-408, 2015.Cite this as:
Weisstein, Eric W. "Nauru Configuration." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NauruConfiguration.html