The Petersen line graph is the line graph of the Petersen graph. It is a 15-vertex, 30-edge quartic vertex-transitive graph, and is the graph Qt39.
The Petersen line graph is implemented in the Wolfram Language as GraphData["PetersenLineGraph"].
Petersen Line Graph
See also
Line Graph, Petersen Graph, Quartic Vertex-Transitive GraphExplore with Wolfram|Alpha
References
House of Graphs. "Line Graph of Petersen Graph." https://houseofgraphs.org/graphs/45597.Cite this as:
Weisstein, Eric W. "Petersen Line Graph." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PetersenLineGraph.html