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# Let us try to solve the same issue on its line graph, a graph that generated by mapping an edge to a vertex and two edges sharing a common vertex will be connected.
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linegraph =line_graph(graph)
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show_graph(linegraph; locs=[0.5.* (locations[e.src] .+ locations[e.dst]) for e inedges(graph)])
# This result should be consistent with that given by the [Bron Kerbosch algorithm](https://en.wikipedia.org/wiki/Bron%E2%80%93Kerbosch_algorithm) on the complement of Petersen graph.
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