truncatedCube = {{0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}; AdjacencyGraph[truncatedCube, GraphLayout -> "PlanarEmbedding", VertexLabels -> Thread[Range[Length@truncatedCube]Array[# -> Range[Length@truncatedCube]]# &, Length @ truncatedCube], PlotRangePadding -> 0.5]