After plotting this Graph,
How do I visualize 3->14, 4->13, 6->9 that will be drawn above the number line like a loop or circle?
Graph[Flatten[
Thread[{#[[1]]} -> {#[[2]]}] & /@ Partition[Range[15], 2, 1]],
VertexLabels -> Automatic]
g1=PathGraph[Range[15],
DirectedEdges->True,
VertexLabels->Automatic,
VertexCoordinates->Thread[{Range[15],0}]]
g2=Graph[{3,4,6,9,13,14},{3->14,4->13,6->9},
GraphLayout->"LinearEmbedding",
VertexCoordinates->{{3,0},{4,0},{6,0},{9,0},{13,0},{14,0}}]
Show[g1, g2] /. {Arrowheads[x_] -> Arrowheads[.02], Arrow[x_] -> {Arrowheads[.02], Arrow[x]}}