Histogram using edges

Updated to return chart of loop-free part

You can use BarChart for this (incorporating halmir's suggestions):

inOutGraph[e_] := With[{g = SimpleGraph @ Graph[Sort @ VertexList[e], e]},
    BarChart[
        Transpose @ Through @ {VertexInDegree, VertexOutDegree} @ g,
        ChartLayout -> "Stacked"
    ]
]

inOutGraph[list]

enter image description here

or:

inOutGraph[e_] := With[{g = SimpleGraph @ Graph[Sort @ VertexList[e], e]},
    BarChart[
        Transpose @ Through @ {VertexInDegree, Minus @* VertexOutDegree} @ g,
        ChartLayout -> "Stacked"
    ]
]

inOutGraph[list]

enter image description here


g1 = SimpleGraph @ Graph[Range[17], list];
{ind, outd} = Through[{VertexInDegree, VertexOutDegree}[g1]];

GraphComputation`GraphPropertyChart

GraphComputation`GraphPropertyChart[g1, Automatic -> {ind, outd}, 
 ChartStyle -> {Blue, Yellow}, VertexShapeFunction -> None, 
 VertexSize -> .75, VertexLabels -> Placed["Name", Center], 
 ChartLegends -> {"VertexInDegree", "VertexOutDegree"}]

enter image description here

Add the options PolarGridLines->False and PolarAxes->False to get

enter image description here

PairedBarChart

PairedBarChart[Style[#, ColorData[97][1]] & /@ ind, 
 Style[#, ColorData[97][2]] & /@ outd, BarSpacing -> {3, 0, 0}, 
 BarOrigin -> Top, ChartLabels -> Placed[Range[17], Axis]]

enter image description here

PairedHistogram + WeightedData

PairedHistogram[Style[WeightedData[Range@17, ind], ColorData[97][1]], 
 Style[WeightedData[Range@17, outd],  ColorData[97][2]], 17, 
 BarSpacing -> 3, BarOrigin -> Top, Axes -> {False, True}, 
 Epilog -> (Text[#, {#, 0}] & /@ Range[17])]

enter image description here


With ordered vertices

vl = VertexList@list;
degree = Association @@ Thread[{"In", "Out"} -> Through@{VertexInDegree, VertexOutDegree}@list];
degree = #[[Ordering[vl]]] & /@ degree;
vl = vl[[Ordering[vl]]];

BarChart[Transpose@Values@degree,
 ChartLayout -> "Stacked",
 ChartLabels -> {vl, None},
 ChartLegends -> SwatchLegend[Automatic, {"In", "Out"}]]

Mathematica graphics

Hope this helps.