Mathematica Asked on April 13, 2021
How can one use Wolfram to make diagrams like
with the arrows labeled as well (to label “mediating factors” between the causal elements)?
vertices = {"rush hour", "bad weather", "accident", "traffic jam", "sirens"};
edges = DirectedEdge @@@ {"rush hour" -> "traffic jam", "bad weather" -> "accident",
"accident" -> "traffic jam", "bad weather" -> "traffic jam",
"accident" -> "sirens"};
edgelabels = RandomWord["Noun", Length @ edges];
Graph[edges,
PlotTheme -> "IndexLabeled",
VertexSize -> Large,
EdgeLabels -> Thread[edges -> edgelabels]]
Use additional options to embellish the picture:
elabeling = AssociationThread[edges, edgelabels];
eSF = {Arrowheads[{{.04, .75},
{.05, .45, Graphics @ Text[Framed[Style[elabeling @ #2, 14],
FrameStyle -> None, Background -> White]]}}],
Last @ GraphElementData["Arrow"][##]} &;
coords = Drop[Join @@ Array[{ #2, (3 - #)}&, {2, 3}], {4}]
Graph[vertices, edges,
VertexLabelStyle -> 14,
ImageSize -> Large,
GraphStyle -> "IndexLabeled",
VertexSize -> .4,
EdgeShapeFunction -> eSF,
VertexCoordinates -> coords]
We can also construct the graphics primitives from scratch:
radius = Offset @ Max[(1.2/2)
Rasterize[Style[#, 14, "Graphics"], "RasterSize"][[1]] & /@ vertices];
Graphics[{{Arrowheads[{{.02, .75}, {.05, .45,
Graphics @Text[Framed[Style[elabeling @ #, 14], FrameStyle -> None,
Background -> White], {0, 0}, {0, .25}]}}],
Arrow[List @@ # /. Thread[vertices -> coords]]} & /@ edges,
FaceForm[White], EdgeForm[Gray], Disk[#, radius] & /@ coords,
MapThread[Text, {Style[#, 16] & /@ vertices, coords}]},
ImageSize -> 800, PlotRangePadding -> Scaled[.2]]
Update: From comments: "Ideally a user just supplies a list of relationships (with possible labels)..."
elist = {{"rush hour" -> "traffic jam", "empty"},
{"bad weather" -> "accident", "canyon"},
{"accident" -> "traffic jam", "sweatshirt"},
{"bad weather" -> "traffic jam", "pump"},
{"accident" -> "sirens", "nominative"}};
You can use GraphComputation`LayeredGraphPlotLegacy
or GraphComputation`GraphPlotLegacy
(if you have access to versions before v12 you can use LayeredGraphPlot
and GraphPlot
, respectively):
GraphComputation`LayeredGraphPlotLegacy[elist,
DirectedEdges -> True, EdgeLabeling -> True, VertexLabeling -> True,
ImageSize -> 500, BaseStyle -> 15, PlotStyle -> Black]
GraphComputation`GraphPlotLegacy[elist,
DirectedEdges -> True, EdgeLabeling -> True, VertexLabeling -> True,
ImageSize -> 500, BaseStyle -> 15, PlotStyle -> Black,
Method -> "LayeredDigraphDrawing"]
same picture
To render vertices as disks add the option
VertexRenderingFunction -> ({White, EdgeForm[Black], Disk[#, .3], Black, Text[#2, #1]} &)
to get
Correct answer by kglr on April 13, 2021
r = 1; (*radius of each disk*)
(*center of each disk. Numbers left to right, top to bottom*)
c1 = {0, 0}; c2 = {r + 2, 0}; c3 = {r + 5, 0}; c4 = {r + 2, -(r + 2)};
c5 = {r + 5, -(r + 2)};
makeDisk[r_, c_] := {EdgeForm[Black],LightYellow, Disk[c, r]}(*change as needed*)
makeArrow[from_, to_, dir_] := Module[{z = Cos[Pi/4]},
Which[
dir == "right",
Arrow[{{from[[1]] + r, from[[2]]}, {to[[1]] - r, to[[2]]}}],
dir == "down",
Arrow[{{from[[1]], from[[2]] - r}, {to[[1]], to[[2]] + r}}],
dir == "right-down",
Arrow[{{from[[1]] + z, from[[2]] - z}, {to[[1]] - z, to[[2]] + z}}],
dir == "left-down",
Arrow[{{from[[1]] - z, from[[2]] - z}, {to[[1]] + z, to[[2]] + z}}]
]
];
putLabel[txt_, at_] := Style[Text[txt, at], Bold, 12]
Graphics[{
makeDisk[1, c1],
makeDisk[1, c2],
makeDisk[1, c3],
makeDisk[1, c4],
makeDisk[1, c5],
makeArrow[c2, c3, "right"],
makeArrow[c2, c4, "down"],
makeArrow[c3, c5, "down"],
makeArrow[c1, c4, "right-down"],
makeArrow[c3, c4, "left-down"],
putLabel["rush hour", c1],
putLabel["bad weather", c2],
putLabel["accident", c3],
putLabel["traffic jam", c4],
putLabel["siren", c5]
}, Axes -> False]
Answered by Nasser on April 13, 2021
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