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Associate vertex coordinates and labels
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$begingroup$
This sounds easy (in which case I will delete my question) and maybe I am getting a bit tired, but I can't find an easy way to create a list from an automatically-generated graph where vertices labels and coordinates are associated, e.g. {index_vertex, {x,y}}.
From this image...
...here is my code so far:
image = Import["https://i.stack.imgur.com/5ZNrE.png"];
mask = FillingTransform[Thinning[Binarize[ColorReplace[image, White -> Black, .055], 0]], CornerNeighbors -> True];
skel = Thinning[mask];
morphograph = MorphologicalGraph[skel, VertexSize -> 2, VertexLabels -> "Index"];
newtreegraph = TreeGraph[DeleteCases[EdgeList[morphograph], x_ [UndirectedEdge] x_], VertexCoordinates -> GraphEmbedding[morphograph], VertexSize -> 5, VertexLabels -> "Index"]
that generates this nice TreeGraph
From that, I can obtain the EdgeList and vertices coordinates via GraphEmbedding but cannot easily connect the two... There must be an easy way I can't find ... Thanks
list-manipulation graphs-and-networks
edited 5 hours ago
Henrik Schumacher
54k472149
asked 5 hours ago
ValacarValacar
496213
$endgroup$
add a comment |
$begingroup$
This sounds easy (in which case I will delete my question) and maybe I am getting a bit tired, but I can't find an easy way to create a list from an automatically-generated graph where vertices labels and coordinates are associated, e.g. {index_vertex, {x,y}}.
From this image...
...here is my code so far:
image = Import["https://i.stack.imgur.com/5ZNrE.png"];
mask = FillingTransform[Thinning[Binarize[ColorReplace[image, White -> Black, .055], 0]], CornerNeighbors -> True];
skel = Thinning[mask];
morphograph = MorphologicalGraph[skel, VertexSize -> 2, VertexLabels -> "Index"];
newtreegraph = TreeGraph[DeleteCases[EdgeList[morphograph], x_ [UndirectedEdge] x_], VertexCoordinates -> GraphEmbedding[morphograph], VertexSize -> 5, VertexLabels -> "Index"]
that generates this nice TreeGraph
From that, I can obtain the EdgeList and vertices coordinates via GraphEmbedding but cannot easily connect the two... There must be an easy way I can't find ... Thanks
list-manipulation graphs-and-networks
edited 5 hours ago
Henrik Schumacher
54k472149
asked 5 hours ago
ValacarValacar
496213
$endgroup$
add a comment |
$begingroup$
This sounds easy (in which case I will delete my question) and maybe I am getting a bit tired, but I can't find an easy way to create a list from an automatically-generated graph where vertices labels and coordinates are associated, e.g. {index_vertex, {x,y}}.
From this image...
...here is my code so far:
image = Import["https://i.stack.imgur.com/5ZNrE.png"];
mask = FillingTransform[Thinning[Binarize[ColorReplace[image, White -> Black, .055], 0]], CornerNeighbors -> True];
skel = Thinning[mask];
morphograph = MorphologicalGraph[skel, VertexSize -> 2, VertexLabels -> "Index"];
newtreegraph = TreeGraph[DeleteCases[EdgeList[morphograph], x_ [UndirectedEdge] x_], VertexCoordinates -> GraphEmbedding[morphograph], VertexSize -> 5, VertexLabels -> "Index"]
that generates this nice TreeGraph
From that, I can obtain the EdgeList and vertices coordinates via GraphEmbedding but cannot easily connect the two... There must be an easy way I can't find ... Thanks
list-manipulation graphs-and-networks
edited 5 hours ago
Henrik Schumacher
54k472149
asked 5 hours ago
ValacarValacar
496213
$endgroup$
This sounds easy (in which case I will delete my question) and maybe I am getting a bit tired, but I can't find an easy way to create a list from an automatically-generated graph where vertices labels and coordinates are associated, e.g. {index_vertex, {x,y}}.
From this image...
...here is my code so far:
image = Import["https://i.stack.imgur.com/5ZNrE.png"];
mask = FillingTransform[Thinning[Binarize[ColorReplace[image, White -> Black, .055], 0]], CornerNeighbors -> True];
skel = Thinning[mask];
morphograph = MorphologicalGraph[skel, VertexSize -> 2, VertexLabels -> "Index"];
newtreegraph = TreeGraph[DeleteCases[EdgeList[morphograph], x_ [UndirectedEdge] x_], VertexCoordinates -> GraphEmbedding[morphograph], VertexSize -> 5, VertexLabels -> "Index"]
that generates this nice TreeGraph
From that, I can obtain the EdgeList and vertices coordinates via GraphEmbedding but cannot easily connect the two... There must be an easy way I can't find ... Thanks
list-manipulation graphs-and-networks
list-manipulation graphs-and-networks
edited 5 hours ago
Henrik Schumacher
54k472149
asked 5 hours ago
ValacarValacar
496213
edited 5 hours ago
Henrik Schumacher
54k472149
asked 5 hours ago
ValacarValacar
496213
edited 5 hours ago
Henrik Schumacher
54k472149
edited 5 hours ago
Henrik Schumacher
54k472149
edited 5 hours ago
Henrik Schumacher
54k472149
54k472149
asked 5 hours ago
ValacarValacar
496213
asked 5 hours ago
ValacarValacar
496213
asked 5 hours ago
ValacarValacar
496213
496213
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Do you mean this?
AssociationThread[
VertexList[newtreegraph],
PropertyValue[newtreegraph, VertexCoordinates]
]
<|1 -> {677.5, 957.5}, 8 -> {677.5, 953.5}, <<459>>, 455 -> {300.5, 84.5}|>
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54k472149
$endgroup$
1
$begingroup$
Instead ofPropertyValue[newtreegraph, VertexCoordinates]you can also useGraphEmbedding[newtreegraph].
$endgroup$
– Szabolcs
1 hour ago
add a comment |
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1 Answer
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votes
1 Answer
1
active
oldest
votes
active
oldest
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active
oldest
votes
$begingroup$
Do you mean this?
AssociationThread[
VertexList[newtreegraph],
PropertyValue[newtreegraph, VertexCoordinates]
]
<|1 -> {677.5, 957.5}, 8 -> {677.5, 953.5}, <<459>>, 455 -> {300.5, 84.5}|>
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54k472149
$endgroup$
1
$begingroup$
Instead ofPropertyValue[newtreegraph, VertexCoordinates]you can also useGraphEmbedding[newtreegraph].
$endgroup$
– Szabolcs
1 hour ago
add a comment |
$begingroup$
Do you mean this?
AssociationThread[
VertexList[newtreegraph],
PropertyValue[newtreegraph, VertexCoordinates]
]
<|1 -> {677.5, 957.5}, 8 -> {677.5, 953.5}, <<459>>, 455 -> {300.5, 84.5}|>
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54k472149
$endgroup$
1
$begingroup$
Instead ofPropertyValue[newtreegraph, VertexCoordinates]you can also useGraphEmbedding[newtreegraph].
$endgroup$
– Szabolcs
1 hour ago
add a comment |
$begingroup$
Do you mean this?
AssociationThread[
VertexList[newtreegraph],
PropertyValue[newtreegraph, VertexCoordinates]
]
<|1 -> {677.5, 957.5}, 8 -> {677.5, 953.5}, <<459>>, 455 -> {300.5, 84.5}|>
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54k472149
$endgroup$
Do you mean this?
AssociationThread[
VertexList[newtreegraph],
PropertyValue[newtreegraph, VertexCoordinates]
]
<|1 -> {677.5, 957.5}, 8 -> {677.5, 953.5}, <<459>>, 455 -> {300.5, 84.5}|>
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54k472149
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54k472149
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54k472149
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54k472149
54k472149
1
$begingroup$
Instead ofPropertyValue[newtreegraph, VertexCoordinates]you can also useGraphEmbedding[newtreegraph].
$endgroup$
– Szabolcs
1 hour ago
add a comment |
1
$begingroup$
Instead ofPropertyValue[newtreegraph, VertexCoordinates]you can also useGraphEmbedding[newtreegraph].
$endgroup$
– Szabolcs
1 hour ago
1
1
$begingroup$
Instead of
PropertyValue[newtreegraph, VertexCoordinates] you can also use GraphEmbedding[newtreegraph].$endgroup$
– Szabolcs
1 hour ago
$begingroup$
Instead of
PropertyValue[newtreegraph, VertexCoordinates] you can also use GraphEmbedding[newtreegraph].$endgroup$
– Szabolcs
1 hour ago
add a comment |
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