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Associate vertex coordinates and labels


How to add vertex/edge labels to existing graphPlace graph vertex labels in circlesExtracting vertex coordinates from an automatically laid out graphCalculating the median difference between elements with a (particular pair) of consecutive integer indices residing in the same sublistVertex labels versus vertex names in VertexRenderingFunctionVertex Names as Labels in GraphPlotsVertices overlap with vertex labelsPermutations on graph vertex labelsVertex labels of graph: {index,weight}Positioning of vertex labels on graph













4












$begingroup$


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...



enter image description here



...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



enter image description here



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










share|improve this question











$endgroup$

















    4












    $begingroup$


    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...



    enter image description here



    ...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



    enter image description here



    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










    share|improve this question











    $endgroup$















      4












      4








      4


      1



      $begingroup$


      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...



      enter image description here



      ...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



      enter image description here



      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










      share|improve this question











      $endgroup$




      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...



      enter image description here



      ...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



      enter image description here



      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






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 6 hours ago









      Henrik Schumacher

      54k472149




      54k472149










      asked 6 hours ago









      ValacarValacar

      496213




      496213






















          1 Answer
          1






          active

          oldest

          votes


















          5












          $begingroup$

          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}|>







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Instead of PropertyValue[newtreegraph, VertexCoordinates] you can also use GraphEmbedding[newtreegraph].
            $endgroup$
            – Szabolcs
            3 hours ago











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          1 Answer
          1






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          1 Answer
          1






          active

          oldest

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          active

          oldest

          votes






          active

          oldest

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          5












          $begingroup$

          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}|>







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Instead of PropertyValue[newtreegraph, VertexCoordinates] you can also use GraphEmbedding[newtreegraph].
            $endgroup$
            – Szabolcs
            3 hours ago
















          5












          $begingroup$

          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}|>







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Instead of PropertyValue[newtreegraph, VertexCoordinates] you can also use GraphEmbedding[newtreegraph].
            $endgroup$
            – Szabolcs
            3 hours ago














          5












          5








          5





          $begingroup$

          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}|>







          share|improve this answer









          $endgroup$



          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}|>








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 6 hours ago









          Henrik SchumacherHenrik Schumacher

          54k472149




          54k472149








          • 1




            $begingroup$
            Instead of PropertyValue[newtreegraph, VertexCoordinates] you can also use GraphEmbedding[newtreegraph].
            $endgroup$
            – Szabolcs
            3 hours ago














          • 1




            $begingroup$
            Instead of PropertyValue[newtreegraph, VertexCoordinates] you can also use GraphEmbedding[newtreegraph].
            $endgroup$
            – Szabolcs
            3 hours ago








          1




          1




          $begingroup$
          Instead of PropertyValue[newtreegraph, VertexCoordinates] you can also use GraphEmbedding[newtreegraph].
          $endgroup$
          – Szabolcs
          3 hours ago




          $begingroup$
          Instead of PropertyValue[newtreegraph, VertexCoordinates] you can also use GraphEmbedding[newtreegraph].
          $endgroup$
          – Szabolcs
          3 hours ago


















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