# How to mark nodes and insert weights in an adjacency graph?

I have a graph with 12 nodes. The x and y coordinates are give as

xcord={154.780094065851,    302.747331652902,   348.235746943268,   959.228504576796,   1021.26721027296,   1114.13365936238,   358.208241883160,   181.741156296042,   838.759299985938,   906.502702816486,   662.579285251179,   536.372745335719};

ycord={347.543166449207,    461.536311618993,   261.753095520236,   431.778284592051,   250.920713280060,   432.113192132818,   1044.66583584371,   1044.70069210915,   1135.19457237168,   984.121301679063,   792.153882418914,   708.946190878097};


Also, these are the edges connecting the nodes.

Edges={{1,2},{1,3},{1,8},{1,11},{1,12},{2,3},{2,4},{2,7},{2,8},{2,11},{2,12},{3,4},{3,5},{3,11},{3,12},{4,5},{4,6},{4,10},{4,11},{4,12},{5,6},{5,11},{5,12},{6,10},{6,11},{6,12},{7,8},{7,9},{7,10},{7,11},{7,12},{8,9},{8,11},{8,12},{9,10},{9,11},{9,12},{10,11},{10,12},{11,12}};


Let's say, The weight of the edges are randomly generated.

I want to plot the graph. The nodes should be depicted as circles with the index within it. I also want to place the weight over the edges.

How can I do it?

xy = Transpose[{xcord, ycord}];

SeedRandom[1];
ew = Round[ RandomReal[1, Length@edges], .01];

wam = SparseArray[Thread[edges -> ew], {12, 12}, Infinity];

VertexCoordinates -> xy,
PlotTheme -> "IndexLabeled",
EdgeLabels -> "EdgeWeight",
ImageSize -> Large,
EdgeShapeFunction -> "CurvedEdge"]


VertexStyle -> Directive[EdgeForm[{Thick, Blue}], LightBlue]


to color the vertices, and the option

EdgeStyle -> Thread[(DirectedEdge @@@ edges) ->


to style edges and add arrow heads at both ends of edges

To render the edges without arrow heads, either (1) use EdgeShapeFunction -> "CurvedArc" or (2) add the option DirectedEdges -> False and replace (DirectedEdge @@@ edges) with (UndirectedEdge @@@ edges) in EdgeStyle -> ...:

• thanks a lot for your answer. The edges are not directional. we can have either (1) edges with no arrow at both ends or (2) arrows at both ends. Would you please plot both of this:
– MGK
Jun 7, 2021 at 23:28
• Also, I would prefer colourful plot. nodes with same colour. The edges can take different colours.
– MGK
Jun 7, 2021 at 23:31
• @dipaknarayanan, please see the update.
– kglr
Jun 7, 2021 at 23:51
• Thanks a lot. This is exactly what I was hoping.
– MGK
Jun 8, 2021 at 0:08
• the EdgeStyle is nor working! Braket error!
– MGK
Jun 8, 2021 at 8:27