Nilanjan:
Thanks for the question. The "edge wedge" for each node represents, in a very visual sense, what (who) that node is connected to. I guess I would not say that the shape has much meaning in an absolute sense, but lots of meaning in a relative sense, i.e. you can compare the wedges of some nodes to get a sense of how they are similar and different in their node neighborhoods. One property I can deduce from the wedges right off is that this is either an undirected multigraph (multiple edges between two nodes) or a directed graph with lots of reciprocal edges (e.g. A->B and B->A). I can see that because the slope of the bottom of the wedges is less than 45 degrees. I can see that Gundeep, Rasleen, Uttamjeet, and (to a lesser extent) Fatehbir share relations with the same group of nodes, i.e. maybe the top half of Gundeeps neighbors, because the wedges have the same shape in that stretch of node rows. And I can say that half of Rasleen's neighbors are shared with Gundeep, because half of Rasleen's links terminate in the nodes that Gundeep is connected to.