Can we add buttons to enable dropdown menus on the nodes?

On click of a button present on the Node, we should be able to show some options in a dropdown menu.

dropdown

Sure, that really isn’t any different than context menus. Under what conditions would you expect those “options” to disappear?

    var popupCommands =
      $("ContextMenu",
        $("ContextMenuButton",
          $(go.TextBlock, "Copy"),
          { click: function(e, button) {
              var node = button.part.adornedPart;
              e.diagram.select(node);
              e.diagram.commandHandler.copySelection();
            }
          }),
        $("ContextMenuButton",
          $(go.TextBlock, "Delete"),
          { click: function(e, button) {
              var node = button.part.adornedPart;
              e.diagram.select(node);
              e.diagram.commandHandler.deleteSelection();
            }
          })
      );


    myDiagram.nodeTemplate =
      $(go.Node, "Auto",
        { contextMenu: popupCommands },
        $(go.Shape,
          { fill: "white", portId: "", fromLinkable: true, toLinkable: true, cursor: "pointer" },
          new go.Binding("fill", "color")),
        $(go.Panel, "Table",
          { margin: 4 },
          $(go.Shape, "Circle",
            { alignment: go.Spot.Right, width: 8,
              click: function(e, obj) {
                var node = obj.part;
                e.diagram.commandHandler.showContextMenu(node);
              }
            }),
          $(go.TextBlock,
            { row: 1, editable: true },
            new go.Binding("text").makeTwoWay())
        )
      );