Mermaid ERD diagrams are kinda new and lack any kind of clickable support (at least any that I could find), so to make it work for The Brick gem which is a data-related Ruby on Rails add-on, I found it was possible to create this Javascript object with node names and link destinations:
var links = {
  Customer: "/customers/index",
  Employee: "/employees/index",
  Shipper: "/shippers/index",
  OrderDetail: "/order_details/index",
  Site: "/sites/index",
  User: "/users/index"
};
And then in the Mermaid initializer use this to do addEventListener("click" ...) on relevant graphics objects inside the Mermaid SVG with this trickery:
mermaid.initialize({
  startOnLoad: true,
  securityLevel: "loose",
  er: { useMaxWidth: false },
  mermaid: {callback: function(objId) {
    var svg = document.getElementById(objId);
    var nodeName;
    for(nodeName in links) {
      var gErd = svg.getElementById(nodeName);
      gErd.addEventListener("click",
        function (evt) {
          location.href = links[this.id];
        }
      );
    }
  }}
});
The result is if you click anywhere inside the node, it navigates.  Hopefully something similar is possible in your graphs.