} else {
          name = "cluster_";
        }
        if (debug_options_.deterministic_cluster_names) {
          absl::StrAppend(&name, graph_fingerprint_, "_");
        }
        absl::StrAppend(&name,
                        GetNextClusterSequenceNumber(graph_fingerprint_));
      }

      n->AddAttr(kXlaClusterAttr, name);
      n->AddAttr(kXlaAlreadyClustered, true);