I guess you want to select only single item under each item and want to select multiple nodes those have different parent nodes. If so attach OnClientNodeClicking event and try the client side code shown below.
JavaScript:
<script type="text/javascript">
function OnClientNodeClicking(sender, args) {
var parent = args.get_node().get_parent();
if (parent != null && !args.get_node().get_selected()) {
var number = parent.get_nodes().get_count();
for (var i = 0; i < number; i++) {
if (parent.get_nodes().getNode(i).get_selected()) {