Address comments,

Remove inverse,
Deselect instead of unselect,
Add separator.

IPython/html/static/tree/js/notebooklist.js

@@ -126,8 +126,7 b' define(['
             $('#tree-selector .select-running-notebooks').click($.proxy(this.select_running_notebooks, this));
             $('#tree-selector .select-files').click($.proxy(this.select_files, this));
             $('#tree-selector .select-directories').click($.proxy(this.select_directories, this));
-            $('#tree-selector .select-inverse').click($.proxy(this.select_inverse, this));
-            $('#tree-selector .unselect-all').click($.proxy(this.unselect_all, this));
+            $('#tree-selector .deselect-all').click($.proxy(this.deselect_all, this));
         }
     };
 
@@ -379,7 +378,7 b' define(['
      * Select all of the notebooks in the tree.
      */
     NotebookList.prototype.select_notebooks = function() {
-        this.unselect_all();
+        this.deselect_all();
         $('.list_item').each(function(index, item) {
             if ($(item).data('type') === 'notebook') {
                 $(item).find('input[type=checkbox]').prop('checked', true);
@@ -392,7 +391,7 b' define(['
      * Select all of the running notebooks in the tree.
      */
     NotebookList.prototype.select_running_notebooks = function() {
-        this.unselect_all();
+        this.deselect_all();
         var that = this;
         $('.list_item').each(function(index, item) {
             if ($(item).data('type') === 'notebook' && that.sessions[$(item).data('path')] !== undefined) {
@@ -406,7 +405,7 b' define(['
      * Select all of the files in the tree.
      */
     NotebookList.prototype.select_files = function() {
-        this.unselect_all();
+        this.deselect_all();
         $('.list_item').each(function(index, item) {
             if ($(item).data('type') === 'file') {
                 $(item).find('input[type=checkbox]').prop('checked', true);
@@ -419,7 +418,7 b' define(['
      * Select all of the directories in the tree.
      */
     NotebookList.prototype.select_directories = function() {
-        this.unselect_all();
+        this.deselect_all();
         $('.list_item').each(function(index, item) {
             if ($(item).data('type') === 'directory') {
                 $(item).find('input[type=checkbox]').prop('checked', true);
@@ -429,19 +428,9 b' define(['
     };
 
     /**
-     * Select the inverse of the current selection.
-     */
-    NotebookList.prototype.select_inverse = function() {
-        $('.list_item input[type=checkbox]').each(function(index, item) {
-            $(item).prop('checked', !$(item).prop('checked'));
-        });
-        this._selection_changed();
-    };
-
-    /**
      * Unselect everything selected in the tree.
      */
-    NotebookList.prototype.unselect_all = function() {
+    NotebookList.prototype.deselect_all = function() {
         $('.list_item input[type=checkbox]').each(function(index, item) {
             $(item).prop('checked', false);
         });

IPython/html/templates/tree.html

@@ -76,23 +76,21 b' data-terminals-available="{{terminals_available}}"'
           </div>
           <div id="notebook_list">
             <div id="notebook_list_header" class="row list_header">
-
-<div class="dropdown" id='tree-selector'>
-  <button class="btn btn-default btn-xs dropdown-toggle" type="button" id="tree-selector-btn" data-toggle="dropdown" aria-expanded="true">
-    <input type='checkbox'></input>
-    <span class="caret"></span>
-  </button>
-  <ul class="dropdown-menu" role="menu" aria-labelledby="tree-selector-btn">
-    <li role="presentation" class="select-all"><a role="menuitem" tabindex="-1" href="#">Select all</a></li>
-    <li role="presentation" class="select-notebooks"><a role="menuitem" tabindex="-1" href="#">Select notebooks</a></li>
-    <li role="presentation" class="select-running-notebooks"><a role="menuitem" tabindex="-1" href="#">Select running notebooks</a></li>
-    <li role="presentation" class="select-files"><a role="menuitem" tabindex="-1" href="#">Select files</a></li>
-    <li role="presentation" class="select-directories"><a role="menuitem" tabindex="-1" href="#">Select directories</a></li>
-    <li role="presentation" class="select-inverse"><a role="menuitem" tabindex="-1" href="#">Select inverse</a></li>
-    <li role="presentation" class="unselect-all"><a role="menuitem" tabindex="-1" href="#">Unselect all</a></li>
-  </ul>
-</div>
-
+              <div class="dropdown" id='tree-selector'>
+                <button class="btn btn-default btn-xs dropdown-toggle" type="button" id="tree-selector-btn" data-toggle="dropdown" aria-expanded="true">
+                  <input type='checkbox'></input>
+                  <span class="caret"></span>
+                </button>
+                <ul class="dropdown-menu" role="menu" aria-labelledby="tree-selector-btn">
+                  <li role="presentation" class="select-all"><a role="menuitem" tabindex="-1" href="#">Select all</a></li>
+                  <li role="presentation" class="select-notebooks"><a role="menuitem" tabindex="-1" href="#">Select notebooks</a></li>
+                  <li role="presentation" class="select-running-notebooks"><a role="menuitem" tabindex="-1" href="#">Select running notebooks</a></li>
+                  <li role="presentation" class="select-files"><a role="menuitem" tabindex="-1" href="#">Select files</a></li>
+                  <li role="presentation" class="select-directories"><a role="menuitem" tabindex="-1" href="#">Select directories</a></li>
+                  <li role="presentation" class="divider"></li>
+                  <li role="presentation" class="deselect-all"><a role="menuitem" tabindex="-1" href="#">Deselect all</a></li>
+                </ul>
+              </div>
               <div id="project_name">
                 <ul class="breadcrumb">
                   <li><a href="{{breadcrumbs[0][0]}}"><i class="fa fa-home"></i></a></li>