I just downloaded the Desktop version for my Kbuntu 18, and execute:
sudo chmod +x neo4j-desktop-offline-1.2.3-x86_64.AppImage
Then:
./neo4j-desktop-offline-1.2.3-x86_64.AppImage
However, it didn't start:
./neo4j-desktop-offline-1.2.3-x86_64.AppImage
desktop-file-install is missing. Skipping /tmp/.mount_neo4j-qEseZe/AppRun.
(neo4j-desktop:2828): Gtk-WARNING **: 01:20:15.137: Theme parsing error: gtk.css:68:35: The style property GtkButton:child-displacement-x i
s deprecated and shouldn't be used anymore. It will be removed in a future version
(neo4j-desktop:2828): Gtk-WARNING **: 01:20:15.137: Theme parsing error: gtk.css:69:35: The style property GtkButton:child-displacement-y i
s deprecated and shouldn't be used anymore. It will be removed in a future version
(neo4j-desktop:2828): Gtk-WARNING **: 01:20:15.137: Theme parsing error: gtk.css:73:46: The style property GtkScrolledWindow:scrollbars-wit
hin-bevel is deprecated and shouldn't be used anymore. It will be removed in a future version
[01:20:16.0802] [info] Starting Neo4j Desktop 1.2.3 @ Linux 4.15.0-72-generic
It says 'Starting', but nothing shows up later. The first time when I started it, it gave an error message. After I restarted my computer, it ran like this, no error message, but didn't really start.