/usr/share/desktop-directories/ is in lxmenu-data 0.1.4-1.
This file is owned by root:root, with mode 0o755.
..
/usr/share/desktop-directories/lxde-audio-video.directory
/usr/share/desktop-directories/lxde-debian.directory
/usr/share/desktop-directories/lxde-development.directory
/usr/share/desktop-directories/lxde-education.directory
/usr/share/desktop-directories/lxde-game.directory
/usr/share/desktop-directories/lxde-graphics.directory
/usr/share/desktop-directories/lxde-hardware.directory
/usr/share/desktop-directories/lxde-internet-and-network.directory
/usr/share/desktop-directories/lxde-look-and-feel.directory
/usr/share/desktop-directories/lxde-menu-applications.directory
/usr/share/desktop-directories/lxde-menu-system.directory
/usr/share/desktop-directories/lxde-network.directory
/usr/share/desktop-directories/lxde-office.directory
/usr/share/desktop-directories/lxde-other.directory
/usr/share/desktop-directories/lxde-personal.directory
/usr/share/desktop-directories/lxde-science-math.directory
/usr/share/desktop-directories/lxde-settings-system.directory
/usr/share/desktop-directories/lxde-settings.directory
/usr/share/desktop-directories/lxde-system-tools.directory
/usr/share/desktop-directories/lxde-system.directory
/usr/share/desktop-directories/lxde-utility-accessibility.directory
/usr/share/desktop-directories/lxde-utility.directory