When comparing LibreOffice Draw vs yEd, the Slant community recommends yEd for most people. In the question“What are the best flowchart / diagram softwares?” yEd is ranked 4th while LibreOffice Draw is ranked 14th. The most important reason people chose yEd is:
With automatic layout you get great looking diagrams with very little effort. yEd has the most versatile and most complete collection of automatic layout algorithms.
Specs
Ranked in these QuestionsQuestion Ranking
Pros
Pro SWF Flash file export
Pro Free and open source
LibreOffice is available for free with code available here. It's licensed under LGPL v3 with new contributions dual-licensed under MPL.
Pro Automatic Layout
With automatic layout you get great looking diagrams with very little effort. yEd has the most versatile and most complete collection of automatic layout algorithms.
Pro Completely free
Pro Multi-platform
Runs on Windows, Linux and Mac OSX. There also is a Web application.
Cons
Con Clumsy UI
Con Not free-as-in-freedom
Not released under an open-source license.