It is related but not the same. The problem you are experiencing is caused by a bug in Java 7u25 when displaying SVG nodes. Unlike the original poster's problem, there does not seem to exist a real fix for the SVG problem. Nevertheless, the next version of yEd will no longer crash due to this issue. However, as a consequence SVG nodes that trigger the error might not be displayed correctly.
As it stands, the only way to ensure correct SVG display is to stick to Java 7u21 (or earlier).
Your best option is to use the yEd version that comes with an embedded Java runtime environment, as that is guaranteed to work (and is installed in such a way that you are not affected by possible Java browser plugin vulnerabilities of the embedded JRE).