I recently looked at some other posts relating to this topic but as far as I can tell there is currently not a working plugin or script for QGIS 2.0 to achieve a four color theorem for styling polygon vector data (it doesn't necessarily have to be 4 colors, just so that each neighboring polygon is a different color, though keeping it at a minimum number of 4-6 colors would be elegant).
Answer
Use the TopoColour plugin, which is already compatible with QGIS 2.x but is not yet available in the official repository:
https://github.com/nyalldawson/topocolour
Download the zip file and unzip it in the QGIS plugin directory:
- Linux:
~/.qgis2/python/plugins - Windows:
C:\Users\{username}\.qgis2\python\plugins
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