Lets break it down, so maybe the next time a crash happens you know what to look for
java.lang.RuntimeException: java.io.EOFException
means that a file ended while more was expected, thus it probably became corrupted
at codechicken.wirelessredstone.core.SaveManager.loadNodes(SaveManager.java:505)
Reveals the mod that causes the problem, in this case wireless redstone
Sadly it doesn't tell what file got corrupted, however in your world folder is a folder called RedstoneEther or something among those lines. Make a backup of the folder and delete it. (or wait for someone else to reply that may have a better answer)