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Out of memoryOops, didn't see that. mysqld is requesting additional memory and getting killed because there isn't any left. If "goes off line" means that the physical hardware ends up off or the kernel becomes unresponsive, then the problem is probably not mysqld (or it is multiple problems).
There are at least a million different possible causes. There are too obstacles that will prevent me from putting any more thought into your problem. First, you are running an old development kernel. Switch to a development kernel now. There is never a reason to run a development kernel on a server.
Second, you did not answer my questions. You did slightly clarify your initial post, but I still don't know how many CPU cores you have, or which version of mysqld you are running. I don't even know if "reboot" means restarting the physical system itself or the daemon, or what "goes off line" means.