SSH without password in NIS/NFS ,is it possible?

From: Allan (asun@BCH.UMontreal.CA)
Date: 06/26/02 

From: asun@BCH.UMontreal.CA (Allan)
Date: 26 Jun 2002 10:22:57 -0700

Hi All,

We're running NIS/NFS (Mandrake 8.2,kernel 2.4.18) and that my home
directory
is the same on all machines, I mean same as in auto-mounted.

Could somebody tell me how can I "ssh hostname" between these machines
without password/passphrase,is it possible?

PS,I'm using OpenSSH 3.1

Thanks a lot,