From UESP:
- Swords
- Maces
- War Axes
- Daggers*
The material type will not affect whether or not its one or two handed.
(Note that daggers do not benefit from one-handed skill perks Armsman or Bladesman. But instead they benefit from the perks in the sneak tree, namely Backstab and Assassin's Blade. Source)
Finally, here are the two handed weapon types so you know which ones to avoid:
- Greatswords
- Warhammers
- Battleaxes
There are also Bows, which benefit from neither one handed perks and levels nor two handed perks and levels.