From [UESP](http://www.uesp.net/wiki/Skyrim:Weapons):

 - 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](http://forums.bethsoft.com/topic/1342463-complete-character-design-freedom-damage-resist-caps-and-ridiculous-damage-thread-10/))


Finally, here are the two handed weapon types so you know which ones to avoid:
 
 - Greatswords
 - Warhammers
 - Battleaxes
 - Bows