Preheat oven to 375°F. Lightly butter muffin pan cups (12cups – 2½-inch diameter.)
In a large bowl, whisk together flour, baking soda, salt and cinnamon. Make a well in center of dry ingredients. Set aside.
Cream together butter and sugar. Blend in eggs. Blend in applesauce.
Pour wet ingredients into well in dry ingredients, then gently fold mixture until just combined. Batter should be somewhat lumpy. Do not over mix.
Fill prepared muffin cups. Sprinkle tops with chopped nuts.
Bake 20 minutes or until tops are browned.