'Branches' in the Bible

Took branches of palm-trees and went out to him, crying, A blessing on him who comes in the name of the Lord, the King of Israel!

I am the vine, you are the branches: he who is in me at all times as I am in him, gives much fruit, because without me you are able to do nothing.

If a man does not keep himself in me, he becomes dead and is cut off like a dry branch; such branches are taken up and put in the fire and burned.