'Branches' in the Bible

Took branches of palm trees, and went forth to meet him, and cried, Hosanna: Blessed is the King of Israel that cometh in the name of the Lord.

I am the vine, ye are the branches: He that abideth in me, and I in him, the same bringeth forth much fruit: for without me ye can do nothing.

Unless a person abides in me, he is thrown away like a pruned branch and dries up. People gather such branches, throw them into a fire, and they are burned up.