'Branches' in the Bible

took branches of the palm trees and went out to meet Him, shouting as they went, "God save him! Blessings on him who comes in the name of the Lord--even on the King of Israel!"

I am the Vine, you are the branches. He who continues in me and in whom I continue bears abundant fruit, for apart from me you can do nothing.

If any one does not continue in me, he is like the unfruitful branch which is at once thrown away and then withers up. Such branches they gather up and throw into the fire and they are burned.