Using a mandolin slicer (or a knife) thinly slice the cucumber into thin, malleable slices. Pat dry.
To make the cucumber rolls, layer two cucumber slices on top of each other and spread a layer of cream cheese. Add a piece of smoked salmon lengthwise across the cucumber. Add about 4-5 pieces of carrot and 1-2 slices of avocado to the middle of the cucumber and place horizontally. Roll the cucumber into a tight roll, using the cream cheese to seal shut. Repeat with all of the ingredients.
Place the cucumber rolls facing up (with the avocado and carrot standing up) and sprinkle with bagel seasoning. Serve fresh.
Notes
To make AIP, use mashed avocado instead of cream cheese. Omit the bagel seasoning and use