Data Structures and Algorithms
with Object-Oriented Design Patterns in Java 
With the merge method at our disposal, the enqueue operation is easy to implement. To enqueue an item in a given binomial queue, we create another binomial queue that contains just the one item to be enqueued and merge that queue with the original one.
Program 
shows how easily this can be done.
Creating the empty queue (line 9) takes a constant amount of time.
Creating the binomial tree 
with the one object at its root (line 10)
can also be done in constant time.
Finally, the time required to merge the two queues is
where n is the number of items originally in the queue.
Program: BinomialQueue class enqueue method.
Copyright © 1998 by Bruno R. Preiss, P.Eng. All rights reserved.