 Data Structures and Algorithms 
with Object-Oriented Design Patterns in Java
Data Structures and Algorithms 
with Object-Oriented Design Patterns in Java 
  
  
  
  
 
Since binomial trees are simply general trees with a special shape,
we can make use of the GeneralTree class
presented in Section  to implement the BinomialTree class.
(See Figure
to implement the BinomialTree class.
(See Figure  ).
).
Program  introduces the BinomialQueue class
and the inner class BinomialTree.
The BinomialTree class extends the GeneralTree class
introduced in Program
 introduces the BinomialQueue class
and the inner class BinomialTree.
The BinomialTree class extends the GeneralTree class
introduced in Program  .
.
No new fields a declared in the BinomialTree class. Remember that the implementation of the GeneralTree class uses a linked list to contain the pointers to the subtrees, since the degree of a node in a general tree may be arbitrarily large. Also, the GeneralTree class already keeps track of the degree of a node in its degree field. Since the degree of the root node of a binomial tree of order k is k, it is not necessary to keep track of the order explicitly. The degree variable serves this purpose nicely.
 
  
  
  
  
 
 Copyright © 1998 by Bruno R. Preiss, P.Eng.  All rights reserved.
Copyright © 1998 by Bruno R. Preiss, P.Eng.  All rights reserved.