Chapter 11: Q19E (page 756)
How many edges does a full binary tree with \({\bf{1000}}\) internal vertices have?
A full binary tree with internal 1000 vertices has 2000 edges.
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Draw \({{\bf{B}}_{\bf{k}}}\) for \({\bf{k = 0,1,2,3,4}}\).
Explain how breadth-first search and how depth-first search can be used to determine whether a graph is bipartite.
Give six examples of well-formed formulae with three or more operators in postfix notation over the set of symbols \(\left\{ {{\bf{x,y,z}}} \right\}\) and the set of operators \(\left\{ {{\bf{ + , \ast ,}} \circ } \right\}\).
Find the second least expensive communications network connecting the five computer centers in the problem posed at the beginning of the section.
a) Define pre-order, in-order, and post-order tree traversal.
b) Give an example of pre-order, post-order, and in-order traversal of a binary tree of your choice with at least \(12\) vertices.
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