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<TITLE>Implementing Vertices</TITLE>
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<b>Data Structures and Algorithms
with Object-Oriented Design Patterns in C++</b><br>
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<H2><A NAME="SECTION0017210000000000000000">Implementing Vertices</A></H2>
<P>
What exactly is a vertex?
The answer to this question depends on the application.
At the very minimum,
every vertex in a graph must be distinguishable
from every other vertex in that graph.
We can do this by numbering consecutively the vertices of a graph.
<P>
Program <A HREF="page537.html#proggraph1h" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page537.html#proggraph1h"><IMG ALIGN=BOTTOM ALT="gif" SRC="cross_ref_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/cross_ref_motif.gif"></A> defines the concrete class <tt>Vertex</tt>.
Since we intend to insert instances of this class into containers,
the <tt>Vertex</tt> class is derived from the <tt>Object</tt> base class.
The <tt>Vertex</tt> class declares
a single member the single member variable <tt>number</tt>.
Each vertex inserted into a graph is required to have a different number.
<P>
<P><A NAME="50073"> </A><A NAME="proggraph1h"> </A> <IMG WIDTH=575 HEIGHT=219 ALIGN=BOTTOM ALT="program49684" SRC="img2373.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img2373.gif" ><BR>
<STRONG>Program:</STRONG> <tt>Vertex</tt> Class Definition<BR>
<P>
<P>
A single <tt>Vertex</tt> constructor is declared.
This constructor takes as its lone argument the number
that is to be assigned to the vertex.
In addition, the cast-to-<tt>Number</tt> member function
(<tt>operator Number</tt>) is also declared.
This allows the programmer to use a vertex wherever an integer is expected.
The cast returns the value of the <tt>number</tt> member variable.
<P>
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