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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="SECTION0017110000000000000000">Representing Graphs</A></H2>
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Consider a directed graph <IMG WIDTH=72 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline71355" SRC="img2282.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img2282.gif" >.
Since <IMG WIDTH=72 HEIGHT=26 ALIGN=MIDDLE ALT="tex2html_wrap_inline71365" SRC="img2285.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img2285.gif" >,
graph <I>G</I> contains at most <IMG WIDTH=24 HEIGHT=25 ALIGN=MIDDLE ALT="tex2html_wrap_inline71641" SRC="img2344.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img2344.gif" > edges.
There are <IMG WIDTH=29 HEIGHT=15 ALIGN=BOTTOM ALT="tex2html_wrap_inline71643" SRC="img2345.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img2345.gif" > possible sets of edges
for a given set of vertices <IMG WIDTH=10 HEIGHT=12 ALIGN=BOTTOM ALT="tex2html_wrap_inline71357" SRC="img2283.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img2283.gif" >.
Therefore,
the main concern when designing a graph representation scheme
is to find a suitable way to represent the set of edges.
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