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| 2 | <!-- |
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| 3 | -- Copyright (c) Jeremy Siek 2001 |
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| 4 | -- |
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| 5 | -- Permission to use, copy, modify, distribute and sell this software |
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| 6 | -- and its documentation for any purpose is hereby granted without fee, |
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| 7 | -- provided that the above copyright notice appears in all copies and |
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| 8 | -- that both that copyright notice and this permission notice appear |
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| 9 | -- in supporting documentation. Silicon Graphics makes no |
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| 10 | -- representations about the suitability of this software for any |
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| 11 | -- purpose. It is provided "as is" without express or implied warranty. |
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| 12 | --> |
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| 13 | <Head> |
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| 14 | <Title>Vertex Mutable Graph</Title> |
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| 15 | <BODY BGCOLOR="#ffffff" LINK="#0000ee" TEXT="#000000" VLINK="#551a8b" |
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| 16 | ALINK="#ff0000"> |
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| 17 | <IMG SRC="../../../boost.png" |
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| 18 | ALT="C++ Boost" width="277" height="86"> |
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| 19 | |
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| 20 | <BR Clear> |
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| 21 | |
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| 22 | <H2><A NAME="concept:VertexMutableGraph"> |
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| 23 | Vertex Mutable Graph |
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| 24 | </H2> |
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| 25 | |
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| 26 | A vertex mutable graph can be changed by adding or removing |
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| 27 | vertices. The memory management is the responsibility of the graph |
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| 28 | implementation. The graph user need only make calls to |
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| 29 | <TT>add_vertex</TT> and <TT>remove_vertex</TT> and the graph |
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| 30 | implementation does the rest. |
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| 31 | |
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| 32 | <H3>Refinement of</H3> |
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| 33 | |
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| 34 | <a href="./Graph.html">Graph</a> and <a |
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| 35 | href="http://www.sgi.com/tech/stl/DefaultConstructible.html">DefaultConstructible</a> |
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| 36 | |
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| 37 | <H3>Associated Types</H3> |
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| 38 | |
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| 39 | No additional associated types. |
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| 40 | |
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| 41 | <h3>Valid Expressions</h3> |
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| 42 | |
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| 43 | <ul> |
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| 44 | <li><a name="sec:add_vertex"><TT>add_vertex(g)</TT></a> |
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| 45 | <b>returns</b> <TT>vertex_descriptor</TT> |
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| 46 | <br><br> |
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| 47 | |
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| 48 | <b>Semantics:</b> Add a new vertex to the graph. The |
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| 49 | <TT>vertex_descriptor</TT> for the new vertex is returned.<br> |
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| 50 | </li> |
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| 51 | |
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| 52 | <li><a name="sec:remove_vertex"><tt>remove_vertex(u, g)</tt></a> |
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| 53 | <b>returns</b> <tt>void</tt><br><br> |
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| 54 | |
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| 55 | <b> Semantics:</b> Remove <i>u</i> from the vertex set of the graph. |
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| 56 | <br> |
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| 57 | <b> Preconditions:</b> <i>u</i> is a valid vertex descriptor of graph <i>g</i> |
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| 58 | and there are no edges incident to vertex <i>u</i>. The function |
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| 59 | <TT>clear_vertex</TT> can be used to remove all incident edges. |
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| 60 | <br> |
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| 61 | <b> Postconditions: </b> <TT>num_vertices(g)</TT> is one less; <i>u</i> |
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| 62 | no longer appears in the vertex set of the graph and it |
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| 63 | is no longer a valid vertex descriptor. |
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| 64 | </li> |
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| 65 | |
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| 66 | </ul> |
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| 67 | |
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| 68 | <H3>Complexity guarantees</H3> |
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| 69 | <ul> |
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| 70 | <li> Vertex insertion is guaranteed to be amortized constant time. |
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| 71 | |
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| 72 | <li> Vertex removal is at most <TT>O(|E| + |V|)</TT>. |
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| 73 | </ul> |
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| 74 | |
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| 75 | |
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| 76 | <br> |
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| 77 | <HR> |
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| 78 | <TABLE> |
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| 79 | <TR valign=top> |
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| 80 | <TD nowrap>Copyright © 2000-2001</TD><TD> |
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| 81 | <A HREF="../../../people/jeremy_siek.htm">Jeremy Siek</A>, Indiana University (<A HREF="mailto:jsiek@osl.iu.edu">jsiek@osl.iu.edu</A>) |
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| 82 | <A HREF="../../../people/jeremy_siek.htm">Lie-Quan Lee</A>, Indiana University (<A HREF="mailto:llee@cs.indiana.edu">llee@cs.indiana.edu</A>) |
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| 83 | </TD></TR></TABLE> |
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| 84 | |
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| 85 | </BODY> |
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| 86 | </HTML> |
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| 87 | |
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