projects / ceph.git / blame
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1 | <HTML> |
| 2 | <!-- | |
| 3 | Copyright (c) Jeremy Siek 2001 | |
| 4 | ||
| 5 | Distributed under the Boost Software License, Version 1.0. | |
| 6 | (See accompanying file LICENSE_1_0.txt or copy at | |
| 7 | http://www.boost.org/LICENSE_1_0.txt) | |
| 8 | --> | |
| 9 | <Head> | |
| 10 | <Title>Vertex Mutable Graph</Title> | |
| 11 | <BODY BGCOLOR="#ffffff" LINK="#0000ee" TEXT="#000000" VLINK="#551a8b" | |
| 12 | ALINK="#ff0000"> | |
| 13 | <IMG SRC="../../../boost.png" | |
| 14 | ALT="C++ Boost" width="277" height="86"> | |
| 15 | ||
| 16 | <BR Clear> | |
| 17 | ||
| 18 | <H2><A NAME="concept:VertexMutableGraph"> | |
| 19 | Vertex Mutable Graph | |
| 20 | </H2> | |
| 21 | ||
| 22 | A vertex mutable graph can be changed by adding or removing | |
| 23 | vertices. The memory management is the responsibility of the graph | |
| 24 | implementation. The graph user need only make calls to | |
| 25 | <TT>add_vertex</TT> and <TT>remove_vertex</TT> and the graph | |
| 26 | implementation does the rest. | |
| 27 | ||
| 28 | <H3>Refinement of</H3> | |
| 29 | ||
| 30 | <a href="./Graph.html">Graph</a> and <a | |
| 31 | href="http://www.sgi.com/tech/stl/DefaultConstructible.html">DefaultConstructible</a> | |
| 32 | ||
| 33 | <H3>Associated Types</H3> | |
| 34 | ||
| 35 | No additional associated types. | |
| 36 | ||
| 37 | <h3>Valid Expressions</h3> | |
| 38 | ||
| 39 | <ul> | |
| 40 | <li><a name="sec:add_vertex"><TT>add_vertex(g)</TT></a> | |
| 41 | <b>returns</b> <TT>vertex_descriptor</TT> | |
| 42 | <br><br> | |
| 43 | ||
| 44 | <b>Semantics:</b> Add a new vertex to the graph. The | |
| 45 | <TT>vertex_descriptor</TT> for the new vertex is returned.<br> | |
| 46 | </li> | |
| 47 | ||
| 48 | <li><a name="sec:remove_vertex"><tt>remove_vertex(u, g)</tt></a> | |
| 49 | <b>returns</b> <tt>void</tt><br><br> | |
| 50 | ||
| 51 | <b> Semantics:</b> Remove <i>u</i> from the vertex set of the graph. | |
| 52 | <br> | |
| 53 | <b> Preconditions:</b> <i>u</i> is a valid vertex descriptor of graph <i>g</i> | |
| 54 | and there are no edges incident to vertex <i>u</i>. The function | |
| 55 | <TT>clear_vertex</TT> can be used to remove all incident edges. | |
| 56 | <br> | |
| 57 | <b> Postconditions: </b> <TT>num_vertices(g)</TT> is one less; <i>u</i> | |
| 58 | no longer appears in the vertex set of the graph and it | |
| 59 | is no longer a valid vertex descriptor. | |
| 60 | </li> | |
| 61 | ||
| 62 | </ul> | |
| 63 | ||
| 64 | <H3>Complexity guarantees</H3> | |
| 65 | <ul> | |
| 66 | <li> Vertex insertion is guaranteed to be amortized constant time. | |
| 67 | ||
| 68 | <li> Vertex removal is at most <TT>O(|E| + |V|)</TT>. | |
| 69 | </ul> | |
| 70 | ||
| 71 | ||
| 72 | <br> | |
| 73 | <HR> | |
| 74 | <TABLE> | |
| 75 | <TR valign=top> | |
| 76 | <TD nowrap>Copyright © 2000-2001</TD><TD> | |
| 77 | <A HREF="http://www.boost.org/people/jeremy_siek.htm">Jeremy Siek</A>, Indiana University (<A HREF="mailto:jsiek@osl.iu.edu">jsiek@osl.iu.edu</A>) | |
| 78 | <A HREF="http://www.boost.org/people/jeremy_siek.htm">Lie-Quan Lee</A>, Indiana University (<A HREF="mailto:llee@cs.indiana.edu">llee@cs.indiana.edu</A>) | |
| 79 | </TD></TR></TABLE> | |
| 80 | ||
| 81 | </BODY> | |
| 82 | </HTML> | |
| 83 |