transtvreduc.html

来自「数据结构词典（英文）」· HTML 代码 · 共 50 行

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<H1>transitive reduction</H1>
<P>
(definition)

<P>
<strong>Definition:</strong>
The transitive reduction of a <a href="directgraph.html" tppabs="http://hissa.nist.gov/dads/HTML/directgraph.html"><em>directed graph</em></a> G is the directed graph G' with the smallest number of <a href="edge.html" tppabs="http://hissa.nist.gov/dads/HTML/edge.html"><em>edges</em></a> such for every <a href="path.html" tppabs="http://hissa.nist.gov/dads/HTML/path.html"><em>path</em></a> between <a href="vertex.html" tppabs="http://hissa.nist.gov/dads/HTML/vertex.html"><em>vertices</em></a> in G, G' has a path between those vertices.
<P><strong>See also</strong>
<a href="reducdigraph.html" tppabs="http://hissa.nist.gov/dads/HTML/reducdigraph.html"><em>reduced digraph</em></a>, <a href="transitvclsr.html" tppabs="http://hissa.nist.gov/dads/HTML/transitvclsr.html"><em>transitive closure</em></a>.
<P><em>Note:
Informally G' is the minimal graph with the connectivity as G. After abstract of  <A HREF="javascript:if(confirm('http://www.cma.ensmp.fr/Alexandre.Frey/biblio/Aho+72.html  \n\nThis file was not retrieved by Teleport Pro, because it is addressed on a domain or path outside the boundaries set for its Starting Address.  \n\nDo you want to open it from the server?'))window.location='http://www.cma.ensmp.fr/Alexandre.Frey/biblio/Aho+72.html'" tppabs="http://www.cma.ensmp.fr/Alexandre.Frey/biblio/Aho+72.html"><strong>A. V. Aho, M. R. Garey</strong>, and <strong>J. D. Ullman</strong>. <em>The transitive reduction of a directed graph</em>.</A> SIAM Journal on Computing, 1:131--137, 1972.</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>
<H2>Implementation</H2>
<A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.cs.sunysb.edu/%7Ealgorith/files/transitive-closure.shtml  \n\nThis file was not retrieved by Teleport Pro, because it is addressed on a domain or path outside the boundaries set for its Starting Address.  \n\nDo you want to open it from the server?'))window.location='http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.cs.sunysb.edu/%7Ealgorith/files/transitive-closure.shtml'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.cs.sunysb.edu/%7Ealgorith/files/transitive-closure.shtml">on a graph (C++ and Mathematica)</A>

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&nbsp;(<a href="mailto:paul.black@nist.gov">paul.black@nist.gov</a>).

<p>
Entry modified Wed Mar 17 14:41:12 1999.<BR>
HTML page formatted Wed Dec 22 09:36:45 1999.

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