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Updates the definition of graph isomorphism #140

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Jan 19, 2025
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Updates the definition of graph isomorphism #140

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d6d980b
addresses #128
hartig Jan 17, 2025
b906255
removes the 'that is a node in G' part
hartig Jan 17, 2025
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15 changes: 8 additions & 7 deletions spec/index.html
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Expand Up @@ -955,19 +955,20 @@ <h3>Graph Comparison</h3>
<a>RDF graphs</a> <var>G</var> and <var>G'</var> are
<dfn data-lt="graph isomorphism|isomorphic" data-lt-noDefault class="export">isomorphic</dfn>
(that is, they have an identical form)
if there is a bijection <var>M</var> between the sets of <a>nodes</a> of the two
graphs, such that all of the following properties hold:</p>
if there is a bijection <var>M</var>
from the set of all <a>RDF terms</a> into that same set,
such that all of the following properties hold:</p>

<ul>
<li><var>M</var> maps blank nodes to blank nodes.</li>
<li><var>M</var>(<var>lit</var>)=<var>lit</var> for every <a>RDF literal</a> <var>lit</var> that
is a node of <var>G</var>.</li>
<li><var>M</var>(<var>lit</var>)=<var>lit</var> for every <a>RDF literal</a> <var>lit</var>.</li>

<li><var>M</var>(<var>iri</var>)=<var>iri</var> for every <a>IRI</a> <var>iri</var>
that is a node of <var>G</var>.</li>
<li><var>M</var>(<var>iri</var>)=<var>iri</var> for every <a>IRI</a> <var>iri</var>.</li>

<li><var>M</var>(<var>tt</var>) is the triple term ( <var>M</var>(<var>s</var>), <var>M</var>(<var>p</var>), <var>M</var>(<var>o</var>) ) if <var>tt</var> is a triple term of the form ( <var>s</var>, <var>p</var>, <var>o</var> ).</li>

<li>The triple ( <var>s</var>, <var>p</var>, <var>o</var> ) is in <var>G</var> if and
only if the triple ( <var>M</var>(<var>s</var>), <var>p</var>, <var>M</var>(<var>o</var>) ) is in
only if the triple ( <var>M</var>(<var>s</var>), <var>M</var>(<var>p</var>), <var>M</var>(<var>o</var>) ) is in
<var>G'</var>.</li>
</ul>

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