Reading XML

[Spiffyguy]

I am just learning some php and I am having an issue. I am trying to read through an xml doc and create web links. This is the code I am trying to use.

<?php 
 $file = "includes/links.xml";
$xml = simplexml_load_file($file) or die ("Unable to load XML file!");
echo "loaded";
	if($xml)
	{
		foreach($xml->link->links as $link) 
        { 
            $url = $link->linkurl; 
            $sitename = $link->sitename; 
            
            echo '<a href="'.$url.'">'.$sitename.'</a><br />'; 
            
        } 
    } 
  ?>

And here is what the xml will look like.

<links>
	<link>
		<category>News</category>
		<linkurl>http://www.cnn.com</linkurl>
		<sitename>CNN</sitename>
	</link>
	
	<link>
		<category>Tech</category>
		<linkurl>http://www.google.com</linkurl>
		<sitename>Google</sitename>
	</link>
	
</links>

Ideally I would like to figure out how to read the category and then write the urls that fit the category. Right now it is loading but I am not getting any results.. I am quite sure the syntax is off so I am asking for some help.

Thanks