OK you only want to show the links from one category, this is how you do it. In this example we want to see the links from the search category.

<?php
//connect to server with username and password
$connection = mysql_connect ("localhost","username", "password") or die ("Cannot make the connection");
//connect to database
$db = mysql_select_db ("test",$connection) or die ("Cannot connect to database");
//our SQL query
$sql_query = "SELECT * FROM test WHERE cat like 'search'";
//store the SQL query in the result variable
$result = mysql_query($sql_query);
if(mysql_num_rows($result))
{
//output as long as there are still available fields
while($row = mysql_fetch_row($result))
{
echo ("<a href=\"$row[2]\">$row[3]</a>");
echo (": $row[4]<br>");
}
}
//if no fields exist
else
{
echo "no values in the database";
}

?>