Código PHP:
echo '<input type="checkbox" name="delete['.$row["id_client"].']" value="'.$row["id_client"].'"> • '.$row["name"];
Código PHP:
$delete=array(strip_tags($_POST["delete"]));
foreach($delete as $del_email)
{
mysql_db_query($db,"delete from clients where id_client='$del_email'");
}