Update 2012-01-14: For OAuth 2.0 implementation, please refer to the new post.
Facebook Javascript SDK – Logout with OAuth 2.0
Update 2011-12-19: Since Facebook has updated their authentication system and HTTP to OAuth 2.0 and HTTPS. The following example will not work any more. i will update the post later. For more information, you can refer to Jerry Cain – Updated JavaScript SDK and OAuth 2.0 Roadmap
We tried a simple Facebook login using Facebook Javascript SDK yesterday.
Facebook Javascript SDK – A Simple Login Page
In the above post, the browser will not refresh the website URL after the Facebook login process is completed. We have to issue a refresh manually. Actually we can add the reload/redirect with just a simple API call.
Let’s add the FB.Event.subscribe in fb-login.php.
<?php
// Enter the app id and secret below
define('YOUR_APP_ID', '<facebook app id>');
define('YOUR_APP_SECRET', 'facebook app secret');
function get_facebook_cookie($app_id, $app_secret) {
$args = array();
parse_str(trim($_COOKIE['fbs_' . $app_id], '\\"'), $args);
ksort($args);
$payload = '';
foreach ($args as $key => $value) {
if ($key != 'sig') {
$payload .= $key . '=' . $value;
}
}
if (md5($payload . $app_secret) != $args['sig']) {
return null;
}
return $args;
}
$cookie = get_facebook_cookie(YOUR_APP_ID, YOUR_APP_SECRET);
$user = json_decode(file_get_contents('https://graph.facebook.com/me?access_token='.$cookie['access_token']));
?>
<html>
<head>
<title>Eureka! - My Facebook Login Page</title>
</head>
<body>
<div id="fb-root"></div>
<?php if ($user->id) { ?>
<p>Welcome <?= $user->name ?></p>
<?php } else { ?>
<script src="http://connect.facebook.net/en_US/all.js"></script>
<script>
FB.init({
appId:<?php print YOUR_APP_ID; ?>, cookie:true,
status:true, xfbml:true
});
/*** Redirect after Facebook login ***/
FB.Event.subscribe("auth.login", function(response) {
// Reload the same page
window.location.reload();
// Or uncomment the following line to redirect
//window.location = "https://ykyuen.wordpress.com";
});
</script>
<fb:login-button>Login to Eureka!</fb:login-button>
<?php } ?>
</body>
</html>
Done =)
Reference: Facebook Developers – Facebook for Websites
Eureka! 
this will not work, you are using depricated.and old php-fb-sdk. use latest release then post here.
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Yes, please refer to Facebook Javascript SDK – Logout with OAuth 2.0
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