then just wait to assign your array to a session variable until the next page.
example_page1.php
session_name('Tournament');
session_set_cookie_params(time()+3600, '/', 'digitalmustache.com');
session_start();
example_page2.php
session_name('Tournament');
session_start();
$_SESSION['brackets'] = serialize($yourarray);
The only thing you have to remember is that the session variable won't be available until the page reloads or your go to your next session-aware page.
Also, you will need to serialize the array for the session. Sessions cannot store associative arrays.
example_page3.php would then look like this.
session_name('Tournament');
session_start();
$brackets = unserialize($_SESSION['brackets']);