Annoyed by the "username's blog" links on your single-author Drupal blog? Don't reach for "display:none;"! Don't remove the $links variable from your node template!

Just paste this code into your theme's template.php file. Be sure to replace "mytheme" in the function name with the machine-readable name of your theme.

courtesy of http://drupal.org/node/731548#comment-2682062
This works for Drupal 6

function mytheme_links($links, $attributes = array()) {
  if (isset($links['blog_usernames_blog'])) {
    unset($links['blog_usernames_blog']);
  }
  return theme_links($links, $attributes);
}