How to remove related post from home page

I am using thesis i am displaying related post using bellow snippet code.My problem is that i dont want load related post on home page.with the css trick we can make it display none but it loads so i dont want load related post on home page.

i tried this condition if ( is_home() ) and is_front_page() to load function for specific page but its load the related post on home page.

can any body tell how do i prevent this hook to unload related post on home page witout css trick.

function my_related_posts() {

 $orig_post = $post;
global $post;
$tags = wp_get_post_tags($post-ID);
if ($tags) {
$tag_ids = array();
foreach($tags as $individual_tag) $tag_ids[] = $individual_tag-term_id;
$args=array(
'tag__in' = $tag_ids,
'post__not_in' = array($post-ID),
'posts_per_page'=12, // Number of related posts that will be shown.
'caller_get_posts'=1
);
$my_query = new wp_query( $args );
if( $my_query-have_posts() ) {

echo 'div id="related_posts"h3 class="heading033"Read More/h3ul';

while( $my_query-have_posts() ) {
$my_query-the_post(); ?

lidiv class="relatedthumb"a href="? the_permalink()?" rel="bookmark" title="?php the_title(); ?" ?php echo the_post_thumbnail('medium') ?/a/div
div class="relatedcontent"
h3a href="? the_permalink()?" rel="bookmark" title="?php the_title(); ?"?php the_title(); ?/a/h3

/div
/li
? }
echo '/ul/div';
}
}
$post = $orig_post;
wp_reset_query();

}
add_action('thesis_hook_after_post','my_related_posts');