Generate Category List by Category Name

<?php
$beforeHtml = "<div id='' class=''>";
$afterHtml = "</div>";
$result = "<ul class='catlist'>";
$categoryName="nameOfCategory"; //Category Name
$numberOfPosts=10; //Number of posts
$catposts = get_posts('category_name='.$categoryName."&numberposts=".$numberOfPosts);
foreach($catposts as $single):
$result .= "<li><a href='";
$result .= get_permalink($single->ID)."'>".$single->post_title."</a> <span class='catlistpostcomment'>(".$single->comment_count.")</span></li>";
endforeach;
$result .= "</ul>";
$htmlList = $beforeHtml . $result . $afterHtml;
echo $htmlList;
?>