To show the home page like the archive page in Graphene them

<?php get_header(); ?>

<?php if (have_posts()) : ?>
    <?php while (have_posts()) : the_post(); global $graphene_settings; ?>

        <div id="post-<?php the_ID(); ?>" <?php post_class('clearfix post'); ?>>

            <?php /* Post date is not shown if this is a Page post */ ?>
            <?php if (!is_page() && ( strpos($graphene_settings['post_date_display'], 'icon_') === 0 ) && get_post_type($post) != 'page') : ?>
            <div class="date updated">
                <p class="default_date"><?php the_time('M'); ?><br /><span><?php the_time('d') ?></span>
                    <?php if ($graphene_settings['post_date_display'] == 'icon_plus_year') : ?>
                    <br /><span class="year"><?php the_time('Y'); ?></span>
                    <?php endif; ?>
                </p>

                <?php do_action('graphene_post_date'); ?>

            </div>
            <?php endif; ?>

            <?php   /* Show the post author's gravatar if enabled */
            if ($graphene_settings['show_post_avatar'] && !is_page() && get_post_type($post) != 'page') {
                echo get_avatar(get_the_author_meta('user_email'), 40);
            } ?>

            <?php do_action('graphene_before_post'); ?>

            <div class="entry clearfix">

                <?php /* Post title */
                $tag = (is_singular() && !is_front_page()) ? 'h1' : 'h2';
                echo '<'.$tag.' class="post-title entry-title">';
                ?>
                    <a href="<?php the_permalink() ?>" rel="bookmark" title="<?php printf(esc_attr__('Permalink to %s', 'graphene'), the_title_attribute('echo=0')); ?>"><?php if (get_the_title() == '') {_e('(No title)','graphene');} else {the_title();} ?></a>
                <?php do_action('graphene_post_title'); ?>
                <?php echo '</'.$tag.'>'; ?>

                <?php /* Post meta */ ?>
                <?php if (get_post_type($post) != 'page' || is_user_logged_in() || (is_singular() && $graphene_settings['print_css'] && $graphene_settings['print_button'])) : ?>
                <div class="post-meta clearfix">

                    <?php /* Post category, not shown if this is a Page post or if admin decides to hide it */ ?>
                    <?php if (!is_page() && ($graphene_settings['hide_post_cat'] != true)) : ?>
                    <span class="printonly"><?php _e('Categories:', 'graphene'); ?> </span>
                    <ul class="meta_categories">
                        <li><?php the_category(",</li>\n<li>") ?></li>
                    </ul>
                    <?php endif; ?>

                    <?php /* Edit post link, if user is logged in */ ?>
                    <?php if (is_user_logged_in()) : ?>
                    <p class="edit-post">
                        <?php edit_post_link(__('Edit post','graphene'), ' (', ')'); ?>
                    </p>
                    <?php endif; ?>

                    <?php /* Inline post date */
                        if ($graphene_settings['post_date_display'] == 'text' && !is_page()){
                            echo '<p class="post-date-inline updated">';
                            the_time(get_option('date_format'));
                            echo '</p>';
                        }
                    ?>

                    <?php /* Post author, not not shown if this is a Page post or if admin decides to hide it */ ?>
                    <?php if ($graphene_settings['hide_post_author'] != true) : ?>
                    <p class="post-author vcard">
                        <?php
                            if (!is_page() && get_post_type($post) != 'page') {
                                /* translators: this is for the author byline, such as 'by John Doe' */
                                _e('by','graphene'); echo ' <span class="fn nickname">'; the_author_posts_link(); echo '</span>';
                            }
                        ?>
                    </p>
                    <?php endif; ?>

                    <?php do_action('graphene_post_meta'); ?>
                </div>
                <?php endif; ?>

                <?php /* Post content */ ?>
                <div class="entry-content clearfix">
                    <?php do_action('graphene_before_post_content'); ?>

                    <?php /* The post thumbnail */
                    if (has_post_thumbnail(get_the_ID())) { ?>
                        <div class="excerpt-thumb">
                        <a href="<?php the_permalink() ?>" rel="bookmark" title="<?php printf(esc_attr__('Permalink to %s', 'graphene'), the_title_attribute('echo=0')); ?>">
                            <?php the_post_thumbnail(apply_filters('graphene_excerpt_thumbnail_size', 'thumbnail')); ?>
                        </a>
                        </div>
                        <?php
                    } else {
                        echo graphene_get_post_image(get_the_ID(), apply_filters('graphene_excerpt_thumbnail_size', 'thumbnail'), 'excerpt');
                    }
                    ?>
                    <?php the_excerpt(); ?>

                    <?php wp_link_pages(array('before' => __('<div class="link-pages"><p><strong>Pages:</strong> ','graphene'), 'after' => '</p></div>', 'next_or_number' => 'number')); ?>

                    <?php do_action('graphene_after_post_content'); ?>

                </div>

                <?php /* Post footer */ ?>
                <div class="entry-footer clearfix">
                    <?php /* Display the post's tags, if there is any */ ?>
                    <?php if (!is_page() && get_post_type($post) != 'page' && ($graphene_settings['hide_post_tags'] != true)) : ?>
                    <p class="post-tags"><?php if (has_tag()) {_e('Tags:','graphene'); the_tags(' ', ', ', '');} else {_e('This post has no tag','graphene');} ?></p>
                    <?php endif; ?>

                    <?php
                        /**
                         * Display AddThis social sharing button if single post page, comments popup link otherwise.
                         * See the graphene_addthis() function in functions.php
                        */
                    ?>
                    <?php if (is_single() || is_page()) : ?>
                        <?php graphene_addthis(get_the_ID()); ?>
                    <?php elseif ($graphene_settings['hide_post_commentcount'] != true && comments_open() && graphene_should_show_comments() ) : ?>
                        <p class="comment-link"><?php comments_popup_link(__('Leave comment','graphene'), __('1 comment','graphene'), __("% comments",'graphene')); ?></p>
                    <?php endif; ?>

                    <?php do_action('graphene_post_footer'); ?>
                </div>
            </div>
        </div>

        <?php
        /**
         * Display Adsense advertising for single post pages
         * See graphene_adsense() function in functions.php
        */
        ?>
        <?php if (!is_front_page() || (is_front_page() && $graphene_settings['adsense_show_frontpage'])) {graphene_adsense();} ?>

    <?php endwhile; ?>

    <?php /* Display posts navigation if this is not a single post page */ ?>
    <?php if (!is_single()) : ?>
        <?php /* Posts navigation. See functions.php for the function definition */ ?>
        <?php graphene_posts_nav(); ?>
    <?php endif; ?>

<?php /* If there is no post, display message and search form */ ?>
<?php else : ?>
    <div class="post page">
        <h2><?php _e('Not found','graphene'); ?></h2>
        <div class="entry-content">
            <p>
            <?php
                if (!is_search())
                    _e("Sorry, but you are looking for something that isn't here. Wanna try a search?","graphene");
                else
                    _e("Sorry, but no results were found for that keyword. Wanna try an alternative keyword search?","graphene");
            ?>

            </p>
            <?php get_search_form(); ?>
        </div>
    </div>

    <?php do_action('graphene_not_found'); ?>
<?php endif; ?>

<?php do_action('graphene_bottom_content'); ?>

<?php get_footer(); ?>