Example of view, which assigns path for a view mode and adds a local tab for this view mode. You'll probably want to use Tab tamer module (https://drupal.org/project/tabtamer) for reordering the tabs.

view_mode_tabs_views.php

$view = new view();
$view->name = 'replace_node_tabs';
$view->description = '';
$view->tag = 'default';
$view->base_table = 'node';
$view->human_name = 'Replace node tabs';
$view->core = 7;
$view->api_version = '3.0';
$view->disabled = FALSE; /* Edit this to true to make a default view disabled initially */

/* Display: Master */
$handler = $view->new_display('default', 'Master', 'default');
$handler->display->display_options['title'] = 'Seznam';
$handler->display->display_options['use_more_always'] = FALSE;
$handler->display->display_options['access']['type'] = 'perm';
$handler->display->display_options['cache']['type'] = 'none';
$handler->display->display_options['query']['type'] = 'views_query';
$handler->display->display_options['exposed_form']['type'] = 'basic';
$handler->display->display_options['pager']['type'] = 'none';
$handler->display->display_options['style_plugin'] = 'default';
$handler->display->display_options['row_plugin'] = 'node';
$handler->display->display_options['row_options']['view_mode'] = 'seznam';
$handler->display->display_options['row_options']['links'] = FALSE;
/* Field: Content: Title */
$handler->display->display_options['fields']['title']['id'] = 'title';
$handler->display->display_options['fields']['title']['table'] = 'node';
$handler->display->display_options['fields']['title']['field'] = 'title';
$handler->display->display_options['fields']['title']['label'] = '';
$handler->display->display_options['fields']['title']['alter']['word_boundary'] = FALSE;
$handler->display->display_options['fields']['title']['alter']['ellipsis'] = FALSE;
/* Sort criterion: Content: Post date */
$handler->display->display_options['sorts']['created']['id'] = 'created';
$handler->display->display_options['sorts']['created']['table'] = 'node';
$handler->display->display_options['sorts']['created']['field'] = 'created';
$handler->display->display_options['sorts']['created']['order'] = 'DESC';
/* Contextual filter: Content: Nid */
$handler->display->display_options['arguments']['nid']['id'] = 'nid';
$handler->display->display_options['arguments']['nid']['table'] = 'node';
$handler->display->display_options['arguments']['nid']['field'] = 'nid';
$handler->display->display_options['arguments']['nid']['default_action'] = 'default';
$handler->display->display_options['arguments']['nid']['default_argument_type'] = 'node';
$handler->display->display_options['arguments']['nid']['summary']['number_of_records'] = '0';
$handler->display->display_options['arguments']['nid']['summary']['format'] = 'default_summary';
$handler->display->display_options['arguments']['nid']['summary_options']['items_per_page'] = '25';
/* Filter criterion: Content: Published */
$handler->display->display_options['filters']['status']['id'] = 'status';
$handler->display->display_options['filters']['status']['table'] = 'node';
$handler->display->display_options['filters']['status']['field'] = 'status';
$handler->display->display_options['filters']['status']['value'] = 1;
$handler->display->display_options['filters']['status']['group'] = 1;
$handler->display->display_options['filters']['status']['expose']['operator'] = FALSE;

/* Display: Page */
$handler = $view->new_display('page', 'Page', 'page');
$handler->display->display_options['path'] = 'node/%/seznam';
$handler->display->display_options['menu']['type'] = 'tab';
$handler->display->display_options['menu']['title'] = 'Seznam';
$handler->display->display_options['menu']['weight'] = '-3';
$handler->display->display_options['menu']['name'] = 'main-menu';
$handler->display->display_options['menu']['context'] = 0;
$handler->display->display_options['menu']['context_only_inline'] = 0;