{"id":13177,"date":"2021-12-07T20:21:02","date_gmt":"2021-12-08T01:21:02","guid":{"rendered":"https:\/\/carleton.ca\/scs\/?page_id=13177"},"modified":"2021-12-07T20:21:02","modified_gmt":"2021-12-08T01:21:02","slug":"tr-06-11-incremental-construction-of-k-dominating-sets-in-wireless-sensor","status":"publish","type":"page","link":"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-2006\/tr-06-11-incremental-construction-of-k-dominating-sets-in-wireless-sensor\/","title":{"rendered":"TR-06-11: Incremental Construction of k-Dominating Sets in Wireless Sensor"},"content":{"rendered":"<p>Carleton University<br \/>\n<a href=\"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-2006\/\">Technical Report<\/a> TR-06-11<br \/>\nDecember 18, 2006<\/p>\n<h2>Incremental Construction of k-Dominating Sets in Wireless Sensor<\/h2>\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<p class=\"tr_t3\">Mathieu Couture, Michel Barbeau, Prosenjit Bose, Evangelos Kranakis<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>Abstract<\/h3>\n<p>Given a graph G, a k-dominating set of G is a subset S of its vertices with the property that every vertex of G is either in S or has at least k neighbors in S. We present a new incremental local algorithm to construct a k-dominating set. The algorithm constructs a monotone family of dominating sets D1\u2264 D2&#8230;\u2264 Di&#8230;\u2264 Dk such that each Di is an i-dominating set. For unit disk graphs, the size of each of the resulting i-dominating sets is at most six times the optimal.<\/p>\n<p><a href=\"https:\/\/carleton.ca\/scs\/wp-content\/uploads\/TR-06-11.pdf\">TR-06-11.pdf<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Carleton University Technical Report TR-06-11 December 18, 2006 Incremental Construction of k-Dominating Sets in Wireless Sensor Mathieu Couture, Michel Barbeau, Prosenjit Bose, Evangelos Kranakis Abstract Given a graph G, a k-dominating set of G is a subset S of its vertices with the property that every vertex of G is either in S or has [&hellip;]<\/p>\n","protected":false},"author":49,"featured_media":0,"parent":12352,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","_mi_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":"","_links_to":"","_links_to_target":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - 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