{"id":{"repo_id":"etsu","oai_identifier":"oai:dc.etsu.edu:etd-3225"},"canonical_url":"https://search.dev.ndltd.org/etd/etsu/oai:dc.etsu.edu:etd-3225","repository":{"repo_id":"etsu","name":"East Tennessee State University","base_url":"https://dc.etsu.edu/do/oai/"},"display":{"title":"Independent Domination in Complementary Prisms.","abstract":"<p>Let <em>G</em> be a graph and <em>G&#773;</em> be the complement of <em>G</em>. The complementary prism <em>GG&#773;</em> of <em>G</em> is the graph formed from the disjoint union of <em>G</em> and <em>G&#773;</em> by adding the edges of a perfect matching between the corresponding vertices of <em>G</em> and <em>G&#773;</em>. For example, if <em>G</em> is a 5-cycle, then <em>GG&#773;</em> is the Petersen graph. In this paper we investigate independent domination in complementary prisms.</p>","abstract_html":"&lt;p&gt;Let &lt;em&gt;G&lt;/em&gt; be a graph and &lt;em&gt;G&amp;#773;&lt;/em&gt; be the complement of &lt;em&gt;G&lt;/em&gt;. The complementary prism &lt;em&gt;GG&amp;#773;&lt;/em&gt; of &lt;em&gt;G&lt;/em&gt; is the graph formed from the disjoint union of &lt;em&gt;G&lt;/em&gt; and &lt;em&gt;G&amp;#773;&lt;/em&gt; by adding the edges of a perfect matching between the corresponding vertices of &lt;em&gt;G&lt;/em&gt; and &lt;em&gt;G&amp;#773;&lt;/em&gt;. For example, if &lt;em&gt;G&lt;/em&gt; is a 5-cycle, then &lt;em&gt;GG&amp;#773;&lt;/em&gt; is the Petersen graph. In this paper we investigate independent domination in complementary prisms.&lt;/p&gt;","abstract_has_math":false,"creators":["Gongora, Joel Agustin"],"institution":null,"degree_name":"MS (Master of Science)","degree_level":"Thesis - unrestricted","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2009,"date_issued":"2009-08-19T07:00:00Z","date_published":"2009-08-19T07:00:00Z","updated_at":"2026-07-24T02:21:03Z","subjects":["independent domination","catesian product","complementary product","complementary prism","Discrete Mathematics and Combinatorics","Mathematics","Physical Sciences and Mathematics"],"languages":[],"rights":["Copyright by the authors."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dc.etsu.edu/etd/1873","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Gongora, Joel Agustin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2009-08-19T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - unrestricted"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS (Master of Science)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["independent domination","catesian product","complementary product","complementary prism","Discrete Mathematics and Combinatorics","Mathematics","Physical Sciences and Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["Copyright by the authors."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dc.etsu.edu/context/etd/article/3225/viewcontent/GongoraJ052709f.pdf","https://dc.etsu.edu/etd/1873"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>Let <em>G</em> be a graph and <em>G&#773;</em> be the complement of <em>G</em>. The complementary prism <em>GG&#773;</em> of <em>G</em> is the graph formed from the disjoint union of <em>G</em> and <em>G&#773;</em> by adding the edges of a perfect matching between the corresponding vertices of <em>G</em> and <em>G&#773;</em>. For example, if <em>G</em> is a 5-cycle, then <em>GG&#773;</em> is the Petersen graph. In this paper we investigate independent domination in complementary prisms.</p>"]},{"key":"dc:title","label":"Title","values":["Independent Domination in Complementary Prisms."]}]}],"canonical_facts":{"dc:creator":["Gongora, Joel Agustin"],"dc:date.issued":["2009-08-19T07:00:00Z"],"dc:description.abstract":["<p>Let <em>G</em> be a graph and <em>G&#773;</em> be the complement of <em>G</em>. The complementary prism <em>GG&#773;</em> of <em>G</em> is the graph formed from the disjoint union of <em>G</em> and <em>G&#773;</em> by adding the edges of a perfect matching between the corresponding vertices of <em>G</em> and <em>G&#773;</em>. For example, if <em>G</em> is a 5-cycle, then <em>GG&#773;</em> is the Petersen graph. In this paper we investigate independent domination in complementary prisms.</p>"],"dc:identifier":["https://dc.etsu.edu/context/etd/article/3225/viewcontent/GongoraJ052709f.pdf","https://dc.etsu.edu/etd/1873"],"dc:rights":["Copyright by the authors."],"dc:subject":["independent domination","catesian product","complementary product","complementary prism","Discrete Mathematics and Combinatorics","Mathematics","Physical Sciences and Mathematics"],"dc:title":["Independent Domination in Complementary Prisms."],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis - unrestricted"],"thesis:degree_name":["MS (Master of Science)"]},"updated_at":"2026-07-24T02:21:03Z"}