A set S of vertices in a graph G=(V,E) is a total dominating set of G if every vertex of V is adjacent to some vertex in S. In this thesis, we consider total dominating sets of minimum cardinality which have the additional property that distinct vertices of V are totally dominated by distinct subsets of the total dominating set.
","abstract_html":"<p>A set <em>S</em> of vertices in a graph <em>G</em>=(<em>V</em>,<em>E</em>) is a total dominating set of <em>G</em> if every vertex of <em>V</em> is adjacent to some vertex in <em>S</em>. In this thesis, we consider total dominating sets of minimum cardinality which have the additional property that distinct vertices of <em>V</em> are totally dominated by distinct subsets of the total dominating set.</p>","abstract_has_math":false,"creators":["Howard, Jamie Marie"],"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":2004,"date_issued":"2004-05-01T07:00:00Z","date_published":"2004-05-01T07:00:00Z","updated_at":"2026-07-24T02:19:28Z","subjects":["differentiating total dominating set","locating-total dominating set","Physical Sciences and Mathematics"],"languages":[],"rights":["Copyright by the authors."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dc.etsu.edu/etd/872","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Howard, Jamie Marie"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2004-05-01T07:00:00Z"]},{"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":["differentiating total dominating set","locating-total dominating set","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/2029/viewcontent/HowardJaime032504b.pdf","https://dc.etsu.edu/etd/872"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A set S of vertices in a graph G=(V,E) is a total dominating set of G if every vertex of V is adjacent to some vertex in S. In this thesis, we consider total dominating sets of minimum cardinality which have the additional property that distinct vertices of V are totally dominated by distinct subsets of the total dominating set.
"]},{"key":"dc:title","label":"Title","values":["Locating and Total Dominating Sets in Trees."]}]}],"canonical_facts":{"dc:creator":["Howard, Jamie Marie"],"dc:date.issued":["2004-05-01T07:00:00Z"],"dc:description.abstract":["A set S of vertices in a graph G=(V,E) is a total dominating set of G if every vertex of V is adjacent to some vertex in S. In this thesis, we consider total dominating sets of minimum cardinality which have the additional property that distinct vertices of V are totally dominated by distinct subsets of the total dominating set.
"],"dc:identifier":["https://dc.etsu.edu/context/etd/article/2029/viewcontent/HowardJaime032504b.pdf","https://dc.etsu.edu/etd/872"],"dc:rights":["Copyright by the authors."],"dc:subject":["differentiating total dominating set","locating-total dominating set","Physical Sciences and Mathematics"],"dc:title":["Locating and Total Dominating Sets in Trees."],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis - unrestricted"],"thesis:degree_name":["MS (Master of Science)"]},"updated_at":"2026-07-24T02:19:28Z"}