In this thesis, we consider the decomposition of the complete mixed graph on v vertices denoted Mv, into every possible mixed graph on three vertices which has (like Mv) twice as many arcs as edges. Direct constructions are given in most cases. Decompositions of theλ-fold complete mixed graph λMv, are also studied.
","abstract_html":"<p>In this thesis, we consider the decomposition of the complete mixed graph on <em>v</em> vertices denoted <em>M<sub>v</sub></em>, into every possible mixed graph on three vertices which has (like <em>M<sub>v</sub></em>) twice as many arcs as edges. Direct constructions are given in most cases. Decompositions of theλ-fold complete mixed graph λ<em>M<sub>v</sub></em>, are also studied.</p>","abstract_has_math":false,"creators":["Jum, Ernest"],"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":["Graceful Labelings","Mixed Wheels","Mixed Graphs","Triple Systems.","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/1876","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Jum, Ernest"]}]},{"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":["Graceful Labelings","Mixed Wheels","Mixed Graphs","Triple Systems.","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/3228/viewcontent/JumE072209f.PDF","https://dc.etsu.edu/etd/1876"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis, we consider the decomposition of the complete mixed graph on v vertices denoted Mv, into every possible mixed graph on three vertices which has (like Mv) twice as many arcs as edges. Direct constructions are given in most cases. Decompositions of theλ-fold complete mixed graph λMv, are also studied.
"]},{"key":"dc:title","label":"Title","values":["The Last of the Mixed Triple Systems."]}]}],"canonical_facts":{"dc:creator":["Jum, Ernest"],"dc:date.issued":["2009-08-19T07:00:00Z"],"dc:description.abstract":["In this thesis, we consider the decomposition of the complete mixed graph on v vertices denoted Mv, into every possible mixed graph on three vertices which has (like Mv) twice as many arcs as edges. Direct constructions are given in most cases. Decompositions of theλ-fold complete mixed graph λMv, are also studied.
"],"dc:identifier":["https://dc.etsu.edu/context/etd/article/3228/viewcontent/JumE072209f.PDF","https://dc.etsu.edu/etd/1876"],"dc:rights":["Copyright by the authors."],"dc:subject":["Graceful Labelings","Mixed Wheels","Mixed Graphs","Triple Systems.","Discrete Mathematics and Combinatorics","Mathematics","Physical Sciences and Mathematics"],"dc:title":["The Last of the Mixed Triple Systems."],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis - unrestricted"],"thesis:degree_name":["MS (Master of Science)"]},"updated_at":"2026-07-24T02:21:03Z"}