{"id":{"repo_id":"western-cape","oai_identifier":"oai:uwcscholar.uwc.ac.za:10566/23122"},"canonical_url":"https://search.dev.ndltd.org/etd/western-cape/oai:uwcscholar.uwc.ac.za:10566/23122","repository":{"repo_id":"western-cape","name":"University of the Western Cape","base_url":"https://uwcscholar.uwc.ac.za:8443/server/oai/request"},"display":{"title":"Graphs of integral distance and their properties","abstract":"Understanding the geometries of points in space has been attractive to mathematicians for ages. As a model, twelve years ago, Kurz and Meyer [32] considered point sets in the m-dimensional a ne space Fmq over a nite eld Fq with q = pr elements, p prime, where each squared Euclidean distance of two points is a square in Fq: The latter points are said to be at integral distance in Fmq , and the sets above are called integral point sets.","abstract_html":"Understanding the geometries of points in space has been attractive to mathematicians for ages. As a model, twelve years ago, Kurz and Meyer [32] considered point sets in the m-dimensional a ne space Fmq over a nite eld Fq with q = pr elements, p prime, where each squared Euclidean distance of two points is a square in Fq: The latter points are said to be at integral distance in Fmq , and the sets above are called integral point sets.","abstract_has_math":false,"creators":["Habineza, Olivier"],"institution":"University of the Western Cape","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2021,"date_issued":"2021","date_published":"2021","updated_at":"2026-07-24T06:00:54Z","subjects":["Graphs","Integral point sets","Boolean algebra","Space","Geometries"],"languages":[],"rights":[],"rights_urls":["https://uwcscholar.uwc.ac.za/bitstreams/ffdeb609-994e-499b-b895-ed7458b0940c/download"],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Habineza, Olivier"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2021"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of the Western Cape"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://hdl.handle.net/10566/23122"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Graphs","Integral point sets","Boolean algebra","Space","Geometries"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["https://uwcscholar.uwc.ac.za/bitstreams/ffdeb609-994e-499b-b895-ed7458b0940c/download"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://uwcscholar.uwc.ac.za/bitstreams/628494dd-cff2-4dc4-9e14-89149b60d26a/download"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Understanding the geometries of points in space has been attractive to mathematicians for ages. As a model, twelve years ago, Kurz and Meyer [32] considered point sets in the m-dimensional a ne space Fmq over a nite eld Fq with q = pr elements, p prime, where each squared Euclidean distance of two points is a square in Fq: The latter points are said to be at integral distance in Fmq , and the sets above are called integral point sets."]},{"key":"dc:format.checksum.md5","label":"Dc Format Checksum Md5","values":["7242598d4ba7b1aaa4b9ab6cc7fc23db","bb9bdc0b3349e4284e09149f943790b4","cb610312c12a45eeb31e722177d18f07"]},{"key":"dc:title","label":"Title","values":["Graphs of integral distance and their properties"]}]}],"canonical_facts":{"dc:creator":["Habineza, Olivier"],"dc:date.issued":["2021"],"dc:description.abstract":["Understanding the geometries of points in space has been attractive to mathematicians for ages. As a model, twelve years ago, Kurz and Meyer [32] considered point sets in the m-dimensional a ne space Fmq over a nite eld Fq with q = pr elements, p prime, where each squared Euclidean distance of two points is a square in Fq: The latter points are said to be at integral distance in Fmq , and the sets above are called integral point sets."],"dc:format.checksum.md5":["7242598d4ba7b1aaa4b9ab6cc7fc23db","bb9bdc0b3349e4284e09149f943790b4","cb610312c12a45eeb31e722177d18f07"],"dc:identifier.uri":["https://uwcscholar.uwc.ac.za/bitstreams/628494dd-cff2-4dc4-9e14-89149b60d26a/download"],"dc:publisher.institution":["University of the Western Cape"],"dc:relation.isreferencedby":["https://hdl.handle.net/10566/23122"],"dc:rights":["https://uwcscholar.uwc.ac.za/bitstreams/ffdeb609-994e-499b-b895-ed7458b0940c/download"],"dc:subject":["Graphs","Integral point sets","Boolean algebra","Space","Geometries"],"dc:title":["Graphs of integral distance and their properties"],"dc:type":["Thesis"]},"updated_at":"2026-07-24T06:00:54Z"}