On distance regular graphs with b2=1 and antipodal covers

This thesis is an exposition of the paper entitled On Distance Regular Graphs with b2 = 1 and Antipodal Covers by Makoto Araya, Akira Hiraki, and Alexander Jurisic.Let T be a Distance Regular Graph of valency k2. It is shown that if b2 = 1, the T is antipodal and one of the following holds:(1) T is...

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Main Author: Soriano, Renilda V.
Format: text
Language:English
Published: Animo Repository 1998
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Online Access:https://animorepository.dlsu.edu.ph/etd_masteral/1959
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_masteral-87972021-01-28T12:16:43Z On distance regular graphs with b2=1 and antipodal covers Soriano, Renilda V. This thesis is an exposition of the paper entitled On Distance Regular Graphs with b2 = 1 and Antipodal Covers by Makoto Araya, Akira Hiraki, and Alexander Jurisic.Let T be a Distance Regular Graph of valency k2. It is shown that if b2 = 1, the T is antipodal and one of the following holds:(1) T is the dodecahedron(2) d = 4 and T is antipodal double cover for a Strongly Regular Graph with parameters (k, a1, c2) = (n2 + 1, 0, 2) for an integer n not divisible by four.(3) d = 3 and T is an antipodal cover of a complete graph. 1998-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_masteral/1959 Master's Theses English Animo Repository Graph theory Combinatorial analysis Mathematics Combinatorial packing and covering Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Graph theory
Combinatorial analysis
Mathematics
Combinatorial packing and covering
Mathematics
spellingShingle Graph theory
Combinatorial analysis
Mathematics
Combinatorial packing and covering
Mathematics
Soriano, Renilda V.
On distance regular graphs with b2=1 and antipodal covers
description This thesis is an exposition of the paper entitled On Distance Regular Graphs with b2 = 1 and Antipodal Covers by Makoto Araya, Akira Hiraki, and Alexander Jurisic.Let T be a Distance Regular Graph of valency k2. It is shown that if b2 = 1, the T is antipodal and one of the following holds:(1) T is the dodecahedron(2) d = 4 and T is antipodal double cover for a Strongly Regular Graph with parameters (k, a1, c2) = (n2 + 1, 0, 2) for an integer n not divisible by four.(3) d = 3 and T is an antipodal cover of a complete graph.
format text
author Soriano, Renilda V.
author_facet Soriano, Renilda V.
author_sort Soriano, Renilda V.
title On distance regular graphs with b2=1 and antipodal covers
title_short On distance regular graphs with b2=1 and antipodal covers
title_full On distance regular graphs with b2=1 and antipodal covers
title_fullStr On distance regular graphs with b2=1 and antipodal covers
title_full_unstemmed On distance regular graphs with b2=1 and antipodal covers
title_sort on distance regular graphs with b2=1 and antipodal covers
publisher Animo Repository
publishDate 1998
url https://animorepository.dlsu.edu.ph/etd_masteral/1959
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