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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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 |
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Graph theory Combinatorial analysis Mathematics Combinatorial packing and covering Mathematics Soriano, Renilda V. On distance regular graphs with b2=1 and antipodal covers |
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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. |
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Soriano, Renilda V. |
author_facet |
Soriano, Renilda V. |
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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 |
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Animo Repository |
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1998 |
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https://animorepository.dlsu.edu.ph/etd_masteral/1959 |
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