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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| Format: | text |
| Language: | English |
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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 |
| Summary: | 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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