On distance-regular graphs with Be=1
This thesis is an exposition of the paper of Hiroshi Suzuki entitled On Distance-Regular Graphs with be = 1 . Let a graph (T) be a DRG with valency k, diameter d and height h and let e be the smallest integer such that be = 1. The following is shown:(1) Assume d = 2e and K 2 and suppose kd is not eq...
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oai:animorepository.dlsu.edu.ph:etd_masteral-85902022-05-26T07:16:35Z On distance-regular graphs with Be=1 Ramos, Juanita Agbada This thesis is an exposition of the paper of Hiroshi Suzuki entitled On Distance-Regular Graphs with be = 1 . Let a graph (T) be a DRG with valency k, diameter d and height h and let e be the smallest integer such that be = 1. The following is shown:(1) Assume d = 2e and K 2 and suppose kd is not equal to 1. Then e is greater than of equal to 5.(2) Suppose d is greater than or equal to 2e + 1, k is greater than 2, and kd is not equal to 1. Then the following hold:(a) b1 = cd-1 for i = 1,2,3,...,d-2e(b) a1 = ad-1 = ad = 0(c) h is greater than or equal to 2d - 4e + 3(d) d is less than or equal to max & 2e, (5/2)e - 4 1996-01-01T08:00:00Z text application/pdf https://animorepository.dlsu.edu.ph/etd_masteral/1752 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/8590/viewcontent/TG02540_F_Partial.pdf Master's Theses English Animo Repository Graph theory Analytic functions Function algebras Mathematics |
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Graph theory Analytic functions Function algebras Mathematics |
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Graph theory Analytic functions Function algebras Mathematics Ramos, Juanita Agbada On distance-regular graphs with Be=1 |
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This thesis is an exposition of the paper of Hiroshi Suzuki entitled On Distance-Regular Graphs with be = 1 . Let a graph (T) be a DRG with valency k, diameter d and height h and let e be the smallest integer such that be = 1. The following is shown:(1) Assume d = 2e and K 2 and suppose kd is not equal to 1. Then e is greater than of equal to 5.(2) Suppose d is greater than or equal to 2e + 1, k is greater than 2, and kd is not equal to 1. Then the following hold:(a) b1 = cd-1 for i = 1,2,3,...,d-2e(b) a1 = ad-1 = ad = 0(c) h is greater than or equal to 2d - 4e + 3(d) d is less than or equal to max & 2e, (5/2)e - 4 |
| format |
text |
| author |
Ramos, Juanita Agbada |
| author_facet |
Ramos, Juanita Agbada |
| author_sort |
Ramos, Juanita Agbada |
| title |
On distance-regular graphs with Be=1 |
| title_short |
On distance-regular graphs with Be=1 |
| title_full |
On distance-regular graphs with Be=1 |
| title_fullStr |
On distance-regular graphs with Be=1 |
| title_full_unstemmed |
On distance-regular graphs with Be=1 |
| title_sort |
on distance-regular graphs with be=1 |
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Animo Repository |
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1996 |
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https://animorepository.dlsu.edu.ph/etd_masteral/1752 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/8590/viewcontent/TG02540_F_Partial.pdf |
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