On distance regular graphs with b1=cd-1
Let be a Distance Regular Graph with diameter d and valency k. This paper proves the following result:Supposeb1 = cd-ab2 = cd-2bi = cd-ifor some i 1. Then the following hold:1. bd-1=c1' bd-2 = c2' ... , bd-i=ci 2. If a = ad = 0 , then k = a (a + 1) b1= ... = b12= a and 1 = c1 = ... ci = ci...
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1994
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oai:animorepository.dlsu.edu.ph:etd_bachelors-166782022-02-02T03:19:46Z On distance regular graphs with b1=cd-1 Cadorniga, Esteinitz G. Monteverde, Marlon F. Let be a Distance Regular Graph with diameter d and valency k. This paper proves the following result:Supposeb1 = cd-ab2 = cd-2bi = cd-ifor some i 1. Then the following hold:1. bd-1=c1' bd-2 = c2' ... , bd-i=ci 2. If a = ad = 0 , then k = a (a + 1) b1= ... = b12= a and 1 = c1 = ... ci = ci+1Moreover, ifb1 = cj with j d, then bj 1994-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16165 Bachelor's Theses English Animo Repository Graph theory Analytic functions Function algebras |
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De La Salle University |
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Philippines Philippines |
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English |
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Graph theory Analytic functions Function algebras |
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Graph theory Analytic functions Function algebras Cadorniga, Esteinitz G. Monteverde, Marlon F. On distance regular graphs with b1=cd-1 |
| description |
Let be a Distance Regular Graph with diameter d and valency k. This paper proves the following result:Supposeb1 = cd-ab2 = cd-2bi = cd-ifor some i 1. Then the following hold:1. bd-1=c1' bd-2 = c2' ... , bd-i=ci 2. If a = ad = 0 , then k = a (a + 1) b1= ... = b12= a and 1 = c1 = ... ci = ci+1Moreover, ifb1 = cj with j d, then bj |
| format |
text |
| author |
Cadorniga, Esteinitz G. Monteverde, Marlon F. |
| author_facet |
Cadorniga, Esteinitz G. Monteverde, Marlon F. |
| author_sort |
Cadorniga, Esteinitz G. |
| title |
On distance regular graphs with b1=cd-1 |
| title_short |
On distance regular graphs with b1=cd-1 |
| title_full |
On distance regular graphs with b1=cd-1 |
| title_fullStr |
On distance regular graphs with b1=cd-1 |
| title_full_unstemmed |
On distance regular graphs with b1=cd-1 |
| title_sort |
on distance regular graphs with b1=cd-1 |
| publisher |
Animo Repository |
| publishDate |
1994 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/16165 |
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1772834905741328384 |