On distance regular graphs with bt=1 and antipodal double covers
This thesis is an exposition of the paper entitled Distance Regular Graphs with bt=1 and Antipodal Double Covers written by Makoto Araya, Akira Hiraki, and Aleksandar Jurisik, which was published in the Journal of Combinatorial Theory Series B, Vol. 67, July 1996, pp. 278-283. Let T be a Distance Re...
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oai:animorepository.dlsu.edu.ph:etd_masteral-94432022-05-27T02:39:45Z On distance regular graphs with bt=1 and antipodal double covers Solano, Miguelito M. This thesis is an exposition of the paper entitled Distance Regular Graphs with bt=1 and Antipodal Double Covers written by Makoto Araya, Akira Hiraki, and Aleksandar Jurisik, which was published in the Journal of Combinatorial Theory Series B, Vol. 67, July 1996, pp. 278-283. Let T be a Distance Regular Graph with diameter d and valency k >2. It is shown that if bt=1 and 2t < d then T is an antipodal double cover. Consequently, if f > 2 is the multiplicity of an eigenvalue of the adjacency matix of T and T is not an antipodal double cover, then d < or equal to 2f-3. 2000-12-01T08:00:00Z text application/pdf https://animorepository.dlsu.edu.ph/etd_masteral/2605 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/9443/viewcontent/TG03200_F_Partial.pdf Master's Theses English Animo Repository Graph theory Representations of graphs Combinatorial analysis Topology Mathematics |
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Graph theory Representations of graphs Combinatorial analysis Topology Mathematics |
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Graph theory Representations of graphs Combinatorial analysis Topology Mathematics Solano, Miguelito M. On distance regular graphs with bt=1 and antipodal double covers |
| description |
This thesis is an exposition of the paper entitled Distance Regular Graphs with bt=1 and Antipodal Double Covers written by Makoto Araya, Akira Hiraki, and Aleksandar Jurisik, which was published in the Journal of Combinatorial Theory Series B, Vol. 67, July 1996, pp. 278-283. Let T be a Distance Regular Graph with diameter d and valency k >2. It is shown that if bt=1 and 2t < d then T is an antipodal double cover. Consequently, if f > 2 is the multiplicity of an eigenvalue of the adjacency matix of T and T is not an antipodal double cover, then d < or equal to 2f-3. |
| format |
text |
| author |
Solano, Miguelito M. |
| author_facet |
Solano, Miguelito M. |
| author_sort |
Solano, Miguelito M. |
| title |
On distance regular graphs with bt=1 and antipodal double covers |
| title_short |
On distance regular graphs with bt=1 and antipodal double covers |
| title_full |
On distance regular graphs with bt=1 and antipodal double covers |
| title_fullStr |
On distance regular graphs with bt=1 and antipodal double covers |
| title_full_unstemmed |
On distance regular graphs with bt=1 and antipodal double covers |
| title_sort |
on distance regular graphs with bt=1 and antipodal double covers |
| publisher |
Animo Repository |
| publishDate |
2000 |
| url |
https://animorepository.dlsu.edu.ph/etd_masteral/2605 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/9443/viewcontent/TG03200_F_Partial.pdf |
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