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...
Saved in:
| Main Author: | |
|---|---|
| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2000
|
| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_masteral/2605 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/9443/viewcontent/TG03200_F_Partial.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | De La Salle University |
| Language: | English |
| Summary: | 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. |
|---|