Taut distance-regular graphs and the subconstituent algebra
| dc.creator | MacLean, Mark S. | |
| dc.creator | Terwilliger, Paul | |
| dc.date | 2005-08-21 | |
| dc.date.accessioned | 2026-07-07T05:22:33Z | |
| dc.date.available | 2026-07-07T05:22:33Z | |
| dc.description | We consider a bipartite distance-regular graph $G$ with diameter $D$ at least 4 and valency $k$ at least 3. We obtain upper and lower bounds for the local eigenvalues of $G$ in terms of the intersection numbers of $G$ and the eigenvalues of $G$. Fix a vertex of $G$ and let $T$ denote the corresponding subconstituent algebra. We give a detailed description of those thin irreducible $T$-modules that have endpoint 2 and dimension $D-3$. In an earlier paper the first author defined what it means for $G$ to be taut. We obtain three characterizations of the taut condition, each of which involves the local eigenvalues or the thin irreducible $T$-modules mentioned above. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508399 | |
| dc.identifier | http://arxiv.org/abs/math/0508399 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76104 | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.subject | 05E30 | |
| dc.title | Taut distance-regular graphs and the subconstituent algebra | |
| dc.type | text |