Tight distance-regular graphs
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Publication:1592961
DOI10.1023/A:1026544111089zbMath0959.05121arXivmath/0108196OpenAlexW1951873840MaRDI QIDQ1592961
Aleksandar Jurišić, Jack H. Koolen, Paul M. Terwilliger
Publication date: 20 April 2001
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0108196
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Balanced sets and Q-polynomial association schemes
- Strongly regular graphs having strongly regular subconstituents
- Some polar towers
- Homogeneous graphs and regular near polygons
- Three new distance-regular graphs
- A new inequality for distance-regular graphs
- Problems in algebraic combinatorics
- Krein parameters and antipodal tight graphs with diameter 3 and 4
- 2-homogeneous bipartite distance-regular graphs
- Dual bipartite Q-polynomial distance-regular graphs
- Spin models on bipartite distance-regular graphs
- Regular 2-Graphs
- Locally petersen graphs
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