2-Homogeneous bipartite distance-regular graphs

Discrete Mathematics

Volumn 187, Issue 1-3, 1998, Pages 39-70

  Curtin, Brian ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002031384     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(97)00226-4     Document Type: Article

References (20)

1. E. Bannai, T. Ito, Algebraic Combinatorics I: Association Schemes, The Benjamin/Cummings Publishing Company, Inc., Menlo Park, 1984.
2. A.E. Brouwer, A.M. Cohen, A. Neumaier, Distance-Regular Graphs, Springer, New York, 1989.
3. S. Caughman, IV, Intersection numbers of bipartite distance-regular graphs, Discrete Math. 163 (1997) 235-241.
4. S. Caughman, IV, Spectra of bipartite P- and Q-polynomial association schemes, Graphs Combin., to appear.
5. B. Curtin, Bipartite distance-regular graphs, Part I, Graphs Combin., to appear.
6. B. Curtin, Bipartite distance-regular graphs, Part II, Graphs Combin., to appear.
7. G.A. Dickie, Almost dual imprimitive distance-regular graphs, European J. Combin., to appear.
8. G.A. Dickie, A note on Q-polynomial association schemes, J. Algebraic Combin., to appear.
9. G.A. Dickie, P.M. Terwilliger, Dual bipartite Q-polynomial distance-regular graphs, European J. Combin. 17 (1996) 613-624.
10. C.D. Godsil, Algebraic Combinatorics, Chapman & Hall, New York, 1993.
11. K. Nomura, Homogeneous graphs and regular near polygons, J. Combin. Theory Ser. B 60 (1994) 63-71.
12. K. Nomura, Spin models on bipartite distance-regular graphs, J. Combin. Theory Ser. B 64 (2) (1994) 300-313.
13. K. Nomura, Spin models on triangle-free connected graphs, J. Combin. Theory Ser. B 67 (1996) 284-295.
14. K. Nomura, Spin models and almost bipartite 2-homogeneous graphs, Adv. Stud. Pure Math. 24 (1996) 285-308.
15. P. Terwilliger, Balanced sets and Q-polynomial association schemes, Graphs Combin. 4 (1988) 87-94.
16. P. Terwilliger, The subconstituent algebra of an association scheme, Part I, J. Algebraic Combin. 1 (4) (1992) 363-388.
17. P. Terwilliger, The subconstituent algebra of an association scheme, Part II, J. Algebraic Combin. 2 (1) (1993) 73-103.
18. P. Terwilliger, The subconstituent algebra of an association scheme, Part III, J. Algebraic Combin. 2 (2) (1993) 177-210.
19. P. Terwilliger, A new inequality for distance-regular graphs, Discrete Math. 137 (1995) 319-332.
20. N. Yamazaki, Bipartite distance-regular graphs with an eigenvalue of multiplicity k, J. Combin. Theory Ser. B 66 (1995) 34-37.