%0 Journal Article %1 Yamazaki199634 %A Yamazaki, Norio %D 1996 %J Journal of Combinatorial Theory, Series B %K 2-homogeneous distance-regular eigenvalues %N 1 %P 34 - 37 %R 10.1006/jctb.1996.0004 %T Bipartite Distance-Regular Graphs with an Eigenvalue of Multiplicity $k$ %V 66 %X We show that, if a bipartite distance-regular graph of valency $k$ has an eigenvalue of multiplicity $k$, then it becomes 2-homogeneous. Combined with a result on bipartite 2-homogeneous distance-regular graphs by K. Nomura, we have a classification of such graphs.

@article{Yamazaki199634, abstract = {We show that, if a bipartite distance-regular graph of valency $k$ has an eigenvalue of multiplicity $k$, then it becomes 2-homogeneous. Combined with a result on bipartite 2-homogeneous distance-regular graphs by K. Nomura, we have a classification of such graphs. }, added-at = {2014-01-03T00:19:52.000+0100}, author = {Yamazaki, Norio}, biburl = {https://www.bibsonomy.org/bibtex/272f7db5e9b320cd5df6b54652f1320fb/ytyoun}, doi = {10.1006/jctb.1996.0004}, interhash = {0f35deaf0b648f5f96d6a272f094fdb5}, intrahash = {72f7db5e9b320cd5df6b54652f1320fb}, issn = {0095-8956}, journal = {Journal of Combinatorial Theory, Series B }, keywords = {2-homogeneous distance-regular eigenvalues}, number = 1, pages = {34 - 37}, timestamp = {2017-11-22T02:21:39.000+0100}, title = {Bipartite Distance-Regular Graphs with an Eigenvalue of Multiplicity $k$ }, volume = 66, year = 1996 }