%0 Journal Article %1 lee14 %A Lee, Guang-Siang %A wen Weng, Chih %D 2014 %J Linear Algebra and its Applications %K bipartite distance-regular eigenvalues graph.theory %P 91 -- 103 %R 10.1016/j.laa.2013.12.024 %T A Characterization of Bipartite Distance-Regular Graphs %V 446 %X Abstract It is well-known that the halved graphs of a bipartite distance-regular graph are distance-regular. Examples are given to show that the converse does not hold. Thus, a natural question is to find out when the converse is true. In this paper we give a quasi-spectral characterization of a connected bipartite weighted 2-punctually distance-regular graph whose halved graphs are distance-regular. In the case the spectral diameter is even we show that the graph characterized above is distance-regular.

@article{lee14, abstract = {Abstract It is well-known that the halved graphs of a bipartite distance-regular graph are distance-regular. Examples are given to show that the converse does not hold. Thus, a natural question is to find out when the converse is true. In this paper we give a quasi-spectral characterization of a connected bipartite weighted 2-punctually distance-regular graph whose halved graphs are distance-regular. In the case the spectral diameter is even we show that the graph characterized above is distance-regular. }, added-at = {2015-08-12T10:53:38.000+0200}, author = {Lee, Guang-Siang and wen Weng, Chih}, biburl = {https://www.bibsonomy.org/bibtex/2f6043700842dbb747db10e4804a10ac2/ytyoun}, doi = {10.1016/j.laa.2013.12.024}, interhash = {8f4e92a0358fb4b561f26e0ed68146e3}, intrahash = {f6043700842dbb747db10e4804a10ac2}, issn = {0024-3795}, journal = {Linear Algebra and its Applications }, keywords = {bipartite distance-regular eigenvalues graph.theory}, pages = {91 -- 103}, timestamp = {2017-11-22T02:23:54.000+0100}, title = {A Characterization of Bipartite Distance-Regular Graphs }, volume = 446, year = 2014 }