Distance-regular Cayley graphs with least eigenvalue-2

作者：Abdollahi Alireza; van Dam Edwin R^*; Jazaeri Mojtaba

来源：Designs, Codes and Cryptography, 2017, 84(1-2): 73-85.

DOI：10.1007/s10623-016-0209-4

• Cayley graph
• Strongly regular graph
• Distance-regular graph
• Line graph
• Generalized polygon
• Eigenvalues

We classify the distance-regular Cayley graphs with least eigenvalue -2 and diameter at most three. Besides sporadic examples, these comprise of the lattice graphs, certain triangular graphs, and line graphs of incidence graphs of certain projective planes. In addition, we classify the possible connection sets for the lattice graphs and obtain some results on the structure of distance-regular Cayley line graphs of incidence graphs of generalized polygons.

• 出版日期2017-7