2-Walk-Regular Dihedrants from Group-Divisible Designs

[摘要] In this note, we construct bipartite $2$-walk-regular graphs with exactly 6 distinct eigenvalues as the point-block incidence graphs of group divisible designs with the dual property. For many of them, we show that they are 2-arc-transitive dihedrants. We

[学科分类] 离散数学和组合数学

[关键词] 2-walk-regular graphs;Distance-regular graphs;Association schemes;Group divisible designs with the dual property;Relative cyclic difference sets;2-arc-transitive dihedrants