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Edge-distance-regular graphs
2011
Journal of combinatorial theory. Series A
Edge-distance-regularity is a concept recently introduced by the authors which is similar to that of distance-regularity, but now the graph is seen from each of its edges instead of from its vertices. More precisely, a graph Γ with adjacency matrix A is edge-distance-regular when it is distance-regular around each of its edges and with the same intersection numbers for any edge taken as a root. In this paper we study this concept, give some of its properties, such as the regularity of Γ , and
doi:10.1016/j.jcta.2011.04.011
fatcat:6eehydtpwndw7g54w4eeryh36q