Distance-regular graphs with diameter 3 and eigenvalue a2 − c3

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Distance-regular graphs with diameter 3 and eigenvalue a2 − c3

Iqbal, Quaid; Koolen, Jack H.; Park, Jongyook; Rehman, Masood Ur

Linear algebra and its applications, 02/2020, Volume: 587

Journal Article

In this paper, we consider the distance-regular graphs Γ whose distance-2 graphs Γ2 are strongly regular. Note that if Γ is bipartite, then its distance-2 graph is not connected. We first show that the distance-2 graph of a non-bipartite distance-regular graph with diameter 3 and eigenvalue a2−c3 is strongly regular, and then we give several kinds of classifications of non-bipartite distance-regular graphs with diameter 3 and eigenvalue a2−c3.

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Iqbal, Quaid | Koolen, Jack H. | Park, Jongyook | Rehman, Masood Ur

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