A Deza graph G with parameters (n,k,b,a) is a k-regular graph with n vertices such that any two distinct vertices have b or a common neighbours, where b >= a. The children G_A and G_B of a Deza graph G are defined on the vertex set of G such that every two distinct vertices are adjacent in G_A or G_B if and only if they have a or b common neighbours, respectively. In this paper we present a general approach to dual Seidel switching and investigate Deza graphs whose children are strongly regular graphs.

中文翻译：

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具有强正则子节点的广义双 Seidel 切换和 Deza 图

具有参数 (n,k,b,a) 的 Deza 图 G 是具有 n 个顶点的 k-正则图，使得任何两个不同的顶点都有 b 或一个共同的邻居，其中 b >= a。Deza 图 G 的孩子 G_A 和 G_B 在 G 的顶点集上定义，使得每两个不同的顶点在 G_A 或 G_B 中相邻，当且仅当它们分别具有 a 或 b 个公共邻居。在本文中，我们提出了双重赛德尔切换的一般方法，并研究了其子项是强正则图的 Deza 图。