• On the automorphism group of doubled Grassmann graphs

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      https://www.ias.ac.in/article/fulltext/pmsc/130/0064

    • Keywords

       

      Automorphism group; Grassmann graph; doubled Grassmann graph.

    • Abstract

       

      In this paper, we study a class of regular graphs, which is related to the Grassmann graph. This class of graphs is called the doubled Grassman graph. The Grassmann graph is the class of graphs, which is defined similar to the Johnson graph. This time, however, we are concerned with the subspaces of a vector space, rather than with the subsets of a set. The doubled Grassmann graph is constructed from the Grassmann graph. This graph, was discovered by Biggs and Gardiner. In this paper, we determine the full automorphism group of the doubled Grassmann graph. For determining the automorphism group of the doubled Grassmann graph, we will use the methods used by Mirafzal (Proc. Indian Acad. Sci. (Math Sci.) 129(3) (2019), Art. 34, 8).

    • Author Affiliations

       

      MEYSAM ZIAEE1

      1. Department of Mathematical, Faculty of Basic Sciences, Lorestan University, Khoram-Abad, Iran
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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