The characterization of graphs of alternating and quadratic forms as covers of locally Grassman graphs were considered without loops and multiple edges. The locally Grassman graph is a connected graph in which the neighborhood of any vertex is the Grassman graph on the set of all 2-subspaces of a finite-dimensional linear space over a finite field. The vertex a of a graph denotes the subgraph induced on the set of all vertices at distance i from a, and the subgraph is called the neighborhood of the vertex a, whereas the The triangular graph T (m) is defined as the graph whose vertex set is the set of unordered pairs from X. The study was supported by a theorem where the regular graph is connected with any of the available vertex to consider the alternating and quadric forms of the graphs in specification to locally Grassman graphs.
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