Domination Numbers of Q-analogues of Kneser Graphs

نویسندگان

  • W. Edwin Clark
  • Boris Shekhtman
چکیده

We investigate the domination number and total domination number of the graph K q (n; k) whose vertices are all the k-subspaces of an n-dimensional vector space over a eld with q elements and whose edges are the pairs fU; Wg of vertices such that U \ W = f0g. Bounds are obtained in general and exact results are obtained for n k 2 +k?1 and in other cases when q is suuciently large relative to n and k. We also consider analogous bipartite graphs.

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تاریخ انتشار 1995