• Corpus ID: 40269119

A Characterization of Connected (1,2)-Domination Graphs of Tournaments

  title={A Characterization of Connected (1,2)-Domination Graphs of Tournaments},
  author={Kim A. S. Factor and Larry J. Langley},
  journal={AKCE International Journal of Graphs and Combinatorics},
Recently, Hedetniemi et al. introduced (1, 2)-domination in graphs, and the authors extended that concept to (1, 2)-domination graphs of digraphs. Given vertices x and y in a digraph D, x and y form a (1, 2)-dominating pair if and only if for every other vertex z in D, z is one step away from x or y and at most two steps away from the other. The (1, 2)-dominating graph of D, dom1,2 (D) , is defined to be the graph G = (V, E) , where V (G) = V (D) , and xy is an edge of G whenever x and y form a… 

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