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Symmetry 2017, 9(3), 46; doi:10.3390/sym9030046

Symmetry in Domination for Hypergraphs with Choice

Department of Mathematics and Statistics, Wake Forest University, Winston-Salem, NC 27106, USA
Author to whom correspondence should be addressed.
Received: 7 January 2017 / Revised: 11 March 2017 / Accepted: 14 March 2017 / Published: 22 March 2017
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In this paper, we introduce the concept of (pair-wise) domination graphs for hypergraphs endowed with a choice function on edges. We are interested, for instance, in minimal numbers of edges for associated domination graphs. Theorems regarding the existence of balanced (zero-edge) domination graphs are presented. Several open questions are posed.
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Keywords: hypergraph; choice; symmetry; hypertournament; domination hypergraph; choice; symmetry; hypertournament; domination

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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S. Berenhaut, K.; P. Lidral-Porter, B.; H. Schoen, T.; P. Webb, K. Symmetry in Domination for Hypergraphs with Choice
. Symmetry 2017, 9, 46.

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