Nuclei for totally point determining graphs |
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| Authors: | Dennis P Geoffroy |
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| Institution: | University of South Carolina, Sumter, SC 29150, U.S.A. |
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| Abstract: | The nucleus (edge nucleus) of a point determining graph is defined by Geoffroy and Sumner to be the set of all points (edges) whose removal leaves the graph point determining. It is the purpose of this paper to develop the analogous concepts for totally point determining graphs, that is, graphs in which distinct points have distinct neighborhoods and closed neighborhoods. |
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