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- W4386942445 abstract "Praeger-Xu graphs are connected, symmetric, 4-regular graphs that are unusual both in that their automorphism groups are large, and in that vertex stabilizer subgroups are also large. Determining number and distinguishing number are parameters that measure the symmetry of a graph by investigating additional conditions that can be imposed on a graph to eliminate its nontrivial automorphisms. In this paper, we compute the values of these parameters for Praeger-Xu graphs. Most Praeger-Xu graphs are 2-distinguishable; for these graphs we also provide the cost of 2-distinguishing." @default.
- W4386942445 created "2023-09-22" @default.
- W4386942445 creator A5051332875 @default.
- W4386942445 creator A5092919162 @default.
- W4386942445 date "2023-09-20" @default.
- W4386942445 modified "2023-09-28" @default.
- W4386942445 title "Symmetry Parameters of Praeger-Xu Graphs" @default.
- W4386942445 doi "https://doi.org/10.48550/arxiv.2309.11474" @default.
- W4386942445 hasPublicationYear "2023" @default.
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