Geometric automorphism groups of graphs
نویسندگان
چکیده
Constructing symmetric drawings of graphs is NP-hard. In this paper, we present a new method for drawing graphs symmetrically based on group theory. More formally, we define an n-geometric automorphism group as a subgroup of the automorphism group of a graph that can be displayed as symmetries of a drawing of the graph in n dimensions. Then we present an algorithm to find all 2and 3-geometric automorphism groups of a given graph. We implement the algorithm using Magma [29] and the experimental results show that our approach is very efficient in practice. We also present a drawing algorithm to display 2and 3-geometric automorphism groups.
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 155 شماره
صفحات -
تاریخ انتشار 2007