The Growth of Limits of Vertex Replacement Rules
نویسندگان
چکیده
In this paper, we give necessary and sufficient conditions that determine when a vertex replacement rule given by exactly one replacement graph generates an infinite graph with exponential growth and when it generates an infinite graph with polynomial growth. We also compute the formula for the growth degree of infinite graphs with polynomial growth that are generated by vertex replacement rules given by exactly one replacement graph.
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عنوان ژورنال:
- Journal of Graph Theory
دوره 73 شماره
صفحات -
تاریخ انتشار 2013