Two-ended regular median graphs
نویسندگان
چکیده
We show that regular median graphs of linear growth are the Cartesian product of finite hypercubes with the two-way infinite path. Such graphs are Cayley graphs and have only two ends. For cubic median graphs G the condition of linear growth can be weakened to the condition that G has two ends. For higher degree the relaxation to twoended graphs is not possible, which we demonstrate by an example of a median graph of degree four that has two ends, but nonlinear growth.
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عنوان ژورنال:
- Discrete Mathematics
دوره 311 شماره
صفحات -
تاریخ انتشار 2011