The Growth of Infinite Graphs: Boundedness and Finite Spreading
نویسندگان
چکیده
An infinite graph is called bounded if for every labelling of its vertices with natural numbers there exists a sequence of natural numbers which eventually exceeds the labelling along any ray in the graph. Thomassen has conjectured that a countable graph is bounded if and only if its edges can be oriented, possibly both ways, so that every vertex has finite out-degree and every ray has a forward oriented tail. We present a counterexample to this conjecture.
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عنوان ژورنال:
- Combinatorics, Probability & Computing
دوره 3 شماره
صفحات -
تاریخ انتشار 1994