Embedding complete ternary trees into hypercubes
نویسندگان
چکیده
We inductively describe an embedding of a complete ternary tree Th of height h into a hypercube Q of dimension at most d(1.6)he + 1 with load 1, dilation 2, node congestion 2 and edge congestion 2. This is an improvement over the known embedding of Th into Q. And it is very close to a conjectured embedding of Havel [3] which states that there exists an embedding of Th into its optimal hypercube with load 1 and dilation 2. The optimal hypercube has dimension d(log2 3)he (= d(1.585)he) or d(log2 3)he + 1.
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ورودعنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 28 شماره
صفحات -
تاریخ انتشار 2008