An Iterative Approach to the Traceability Conjecture for Oriented Graphs
نویسندگان
چکیده
A digraph is k-traceable if its order is at least k and each of its subdigraphs of order k is traceable. The Traceability Conjecture (TC) states that for k > 2 every k-traceable oriented graph of order at least 2k − 1 is traceable. It has been shown that for 2 6 k 6 6, every k-traceable oriented graph is traceable. We develop an iterative procedure to extend previous results regarding the TC. In particular, we prove that every 7-traceable oriented graph of order at least 9 is traceable and every 8-traceable graph of order at least 14 is traceable.
منابع مشابه
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عنوان ژورنال:
- Electr. J. Comb.
دوره 20 شماره
صفحات -
تاریخ انتشار 2013