Hamilton cycle decompositions of k-uniform k-partite hypergraphs
نویسندگان
چکیده
Let m ≥ 2 and k ≥ 2 be integers. We show that K k×m has a decomposition into Hamilton cycles of Kierstead-Katona type if k | m. We also show that K (3) 3×m − T has a decomposition into Hamilton cycles where T is a 1-factor if and only if 3 m and m = 4. We introduce a notion of symmetry and comment on the existence of symmetric Hamilton cycle decompositions of K (k) k×m.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 56 شماره
صفحات -
تاریخ انتشار 2013