On the cyclic decomposition of circulant graphs into bipartite graphs
نویسندگان
چکیده
It is known that if a bipartite graph G with n edges possesses any of three types of ordered labelings, then the complete graphK2nx+1 admits a cyclic G-decomposition for every positive integer x. We introduce variations of the ordered labelings and show that whenever a bipartite graph G admits one of these labelings, then there exists a cyclic G-decomposition of an infinite family of circulant graphs. We also show that all 2-regular bipartite graphs admit one of these variant labelings.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 56 شماره
صفحات -
تاریخ انتشار 2013