On the cyclic decomposition of circulant graphs into almost-bipartite graphs

نویسندگان

  • Saad El-Zanati
  • Kyle King
  • Jeff Mudrock
چکیده

It is known that if an almost bipartite graph G with n edges possesses a γlabeling, then the complete graphK2nx+1 admits a cyclicG-decomposition. We introduce a variation of γ-labeling and show that whenever an almost bipartite graph G admits such a labeling, then there exists a cyclic Gdecomposition of a family of circulant graphs. We also determine which odd length cycles admit the variant labeling.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2011