Decompositions of complete multipartite graphs via generalized graceful labelings
نویسندگان
چکیده
We prove the existence of infinite classes of cyclic Γ-decompositions of the complete multipartite graph, Γ being a caterpillar, a hairy cycle or a cycle. All results are obtained by the construction of d-divisible α-labelings of Γ, introduced in [A. Pasotti, On d-graceful labelings, Ars Combin. 111 (2013), 207–223] as a generalization of classical α-labelings. It is known that such labelings imply the existence of cyclic Γ-decompositions of certain complete multipartite graphs.
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عنوان ژورنال:
- Australasian J. Combinatorics
دوره 59 شماره
صفحات -
تاریخ انتشار 2014