The flower conjecture in special classes of graphs
نویسندگان
چکیده
We say that a spanning eulerian subgraph F ⊂ G is a flower in a graph G if there is a vertex u ∈ V (G) (called the center of F ) such that all vertices of G except u are of the degree exactly 2 in F. A graph G has the flower property if every vertex of G is a center of a flower. Kaneko conjectured that G has the flower property if and only if G is hamiltonian. In the present paper we prove this conjecture in several special classes of graphs, among others in squares and in a certain subclass of claw-free graphs.
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ورودعنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 15 شماره
صفحات -
تاریخ انتشار 1995