Neighborhood unions and cyclability of graphs
نویسندگان
چکیده
A graph G is said to be cyclable if for each orientation → G of G, there exists a set S of vertices such that reversing all the arcs of → G with one end in S results in a hamiltonian digraph. Let G be a 3-connected graph of order n¿ 36. In this paper, we show that if for any three independent vertices x1, x2 and x3, |N (x1) ∪ N (x2)|+ |N (x2) ∪ N (x3)|+ |N (x3) ∪ N (x1)|¿ 2n+ 1, then G is cyclable. ? 2003 Elsevier B.V. All rights reserved.
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عنوان ژورنال:
- Discrete Applied Mathematics
دوره 140 شماره
صفحات -
تاریخ انتشار 2004