A Linear-Time Algorithm for Finding a Central Vertex of a Chordal Graph
A Linear-Time Algorithm for Finding a Central Vertex of a Chordal Graph
复制标题
寻找弦图中心顶点的线性时间算法
DOI:
10.1007/bfb0049406
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发表时间:
1994
期刊:
影响因子:
--
通讯作者:
F. Dragan
中科院分区:
文献类型:
--
作者:
V. Chepoi;F. Dragan
In a graph G=(V, E), the eccentricity e(v) of a vertex v is max{d(v, u)∶u ∈ V}. The center of a graph is the set of vertices with minimum eccentricity. A graph G is chordal if every cycle of length at least four has a chord. We present an algorithm which computes in linear time a central vertex of a chordal graph. The algorithm uses the metric properties of chordal graphs and Tarjan and Yannakakis linear-time test for graph chordality.