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The Ferry Cover Problem on Regular Graphs and Small-Degree Graphs

The Ferry Cover Problem on Regular Graphs and Small-Degree GraphsThe Ferry Cover Problem on Regular Graphs and Small-Degree Graphs
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摘要 The ferry problem may be viewed as generalizations of the classical wolf-goatcabbage puzzle. The ferry cover problem is to determine the minimum required boat capacity to safely transport n items represented by a conflict graph. The Alcuin number of a conflict graph is the smallest capacity of a boat for which the graph possesses a feasible ferry schedule. In this paper the authors determine the Alcuin number of regular graphs and graphs with maximum degree at most five.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2018年第6期933-946,共14页 数学年刊(B辑英文版)
基金 supported by the National Natural Science Foundation of China(Nos.11871329,11571222)
关键词 Graph Alcuin number Ferry problem Vertex cover Regular graph 子问题 渡船 时间表 能力 和图
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