The k-path vertex cover of rooted product graphs
نویسنده
چکیده
A subset S of vertices of a graph G is called a k-path vertex cover if every path of order k in G contains at least one vertex from S. Denote by ψk(G) the minimum cardinality of a k-path vertex cover in G. In this article a lower and an upper bound for ψk of the rooted product graphs are presented. Two characterizations are given when those bounds are attained. Moreover ψ2 and ψ3 are exactly determined. As a consequence the independence and the dissociation number of the rooted product are given.
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 187 شماره
صفحات -
تاریخ انتشار 2015