On the path separation number of graphs
نویسندگان
چکیده
A path separator of a graph G is a set of paths P = {P1, . . . , Pt} such that for every pair of edges e, f ∈ E(G), there exist paths Pe, Pf ∈ P such that e ∈ E(Pe), f 6∈ E(Pe), e 6∈ E(Pf ) and f ∈ E(Pf ). The path separation number of G, denoted psn(G), is the smallest number of paths in a path separator. We shall estimate the path separation number of several graph families, including complete graphs, random graph, the hypercube, and discuss general graphs as well.
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 213 شماره
صفحات -
تاریخ انتشار 2016