A path(ological) partition problem
نویسندگان
چکیده
Let τ(G) denote the number of vertices in a longest path of the graph G and let k1 and k2 be positive integers such that τ(G) = k1+k2. The question at hand is whether the vertex set V (G) can be partitioned into two subsets V1 and V2 such that τ(G[V1]) ≤ k1 and τ(G[V2]) ≤ k2. We show that several classes of graphs have this partition property.
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ورودعنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 18 شماره
صفحات -
تاریخ انتشار 1998