Edge separators for quasi-binary trees
نویسندگان
چکیده
One wishes to remove k − 1 edges of a vertex-weighted tree T such that the weights of the k induced connected components are approximately the same. How well can one do it ? In this paper, we investigate such k-separator for quasi-binary trees. We show that, under certain conditions on the total weight of the tree, a particular k-separator can be constructed such that the smallest (respectively the largest) weighted component is lower (respectively upper) bounded. Examples showing optimality for the lower bound are also given.
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عنوان ژورنال:
- Discrete Applied Mathematics
دوره 210 شماره
صفحات -
تاریخ انتشار 2016