The obnoxious center problem on weighted cactus graphs (Extended Abstract)
نویسندگان
چکیده
منابع مشابه
Efficient algorithms for center problems in cactus networks
Efficient algorithms for solving the center problems in weighted cactus networks are presented. In particular, we have proposed the following algorithms for the weighted cactus networks of size n: an O(n log n) time algorithm to solve the 1center problem, an O(n log 3n) time algorithm to solve the weighted continuous 2-center problem. We have also provided improved solutions to the general p-ce...
متن کاملEfficient Algorithms for the Weighted 2-Center Problem in a Cactus Graph
In this paper, we provide efficient algorithms for solving the weighted center problems in a cactus graph. In particular, an O(n log n) time algorithm is proposed that finds the weighted 1-center in a cactus graph, where n is the number of vertices in the graph. For the weighted 2-center problem, an O(n log n) time algorithm is devised for its continuous version and showed that its discrete ver...
متن کاملThe Obnoxious Center Problem on a Tree
The obnoxious center problem in a graph G asks for a location on an edge of the graph such that the minimum weighted distance from this point to a vertex of the graph is as large as possible. We derive algorithms with linear running time for the cases when G is a path or a star, thus improving previous results of Tamir. For subdivided stars we present an algorithm of running time O(n log n). Fo...
متن کاملUnweighted p-center problem on extended stars
An extended star is a tree which has only one vertex with degree larger than two. The -center problem in a graph asks to find a subset of the vertices of of cardinality such that the maximum weighted distances from to all vertices is minimized. In this paper we consider the -center problem on the unweighted extended stars, and present some properties to find solution.
متن کاملAn efficient algorithm for finding the semi-obnoxious $(k,l)$-core of a tree
In this paper we study finding the $(k,l)$-core problem on a tree which the vertices have positive or negative weights. Let $T=(V,E)$ be a tree. The $(k,l)$-core of $T$ is a subtree with at most $k$ leaves and with a diameter of at most $l$ which the sum of the weighted distances from all vertices to this subtree is minimized. We show that, when the sum of the weights of vertices is negative, t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Electronic Notes in Discrete Mathematics
دوره 8 شماره
صفحات -
تاریخ انتشار 2001