Optimal Data Structures for Farthest-Point Queries in Cactus Networks
نویسندگان
چکیده
Consider the continuum of points on the edges of a network, i.e., a connected, undirected graph with positive edge weights. We measure the distance between these points in terms of the weighted shortest path distance, called the network distance. Within this metric space, we study farthest points and farthest distances. We introduce optimal data structures supporting queries for the farthest distance and the farthest points on trees, cycles, uni-cyclic networks, and cactus networks.
منابع مشابه
Optimal Data Structures for Farthest-Point
6 Consider the continuum of points on the edges of a network, i.e., a connected, undirected graph 7 with positive edge weights. We measure the distance between these points in terms of the weighted 8 shortest path distance, called the network distance. Within this metric space, we study farthest points 9 and farthest distances. We introduce optimal data structures supporting queries for the far...
متن کاملOn Farthest-Point Information in Networks
Consider the continuum of points along the edges of a network, an embedded undirected graph with positive edge weights. Distance between these points can be measured as shortest path distance along the edges of the network. We introduce two new concepts to capture farthest-point information in this metric space. The first, eccentricity diagrams, are used to encode the distance towards farthest ...
متن کاملEfficient Farthest-Point Queries in Two-terminal Series-parallel Networks
Consider the continuum of points along the edges of a network, i.e., a connected, undirected graph with positive edge weights. We measure the distance between these points in terms of the weighted shortest path distance, called the network distance. Within this metric space, we study farthest points and farthest distances. We introduce a data structure supporting queries for the farthest distan...
متن کاملFarthest-Point Queries with Geometric and Combinatorial Constraints
In this paper we discuss farthest-point problems in which a set or sequence S of n points in the plane is given in advance and can be preprocessed to answer various queries efficiently. First, we give a data structure that can be used to compute the point farthest from a query line segment in O(log2 n) time. Our data structure needs O(n logn) space and preprocessing time. To the best of our kno...
متن کاملبهبود الگوریتم انتخاب دید در پایگاه داده تحلیلی با استفاده از یافتن پرس وجوهای پرتکرار
A data warehouse is a source for storing historical data to support decision making. Usually analytic queries take much time. To solve response time problem it should be materialized some views to answer all queries in minimum response time. There are many solutions for view selection problems. The most appropriate solution for view selection is materializing frequent queries. Previously posed ...
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:
- J. Graph Algorithms Appl.
دوره 19 شماره
صفحات -
تاریخ انتشار 2013