Embedding rectilinear Steiner trees with length restrictions

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Two-level rectilinear Steiner trees

Given a set P of terminals in the plane and a partition of P into k subsets P1, . . . , Pk, a two-level rectilinear Steiner tree consists of a rectilinear Steiner tree Ti connecting the terminals in each set Pi (i = 1, . . . , k) and a top-level tree Ttop connecting the trees T1, . . . , Tk. The goal is to minimize the total length of all trees. This problem arises naturally in the design of lo...

متن کامل

The Rectilinear Steiner Tree Problem with Given Topology and Length Restrictions

We consider the problem of embedding the Steiner points of a Steiner tree with given topology into the rectilinear plane. Thereby, the length of the path between a distinguished terminal and each other terminal must not exceed given length restrictions. We want to minimize the total length of the tree. The problem can be formulated as a linear program and therefore it is solvable in polynomial ...

متن کامل

The Steiner Ratio for Obstacle-Avoiding Rectilinear Steiner Trees

We consider the problem of finding a shortest rectilinear Steiner tree for a given set of points in the plane in the presence of rectilinear obstacles that must be avoided. We extend the Steiner ratio to the obstacle-avoiding case and show that it is equal to the Steiner ratio for the obstacle-free case.

متن کامل

Optimal Rectilinear Steiner Minimal Trees in O (n22.62n) Time

This paper presents an algorithm that computes an optimal rectilinear Steiner minimal tree of n points in at most O(n 2 2:62 n) time. For instances small enough to solve in practice, this time bound is provably faster than any previous algorithm, and improves the previous best bound for practically solvable instances, which is O(n3 n). Experimental evidence is also presented that demonstrates t...

متن کامل

Approaching the 5/4-Approximation for Rectilinear Steiner Trees

The rectilinear Steiner tree problem requires a shortest tree spanning a given vertex subset in the plane with rectilinear distance. It was proved that the output length of Zelikovsky's 25] and Berman/Ramaiyer 3] heuristics is at most 1.375 and 97 72 1:347 of the optimal length, respectively. It was claimed that these bounds are not tight. Here we improve these bounds to 1.3125 and 61 48 1:271,...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2016

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2016.06.018