Node-to-Set Disjoint Paths Problem in Rotator Graphs

نویسندگان

  • Keiichi Kaneko
  • Yasuto Suzuki
چکیده

In this paper, we give an algorithm for the nodeto-set disjoint paths problem in rotator graphs with its evaluation results. The algorithm is based on recursion and it is divided into cases according to the distribution of destination nodes in classes into which all the nodes in a rotator graph are categorized. The sum of the length of paths obtained and the time complexity of the algorithm are estimated and verified by computer simulation. key words: rotator graphs, node-to-set disjoint paths problem, interconnection networks, parallel and distributed processing

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Node-to-Set Disjoint Paths Problem in Bi-rotator Graphs

An algorithm is described for solving the node-to-set disjoint paths problem in bi-rotator graphs, which are obtained by making each edge of a rotator graph bi-directional. The algorithm is of polynomial order of n for an n-bi-rotator graph. It is based on recursion and divided into three cases according to the distribution of destination nodes in the classes into which the nodes in a bi-rotato...

متن کامل

Internally-Disjoint Paths Problem in Bi-Rotator Graphs

A rotator graph was proposed as a topology for interconnection networks of parallel computers, and it is promising because of its small diameter and small degree. However, a rotator graph is a directed graph that sometimes behaves harmfully when it is applied to actual problems. A bi-rotator graph is obtained by making each edge of a rotator graph bi-directional. In a bi-rotator graph, average ...

متن کامل

Node-to-Set Disjoint Paths Problem in Pancake Graphs

In this paper, we give an algorithm for the nodeto-set disjoint paths problem in pancake graphs with its evaluation results. The algorithm is of polynomial order of n for an n-pancake graph. It is based on recursion and divided into two cases according to the distribution of destination nodes in classes into which all the nodes in a pancake graph are categorized. The sum of lengths of paths obt...

متن کامل

An Algorithm for Node-Disjoint Paths in Pancake Graphs

For any pair of distinct nodes in an n-pancake graph, we give an algorithm for construction of n − 1 internally disjoint paths connecting the nodes in the time complexity of polynomial order of n. The length of each path obtained and the time complexity of the algorithm are estimated theoretically and verified by computer simulation. key words: pancake graphs, node-to-node disjoint paths proble...

متن کامل

Node-Disjoint Paths Algorithm in a Transposition Graph

In this paper, we give an algorithm for the node-to-set disjoint paths problem in a transposition graph. The algorithm is of polynomial order of n for an n-transposition graph. It is based on recursion and divided into two cases according to the distribution of destination nodes. The maximum length of each path and the time complexity of the algorithm are estimated theoretically to be O(n7) and...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000