The d-Subtree Partition Problem

2010 ◽  
Vol 33 (4) ◽  
pp. 652-665
Author(s):  
Yan-Guang CAI ◽  
Yun ZHANG ◽  
Ji-Xin QIAN
Keyword(s):  
Partition Problem

scholarly journals A new multi-level algorithm for balanced partition problem on large scale directed graphs

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Xianyue Li ◽  
Yufei Pang ◽  
Chenxia Zhao ◽  
Yang Liu ◽  
Qingzhen Dong
Keyword(s):  
Large Scale ◽  
Directed Graphs ◽  
Vlsi Design ◽  
Graph Partition ◽  
Partition Problem ◽  
Multi Level ◽  
The Stability ◽  
Recursive Partition ◽  
Balanced Partition ◽  
Partition Method

AbstractGraph partition is a classical combinatorial optimization and graph theory problem, and it has a lot of applications, such as scientific computing, VLSI design and clustering etc. In this paper, we study the partition problem on large scale directed graphs under a new objective function, a new instance of graph partition problem. We firstly propose the modeling of this problem, then design an algorithm based on multi-level strategy and recursive partition method, and finally do a lot of simulation experiments. The experimental results verify the stability of our algorithm and show that our algorithm has the same good performance as METIS. In addition, our algorithm is better than METIS on unbalanced ratio.

On a set-theoretic partition problem

1972 ◽  
Vol 39 (1) ◽  
pp. 77-83 ◽  
Author(s):  
Karel Prikry
Keyword(s):  
Partition Problem

A Generalization of the Partition Problem

2015 ◽  
Vol 34 (4) ◽  
pp. 483-503
Author(s):  
Tumulesh K. S. Solanky ◽  
Jie Zhou
Keyword(s):  
Partition Problem

scholarly journals Efficient algorithms for a mixed k-partition problem of graphs without specifying bases

1998 ◽  
Vol 201 (1-2) ◽  
pp. 233-248 ◽  
Author(s):  
Koichi Wada ◽  
Akinari Takaki ◽  
Kimio Kawaguchi
Keyword(s):  
Efficient Algorithms ◽  
Partition Problem

scholarly journals Inoculation strategies for victims of viruses and the sum-of-squares partition problem

2006 ◽  
Vol 72 (6) ◽  
pp. 1077-1093 ◽  
Author(s):  
James Aspnes ◽  
Kevin Chang ◽  
Aleksandr Yampolskiy
Keyword(s):  
Sum Of Squares ◽  
Partition Problem

The Zermelo–Voronoi diagram: A dynamic partition problem

Automatica ◽  
2010 ◽  
Vol 46 (12) ◽  
pp. 2059-2067 ◽  
Author(s):  
Efstathios Bakolas ◽  
Panagiotis Tsiotras
Keyword(s):  
Voronoi Diagram ◽  
Partition Problem
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