scholarly journals Optimal Matroid Partitioning Problems

Algorithmica ◽  
2021 ◽  
Author(s):  
Yasushi Kawase ◽  
Kei Kimura ◽  
Kazuhisa Makino ◽  
Hanna Sumita
2021 ◽  
Vol 5 (1) ◽  
pp. 14
Author(s):  
Christos Makris ◽  
Georgios Pispirigos

Nowadays, due to the extensive use of information networks in a broad range of fields, e.g., bio-informatics, sociology, digital marketing, computer science, etc., graph theory applications have attracted significant scientific interest. Due to its apparent abstraction, community detection has become one of the most thoroughly studied graph partitioning problems. However, the existing algorithms principally propose iterative solutions of high polynomial order that repetitively require exhaustive analysis. These methods can undoubtedly be considered resource-wise overdemanding, unscalable, and inapplicable in big data graphs, such as today’s social networks. In this article, a novel, near-linear, and highly scalable community prediction methodology is introduced. Specifically, using a distributed, stacking-based model, which is built on plain network topology characteristics of bootstrap sampled subgraphs, the underlined community hierarchy of any given social network is efficiently extracted in spite of its size and density. The effectiveness of the proposed methodology has diligently been examined on numerous real-life social networks and proven superior to various similar approaches in terms of performance, stability, and accuracy.


1999 ◽  
Vol 90 (1-3) ◽  
pp. 27-50 ◽  
Author(s):  
Jonathan W Berry ◽  
Mark K Goldberg

1979 ◽  
Vol 101 (1) ◽  
pp. 17-22 ◽  
Author(s):  
K. Phillips

A mathematical model for job scheduling in a specified context is presented. The model uses both linear programming and combinatorial methods. While designed with a view toward optimization of scheduling of facility and plant operations at the Deep Space Network (DSN) Station at Goldstone, the context is sufficiently general to be widely applicable. The general scheduling problem including options for scheduling objectives is discussed and fundamental parameters identified. Mathematical algorithms for partitioning problems germaine to scheduling are presented. A more detailed description of algorithms and of operational aspects of the model is planned for a later report.


2014 ◽  
Vol 24 (4) ◽  
pp. 1698-1717
Author(s):  
Venkatesan Guruswami ◽  
Ali Kemal Sinop ◽  
Yuan Zhou

2017 ◽  
Vol 132 ◽  
pp. 253-271 ◽  
Author(s):  
Reihaneh Khorsand ◽  
Faramarz Safi-Esfahani ◽  
Naser Nematbakhsh ◽  
Mehran Mohsenzade

2015 ◽  
Vol 07 (04) ◽  
pp. 1550045 ◽  
Author(s):  
B. K. Dass ◽  
Namita Sharma ◽  
Rashmi Verma

We investigate the properties of the packing radius of a code with respect to poset block metric. In the process, we have addressed a few minor errors in the paper, “The packing radius of a code and partitioning problems: The case for poset metrics”, in Proc. IEEE Int. Symp. Information Theory (2014), pp. 2954–2958 by D’Oliveira and Firer.


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