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Solving the Maximum Weighted Clique Problem Based on Parallel Biological Computing Model
Joint Authors
Wang, Zhaocai
Qin, Jiangfeng
Ji, Zuwen
Huang, Dongmei
Li, Lei
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The maximum weighted clique (MWC) problem, as a typical NP-complete problem, is difficult to be solved by the electronic computer algorithm.
The aim of the problem is to seek a vertex clique with maximal weight sum in a given undirected graph.
It is an extremely important problem in the field of optimal engineering scheme and control with numerous practical applications.
From the point of view of practice, we give a parallel biological algorithm to solve the MWC problem.
For the maximum weighted clique problem with m edges and n vertices, we use fixed length DNA strands to represent different vertices and edges, fully conduct biochemical reaction, and find the solution to the MVC problem in certain length range with O(n2) time complexity, comparing to the exponential time level by previous computer algorithms.
We expand the applied scope of parallel biological computation and reduce computational complexity of practical engineering problems.
Meanwhile, we provide a meaningful reference for solving other complex problems.
American Psychological Association (APA)
Wang, Zhaocai& Qin, Jiangfeng& Ji, Zuwen& Huang, Dongmei& Li, Lei. 2015. Solving the Maximum Weighted Clique Problem Based on Parallel Biological Computing Model. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073382
Modern Language Association (MLA)
Wang, Zhaocai…[et al.]. Solving the Maximum Weighted Clique Problem Based on Parallel Biological Computing Model. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1073382
American Medical Association (AMA)
Wang, Zhaocai& Qin, Jiangfeng& Ji, Zuwen& Huang, Dongmei& Li, Lei. Solving the Maximum Weighted Clique Problem Based on Parallel Biological Computing Model. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073382
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073382