• Title/Summary/Keyword: NP-Complete

Search Result 317, Processing Time 0.021 seconds

Code Optimization in DNA Computing for the Hamiltonian Path Problem (해밀톤 경로 문제를 위한 DNA 컴퓨팅에서 코드 최적화)

  • 김은경;이상용
    • Journal of KIISE:Software and Applications
    • /
    • v.31 no.4
    • /
    • pp.387-393
    • /
    • 2004
  • DNA computing is technology that applies immense parallel castle of living body molecules into information processing technology, and has used to solve NP-complete problems. However, there are problems which do not look for solutions and take much time when only DNA computing technology solves NP-complete problems. In this paper we proposed an algorithm called ACO(Algorithm for Code Optimization) that can efficiently express DNA sequence and create good codes through composition and separation processes as many as the numbers of reaction by DNA coding method. Also, we applied ACO to Hamiltonian path problem of NP-complete problems. As a result, ACO could express DNA codes of variable lengths more efficiently than Adleman's DNA computing algorithm could. In addition, compared to Adleman's DNA computing algorithm, ACO could reduce search time and biological error rate by 50% and could search for accurate paths in a short time.

An enhanced method using NP-complete problem in Public Key Cryptography System (NP-complete 문제를 이용한 공개키 암호 시스템 개선)

  • Baek, Jaejong
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.19 no.12
    • /
    • pp.2865-2870
    • /
    • 2015
  • Recently, due to the hardware computing enhancement such as quantum computers, the amount of information that can be processed in a short period of time is growing exponentially. The cryptography system proposed by Koblitz and Fellows has a problem that it can not be guaranteed that the problem finding perfect dominating set is NP-complete in specific 3-regular graphs because the number of invariant polynomial can not be generated enough. In this paper, we propose an enhanced method to improve the vulnerability in 3-regular graph by generating plenty of invariant polynomials.

Complete genome sequence of multidrug-resistant Moraxella osloensis NP7 with multiple plasmids isolated from human skin (사람의 피부에서 분리한 다약제 내성이며 다수의 플라스미드를 갖는 Moraxella osloensis NP7 균주의 유전체 서열 분석)

  • Ganzorig, Munkhtsatsral;Lim, Jae Yun;Hwang, Ingyu;Lee, Kyoung
    • Korean Journal of Microbiology
    • /
    • v.54 no.3
    • /
    • pp.286-288
    • /
    • 2018
  • Moraxella osloensis NP7 was isolated from human skin of a collage male and showed resistance to ${\beta}-lactam$ and aminoglycoside antibiotics. Herein, we report the complete whole-genome sequence and gene annotations of M. osloensis NP7. It possesses single circular chromosome and seven plasmids. Chromosome is 2,389,582 bp in length with the G + C content of 43.9% and encodes 2,065 protein-coding genes. The combined seven plasmids are 654,202 bp in size with the average G + C content of 40.5% and code for a total of 667 protein-coding genes. The chromosome of NP7 strain contains four ribosomal RNA operon copies, one transfer-messenger RNA gene, forty-seven tRNA genes, three riboswitch genes and three CRISPR arrays. Additional CRISPR array is found in the plasmid pNP7-1. The genes conferring resistance to ${\beta}-lactam$ and aminoglycoside antibiotics were predicted to reside in the plasmid pNP7-1.

Disproof of Hadwiger Conjecture (Hadwiger 추측의 반증)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
    • /
    • v.14 no.5
    • /
    • pp.263-269
    • /
    • 2014
  • In this paper, I disprove Hadwiger conjecture of the vertex coloring problem, which asserts that "All $K_k$-minor free graphs can be colored with k-1 number of colors, i.e., ${\chi}(G)=k$ given $K_k$-minor." Pursuant to Hadwiger conjecture, one shall obtain an NP-complete k-minor to determine ${\chi}(G)=k$, and solve another NP-complete vertex coloring problem as a means to color vertices. In order to disprove Hadwiger conjecture in this paper, I propose an algorithm of linear time complexity O(V) that yields the exact solution to the vertex coloring problem. The proposed algorithm assigns vertex with the minimum degree to the Maximum Independent Set (MIS) and repeats this process on a simplified graph derived by deleting adjacent edges to the MIS vertex so as to finally obtain an MIS with a single color. Next, it repeats the process on a simplified graph derived by deleting edges of the MIS vertex to obtain an MIS whose number of vertex color corresponds to ${\chi}(G)=k$. Also presented in this paper using the proposed algorithm is an additional algorithm that searches solution of ${\chi}^{{\prime}{\prime}}(G)$, the total chromatic number, which also remains NP-complete. When applied to a $K_4$-minor graph, the proposed algorithm has obtained ${\chi}(G)=3$ instead of ${\chi}(G)=4$, proving that the Hadwiger conjecture is not universally applicable to all the graphs. The proposed algorithm, however, is a simple algorithm that directly obtains an independent set minor of ${\chi}(G)=k$ to assign an equal color to the vertices of each independent set without having to determine minors in the first place.

On the Hardness of the Maximum Lot Grouping Problem (최대 로트 그룹핑 문제의 복잡성)

  • Hwang, Hark-Chin
    • Journal of Korean Institute of Industrial Engineers
    • /
    • v.29 no.4
    • /
    • pp.253-258
    • /
    • 2003
  • We consider the problem of grouping orders into lots. The problem is modelled by a graph G=(V,E), where each node ${\nu}{\in}V$ denotes order specification and its weight ${\omega}(\nu)$ the orders on hand for the specification. We can construct a lot simply from orders of single specification. For a set of nodes (specifications) ${\theta}{\subseteq}V$, if the distance of any two nodes in $\theta$ is at most d, it is also possible to make a lot using orders on the nodes. The objective is to maximize the number of lots with size exactly $\lambda$. In this paper, we prove that our problem is NP-Complete when $d=2,{\lambda}=3$ and each weight is 0 or 1. Moreover, it is also shown to be NP-Complete when $d=1,{\lambda}=3$ and each weight is 1,2 or 3.

Inhibition of GM3 Synthase Attenuates Neuropathology of Niemann-Pick Disease Type C by Affecting Sphingolipid Metabolism

  • Lee, Hyun;Lee, Jong Kil;Bae, Yong Chul;Yang, Song Hyun;Okino, Nozomu;Schuchman, Edward H.;Yamashita, Tadashi;Bae, Jae-Sung;Jin, Hee Kyung
    • Molecules and Cells
    • /
    • v.37 no.2
    • /
    • pp.161-171
    • /
    • 2014
  • In several lysosomal storage disorders, including Niemann-Pick disease Type C (NP-C), sphingolipids, including glycosphingolipids, particularly gangliosides, are the predominant storage materials in the brain, raising the possibility that accumulation of these lipids may be involved in the NP-C neurodegenerative process. However, correlation of these accumulations and NP-C neuropathology has not been fully characterized. Here we derived NP-C mice with complete and partial deletion of the Siat9 (encoding GM3 synthase) gene in order to investigate the role of ganglioside in NP-C pathogenesis. According to our results, NP-C mice with homozygotic deletion of GM3 synthase exhibited an enhanced neuropathological phenotype and died significantly earlier than NP-C mice. Notably, in contrast to complete depletion, NP-C mice with partial deletion of the GM3 synthase gene showed ameliorated NP-C neuropathology, including motor disability, demyelination, and abnormal accumulation of cholesterol and sphingolipids. These findings indicate the crucial role of GM3 synthesis in the NP-C phenotype and progression of CNS pathologic abnormality, suggesting that well-controlled inhibition of GM3 synthesis could be used as a therapeutic strategy.

Application of Ant System Algorithm on Parcels Delivery Service in Korea (국내택배시스템에 개미시스템 알고리즘의 적용가능성 검토)

  • Jo, Wan-Kyung;Rhee, Jong-Ho
    • Journal of Korean Society of Transportation
    • /
    • v.23 no.4 s.82
    • /
    • pp.81-91
    • /
    • 2005
  • The Traveling Salesman Problem(TSP) is one of the NP-complete (None-deterministic Polynomial time complete) route optimization problems. Its calculation time increases very rapidly as the number of nodes does. Therefore, the near optimum solution has been searched by heuristic algorithms rather than the real optimum has. This paper reviews the Ant System Algorithm(ANS), an heuristic algorithm of TSP and its applicability in the parcel delivery service in Korea. ASA, which is an heuristic algorithm of NP-complete has been studied by M. Dorigo in the early 1990. ASA finds the optimum route by the probabilistic method based on the cumulated pheromone on the links by ants. ASA has been known as one of the efficient heuristic algorithms in terms of its calculation time and result. Its applications have been expanded to vehicle routing problems, network management and highway alignment planning. The precise criteria for vehicle routing has not been set up in the parcel delivery service of Korea. Vehicle routing has been determined by the vehicle deriver himself or herself. In this paper the applicability of ASA to the parcel delivery service has been reviewed. When the driver s vehicle routing is assumed to follow the Nearest Neighbor Algorithm (NNA) with 20 nodes (pick-up and drop-off places) in $10Km{\times}10Km$ service area, his or her decision was compared with ASA's one. Also, ASA showed better results than NNA as the number of nodes increases from 10 to 200. If ASA is applied, the transport cost savings could be expected in the parcel delivery service in Korea.

Maximum Profit Priority Goods First Loading Algorithm for Barge Loading Problem (바지선 적재 문제의 최대이득 물품 우선 적재 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
    • /
    • v.19 no.10
    • /
    • pp.169-173
    • /
    • 2014
  • Nobody has yet been able to determine the optimal solution conclusively whether NP-complete problems are in fact solvable in polynomial time. Gu$\acute{e}$ret et al. tries to obtain the optimal solution using linear programming with $O(m^4)$ time complexity for barge loading problem a kind of bin packing problem that is classified as nondeterministic polynomial time (NP)-complete problem. On the other hand, this paper suggests the loading rule of profit priority rank algorithm with O(m log m) time complexity. This paper decides the profit priority rank firstly. Then, we obtain the initial loading result using the rule of loading the good has profit priority order. Finally, we balance the loading and capability of barge swap the goods of unloading in previously loading in case of under loading. As a result of experiments, this algorithm reduces the $O(m^4)$ of linear programming to O(m log m) time complexity for NP-complete barge loading problem.

A Polynomial Time Algorithm for Edge Coloring Problem (간선 색칠 문제의 다항시간 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
    • /
    • v.18 no.11
    • /
    • pp.159-165
    • /
    • 2013
  • This paper proposes a O(E) polynomial-time algorithm that has been devised to simultaneously solve edge-coloring problem and graph classification problem both of which remain NP-complete. The proposed algorithm selects an edge connecting maximum and minimum degree vertices so as to determine the number of edge coloring ${\chi}^{\prime}(G)$. Determined ${\chi}^{\prime}(G)$ is in turn either ${\Delta}(G)$ or ${\Delta}(G)+1$. Eventually, the result could be classified as class 1 if ${\chi}^{\prime}(G)={\Delta}(G)$ and as category 2 if ${\chi}^{\prime}(G)={\Delta}(G)+1$. This paper also proves Vizing's planar graph conjecture, which states that 'all simple, planar graphs with maximum degree six or seven are of class one, closing the remaining possible case', which has known to be NP-complete.

Sub-Exponential Algorithm for 0/1 Knapsack (0/1 Knapsack에 대한 서브-지수 함수 알고리즘)

  • Rhee, Chung Sei
    • Convergence Security Journal
    • /
    • v.14 no.7
    • /
    • pp.59-64
    • /
    • 2014
  • We investigate $p(n){\cdot}2^{O(\sqrt{n})}$ algorithm for 0/1 knapsack problem where x is the total bit length of a list of sizes of n objects. The algorithm is adaptable of method that achieves a similar complexity for the partition and Subset Sum problem. The method can be applied to other optimization or decision problem based on a list of numerics sizes or weights. 0/1 knapsack problem can be used to solve NP-Complete Problems with pseudo-polynomial time algorithm. We try to apply this technique to bio-informatics problem which has pseudo-polynomial time complexity.