• Title/Summary/Keyword: graph structure

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Structure Modeling of Machine Tools and Internet-based Implementation (공작기계 구조 모델링과 인터넷 기반 구현)

  • Hong Dong-Phyo;Seo Yoon-Ho;Kim In-Soo;Lee Gyu-Bong;Sheen Dong-Mok
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.785-791
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    • 2005
  • Reconfigurability of machine tools is one of the critical factors to realize the responsive manufacturing systems to satisfy the mass-customization production. This paper presents the methods to model and simulate the machine tools on Internet in response to change in the machining requirements. Specifically, a set of module combination rules and a modeling method of the structure of machine tools using connectivity graph are developed. In response to the user requirements, kinematic relations and structures of machine tools can be derived using the module combination rules and connectivity graph relationships. Internet-based simulator of machine tools is implemented and presented. The developed machine tool simulator can be used to verify the structure of machine tools derived from the user requirements.

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A Selective Protection Scheme for Scalable Video Coding Based on Dependency Graph Model

  • Hendry, Hendry;Kim, Munchurl
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2010.11a
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    • pp.78-81
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    • 2010
  • In this paper, we propose an efficient and effective selective protection scheme to SVC that exploit the propagation of protection effect by protecting significant frames that can give the maximum visual quality degradation. We model SVC dependency coding structure as a directed acyclic graph which is characterized with an estimated visual quality value as the attribute at each node. The estimated visual quality is calculated by using our model based on the proportions of intra- and inter-predicted MBs, amounts of residual, and estimated visual quality of reference frames. The proposed selective protection scheme traverses the graph to find optimal protection paths that can give maximum visual quality degradation. Experimental results show that the proposed selective protection scheme reduces the required number of frames to be protected by 46.02% compared to the whole protection scheme and 27.56% compared to the layered protection scheme.

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A Genetic Algorithm Using Hamiltonian Graph for Rural Postman Problem (Rural Postman 문제에서 헤밀토니안 그래프 변환에 의한 유전자 알고리즘 해법)

  • Kang, Myung-Ju;Han, Chi-Geun
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.4
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    • pp.709-717
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    • 1997
  • For an undirected graph G=(V, E), the Rural Postman Problem (RPP) is a problem that finds a minimum cost tour that must pass edges in E'($\subseteq$ E) at least once. RPP, such as Traveling Salesman Problem (TSP), is known as an NP. Complete problem. In the previous study of RPP, he structure of the chromosome is constructed by E' and the direction of the edge. Hence, the larger the size of IE' I is, the larger the size of the chromosome and the size of the solution space are. In this paper, we transform the RPP into a Hamiltonian graph and use a genetic algorithm to solve the transformed problem using restructured chromosomes. In the simulations, we analyze our method and the previous study. From the simulation results, it is found that the results of the proposed method is better than those of the previous method and the proposed method also obtains the near optimal solution in earlier generations than the previous study.

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DEGREE OF VERTICES IN VAGUE GRAPHS

  • BORZOOEI, R.A.;RASHMANLOU, HOSSEIN
    • Journal of applied mathematics & informatics
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    • v.33 no.5_6
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    • pp.545-557
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    • 2015
  • A vague graph is a generalized structure of a fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, we define two new operation on vague graphs namely normal product and tensor product and study about the degree of a vertex in vague graphs which are obtained from two given vague graphs G1 and G2 using the operations cartesian product, composition, tensor product and normal product. These operations are highly utilized by computer science, geometry, algebra, number theory and operation research. In addition to the existing operations these properties will also be helpful to study large vague graph as a combination of small, vague graphs and to derive its properties from those of the smaller ones.

A GENERALIZED IDEAL BASED-ZERO DIVISOR GRAPHS OF NEAR-RINGS

  • Dheena, Patchirajulu;Elavarasan, Balasubramanian
    • Communications of the Korean Mathematical Society
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    • v.24 no.2
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    • pp.161-169
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    • 2009
  • In this paper, we introduce the generalized ideal-based zero-divisor graph structure of near-ring N, denoted by $\widehat{{\Gamma}_I(N)}$. It is shown that if I is a completely reflexive ideal of N, then every two vertices in $\widehat{{\Gamma}_I(N)}$ are connected by a path of length at most 3, and if $\widehat{{\Gamma}_I(N)}$ contains a cycle, then the core K of $\widehat{{\Gamma}_I(N)}$ is a union of triangles and rectangles. We have shown that if $\widehat{{\Gamma}_I(N)}$ is a bipartite graph for a completely semiprime ideal I of N, then N has two prime ideals whose intersection is I.

A scheduling algorithm for conditonal resources sharing consideration (조건부 자원 공유를 고려한 스케쥴링 알고리즘)

  • 인지호;정정화
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.2
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    • pp.196-204
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    • 1996
  • This paper presents a new scheduling algorithm, which is the most improtant subtask in the high level synthesis. The proposed algorithm performs scheduling in consideration of resource sharing concept based on characteristics of conditionsla bransches in the intermediate data structure. CDFG (control data flow graph) generated by a VHDL analyzer. This algorithm constructs a conditon graph based on time frame of each operation using both the ASAP and the ALAP scheduling algorithm. The conditon priority is obtained from the condition graph constructed from each conditional brance. The determined condition priority implies the sequential order of transforming the CDFG with conditonal branches into the CDFG without conditional branches. To minimize resource cost, the CDFG with conditional branches are transformed into the CDFG without conditonal brancehs according to the condition priority. Considering the data dependency, the hardware constraints, and the data execution time constraints, each operation in the transformed CDFG is assigned ot control steps. Such assigning of unscheduled operations into contorl steps implies the performance of the scheduling in the consecutive movement of operations. The effectiveness of this algorithm is hsown by the experiment for the benchmark circuits.

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Matroid와 Graph에 대하여

  • Kim Yeon Sik
    • The Mathematical Education
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    • v.12 no.2
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    • pp.1-4
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    • 1974
  • Matroid theory, which was first introduced in 1935 by Whitney (2), is a branch of combinational mathematics which has some very much to the fore in the last few years. H. Whitney had just spent several years working in the field of graph theory, and had noticed several similarities between the ideas of independence and rank in graph theory and those of linear independence and dimension in the study of vector spaces. A matroid is essentially a set with some kind of 'independence structure' defined on it. There are several known results concerning how matroids can be induced from given matroid by a digraph. The purpose of this note is to show that, given a matroid M$_{0}$ (N) and a digraph $\Gamma$(N), then a new matroid M(N) is induced, where A⊆N is independent in M(N) if and only if A is the set of initial vertices of a family of pairwise-vertex-disjoint paths with terminal vertices independent in M$_{0}$ (N).(N).

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Hierarchical Structure in Semantic Networks of Japanese Word Associations

  • Miyake, Maki;Joyce, Terry;Jung, Jae-Young;Akama, Hiroyuki
    • Proceedings of the Korean Society for Language and Information Conference
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    • 2007.11a
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    • pp.321-329
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    • 2007
  • This paper reports on the application of network analysis approaches to investigate the characteristics of graph representations of Japanese word associations. Two semantic networks are constructed from two separate Japanese word association databases. The basic statistical features of the networks indicate that they have scale-free and small-world properties and that they exhibit hierarchical organization. A graph clustering method is also applied to the networks with the objective of generating hierarchical structures within the semantic networks. The method is shown to be an efficient tool for analyzing large-scale structures within corpora. As a utilization of the network clustering results, we briefly introduce two web-based applications: the first is a search system that highlights various possible relations between words according to association type, while the second is to present the hierarchical architecture of a semantic network. The systems realize dynamic representations of network structures based on the relationships between words and concepts.

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BINGO: Biological Interpretation Through Statistically and Graph-theoretically Navigating Gene $Ontology^{TM}$

  • Lee, Sung-Geun;Yang, Jae-Seong;Chung, Il-Kyung;Kim, Yang-Seok
    • Molecular & Cellular Toxicology
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    • v.1 no.4
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    • pp.281-283
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    • 2005
  • Extraction of biologically meaningful data and their validation are very important for toxicogenomics study because it deals with huge amount of heterogeneous data. BINGO is an annotation mining tool for biological interpretation of gene groups. Several statistical modeling approaches using Gene Ontology (GO) have been employed in many programs for that purpose. The statistical methodologies are useful in investigating the most significant GO attributes in a gene group, but the coherence of the resultant GO attributes over the entire group is rarely assessed. BINGO complements the statistical methods with graph-theoretic measures using the GO directed acyclic graph (DAG) structure. In addition, BINGO visualizes the consistency of a gene group more intuitively with a group-based GO subgraph. The input group can be any interesting list of genes or gene products regardless of its generation process if the group is built under a functional congruency hypothesis such as gene clusters from DNA microarray analysis.

A study on critical strain properties of intact rock due to Petrogenesis (암석의 성인별 한계변형률 특성에 관한 연구)

  • Kim, Young-Su;Park, Si-Hyun;Kim, Dae-Man;Shin, Ji-Seop;Han, Hee-Su
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.03a
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    • pp.1133-1138
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    • 2009
  • This study was conducted in order to know the internal application of the critical strain graph. To evaluate critical strain graph, we carried out an uniaxial compression test with some of internal rocks: sandstone, shale, weathered granite, and pink granitic. Based on the uniaxial compression test, we deduced relations among critical strain, failure strain, uniaxial compression strength and modulus of elasticity. As a result, the study has found out the rocks, which have been tested, can be possibly evaluated by critical strain graph.

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