• 대한조선학회논문집
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• 제38권2호
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• pp.79-86
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• 2001

본 연구에서는 수작업으로 행해지는 블록 어셈블리 순서 결정과 같은 조선 공정계획을 자동화 하기 위하여 선박의 어셈블리 모델을, 그래프 이론을 기반으로, 기하, 관계, 순서 및 계층의 4단계 모델로 구성하는 방법을 제안하였다. 기하모델은 CAD로부터 입력받는 부품들의 기하형상에 일부 속성 값(판부재, 보강재)을 부가한 것이다. 어셈블리 부품간 연결관계를 연결관계를 표현하기 위한 관계 모델을 기하 모델의 곡면간 교차계산을 통해 생성하고, 블록 어셈블리 순서와 구성관계를 나타내기 위해, 관계 모델로부터 그래프 알고리즘과 조선소의 조립 방법을 그래프 탐색 규칙으로 사용해서, 순서모델을 생성하였으며, 이를 위상정렬하여 어셈블리 계층 및 부품 리스트를 표현하는 계층모델을 생성하였다. 끝으로 위에서 제안한 4단계에 따라 Single type, double bottom type과 같은 대표적인 블록 어셈블리 모델을 대상으로 본 연구에서 제안한 방법의 타당성을 검증하였다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제9권1호
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• pp.358-377
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• 2015

In this paper, we propose a novel approach for trajectory recovery. Our system uses a triangulation procedure for skeletonization and graph theory to extract the trajectory. Skeletonization extracts the polyline skeleton according to the polygonal contours of the handwritten characters, and as a result, the junction becomes clear and the characters that are touching each other are separated. The approach for the trajectory recovery is based on graph theory to find the optimal path in the graph that has the best representation of the trajectory. An undirected graph model consisting of one or more strokes is constructed from a polyline skeleton. By using the polyline skeleton, our approach accelerates the process to search for an optimal path. In order to evaluate the performance, we built our own dataset, which includes testing and ground-truth. The dataset consist of thousands of handwritten characters and word images, which are extracted from five handwritten documents. To show the relative advantage of our skeletonization method, we first compare the results against those from Zhang-Suen, a state-of-the-art skeletonization method. For the trajectory recovery, we conduct a comparison using the Root Means Square Error (RMSE) and Dynamic Time Warping (DTW) in order to measure the error between the ground truth and the real output. The comparison reveals that our approach has better performance for both the skeletonization stage and the trajectory recovery stage. Moreover, the processing time comparison proves that our system is faster than the existing systems.

• Journal of applied mathematics & informatics
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• 제33권5_6호
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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.

• Journal of the Korean Statistical Society
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• 제23권2호
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• pp.513-522
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• 1994

A multi-dimensional design is most easily constructed via the amalgamation of one-dimensional component block designs. However, not all sets of component designs are compatible to be amalgamated. The conditions for compatibility are related to the concept of a complete matching in a graph. In this paper, we give sufficient conditions for unequal-replicate designs. Two types of conditions are proposed; one is based on the number of verices adjacent to at least one vertex and the other is ona a degree of vertex, in a bipartite graph. The former is an extension of the sufficient conditions of equal-replicate designs given by Dean an Lewis (1988).

• 대한수학회보
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• 제57권2호
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• pp.295-309
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• 2020

Loop transversal codes take an alternative approach to the theory of error-correcting codes, placing emphasis on the set of errors that are to be corrected. Hitherto, the loop transversal code method has been restricted to linear codes. The goal of the current paper is to extend the conceptual framework of loop transversal codes to admit nonlinear codes. We present a natural example of this nonlinearity among perfect single-error correcting codes that exhibit efficient domination in a circulant graph, and contrast it with linear codes in a similar context.

• 한국정보과학회논문지:시스템및이론
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• 제33권7호
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• pp.448-453
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• 2006

본 논문은 평면 그래프를 위한 병렬 depth-first search (DFS) 알고리즘 [SIAM J. Comput., 19 (1990) 678-704]을 비 평면일 (non-planar) 수 있는 grid 그래프의 한 종류인 solid grid 그래프에 대해서도 수행 가능하도록 확장된 알고리즘을 제안한다. 제안 알고리즘은 Priority PRAM 모델에서 $O(n/sqrt{log\;n})$개의 프로세서로 수행했을 때 O(log n)의 병렬 시간이 소요된다. 우리의 지식으로, 이는 비 평면 그래프를 위한 첫 번째 결정적 NC (deterministic NC) 알고리즘이다.

• Industrial Engineering and Management Systems
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• 제10권4호
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• pp.238-246
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• 2011

Given a directed graph, we can determine how the user's preference moves from one product item to another. In this graph called "preference transition network", each node represents the product item while its edge pointing to the other nodes represents the transition of user's preference. However, with the large number of items make the network become more complex, unclear and difficult to be interpreted. In order to address this problem, this paper proposes a visualization technique in preference transition analysis based on recency and frequency. By adapting these two elements, the semantic meaning of each item and its transition can be clearly identified by its different types of node size, color and edge style. The experiment in a sales data has shown the results of the proposed approach.

• Journal of applied mathematics & informatics
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• 제39권5_6호
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• pp.689-701
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• 2021

The purpose of this paper is to optimize the number of source places required for the unique representation of the destination using the tools of graph theory. A subset S of vertices of a graph G is called a rational resolving set of G if for each pair u, v ∈ V - S, there is a vertex s ∈ S such that d(u/s) ≠ d(v/s), where d(x/s) denotes the mean of the distances from the vertex s to all those y ∈ N[x]. A rational resolving set is called minimal rational resolving set if no proper subset of it is a rational resolving set. In this paper we study varieties of minimal rational resolving sets defined on the basis of its complements and compute the minimum and maximum cardinality of such sets, respectively called as lower and upper rational metric dimensions for power of a path P_n analysing various possibilities.

• 대한수학회논문집
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• 제39권3호
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• pp.803-819
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• 2024

In our study, the integration of fuzzy graphs into classical graph theory gives rise to a novel concept known as "Fuzzy Super Subdivision." Let SS_f (G) be the fuzzy super subdivision graphs, by substituting a complete bipartite graph k_(2,m) (m = 1, 2, . . .) for each edge of a fuzzy graph. The attributes and properties of this newly proposed concept are briefly outlined, in addition to illustrative examples. Furthermore, significant findings are discussed on connectivity, size, degree and order of fuzzy super subdivision structures. To illustrate the practical implications of our approach, we present an application focused on analyzing the growth of infections in blood or urine samples using the Fuzzy Super Subdivision model.

• 한국통신학회논문지
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• 제35권4A호
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• pp.350-359
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• 2010

본 논문에서는 OFDMA를 이용하는 dedicated channel 펨토셀 시스템에서 각 펨토셀이 사용할 subchannel을 할당하는 방법에 대하여 연구한다. 본 subchannel 할당 기법은 가장 적은 수의 subchannel을 할당받는 펨토셀의 subchannel 수를 최대화 하면서 시스템 내의 펨토셀들이 사용하는 subchannel 수의 합을 최대화하는 것을 목표로 한다. 제안된 알고리즘은 interference graph 생성, 컬러링 수행, 각 컬러별 subchannel 연결의 세 단계로 구성된다. 첫 번째 단계에서는 펨토셀 시스템을 각 펨토셀을 node로, 서로 간섭을 겪는 펨토셀들을 edge로 한 interference graph로 모델링 한다. 이후 interfrence graph에 graph theory의 컬러링 기법을 이용하여 각 펨토셀에 컬러를 할당하고, 각 컬러에 subchannel들을 매핑하여, 각 펨토셀에 subchannel을 할당한다. 마지막으로 본 알고리즘의 성능을 시뮬레이션을 통하여 검증한다.