• Nonlinear Functional Analysis and Applications
• /
• 제29권1호
• /
• pp.209-224
• /
• 2024

The goal of this study is to instigate various new and novel optimum proximity point theorems using the notion of implicit relation type ℶ-proximal contraction for non-self mappings. An illustrated example is used to demonstrate the validity of the obtained results. Furthermore, some uniqueness results for proximal contractions are also furnished with partial order and graph. Various well-known discoveries in the present state-of-the-art are enhanced, extended, unified, and generalized by our findings. As an application, we generate some fixed point results fulfilling a modified contraction and a graph contraction, using the profundity of the established results.

• 한국실내디자인학회논문집
• /
• 제18권4호
• /
• pp.97-104
• /
• 2009

This thesis analyzed arrangement and mixture method of function elements, which are getting more important in museum planning. It used quantitative method, Space Syntax and Visibility Graph Analysis tool to analyze five case museums. Through this analysis, advantages and disadvantages of two methods were derived and case museums' arrangement and mixture attributes were grasped. Results of the analysis were derived differently by two kinds of plan form which were room to room type and open type. Open typed museum recorded similar graphs of Integration, Visual Integration and Visual Connectivity. Since whole space structures were relatively simple and structure of exhibition halls were opened, the results of Space Syntax and Visibility Graph Analysis had similar graphs. Room to room typed museum showed differences in Integration, Visual Integration and Visual Connectivity. In the result, the most accessible space was lobby and Mediation Space became the center of visibility. Also, the exhibition hall, where the opening of room to room typed exhibition hall was penetrated visually, became a center of visibility. Lobby space, which was close to entrance, had the highest Visibility Connectivity. As Space Syntax could analyze the museum as whole space structure, Space Syntax showed strength in room to room typed museum analysis compared to open typed museum analysis which has relatively simple structure. Visibility Graph Analysis could expect the flow of exhibit distance including visibility analysis unlike the flow of exhibit distance with space arrangement. The exhibition hall, which secures the sight to penetration of an opening, couldn't be analyzed in existing Space Syntax. However, it became the biggest advantages in Visibility Graph Analysis of room to room typed museum. Visibility Graph Analysis derived detailed results in exhibit arrangement so it will be the useful method not only for architecture but also for planning of exhibit arrangement in open typed museum. Through this study, various possibilities on Quantitative Analysis Method of Museum Architecture could be verified. However, the analysis still has limitation of second dimension. Therefore, diverse and liberal following study will be expected to accomplish.

• 대한수학회지
• /
• 제59권4호
• /
• pp.757-774
• /
• 2022

Let a and b be positive even integers. An even [a, b]-factor of a graph G is a spanning subgraph H such that for every vertex v ∈ V (G), d_H(v) is even and a ≤ dH(v) ≤ b. Let κ(G) be the minimum size of a vertex set S such that G - S is disconnected or one vertex, and let σ₂(G) = min_uv∉E(G) (d(u)+d(v)). In 2005, Matsuda proved an Ore-type condition for an n-vertex graph satisfying certain properties to guarantee the existence of an even [2, b]-factor. In this paper, we prove that for an even positive integer b with b ≥ 6, if G is an n-vertex graph such that n ≥ b + 5, κ(G) ≥ 4, and σ₂(G) ≥ ${\frac{8n}{b+4}}$, then G contains an even [4, b]-factor; each condition on n, κ(G), and σ₂(G) is sharp.

• 대한수학회지
• /
• 제60권5호
• /
• pp.959-986
• /
• 2023

Zhai and Lin recently proved that if G is an n-vertex connected 𝜃(1, 2, r + 1)-free graph, then for odd r and n ⩾ 10r, or for even r and n ⩾ 7r, one has ${\rho}(G){\leq}{\sqrt{{\lfloor}{\frac{n^2}{4}}{\rfloor}}}$, and equality holds if and only if G is $K_{{\lceil}{\frac{n}{2}}{\rceil},{\lfloor}{\frac{n}{2}}{\rfloor}}$. In this paper, for large enough n, we prove a sharp upper bound for the spectral radius in an n-vertex H-free non-bipartite graph, where H is 𝜃(1, 2, 3) or 𝜃(1, 2, 4), and we characterize all the extremal graphs. Furthermore, for n ⩾ 137, we determine the maximum number of edges in an n-vertex 𝜃(1, 2, 4)-free non-bipartite graph and characterize the unique extremal graph.

• 한국정보통신학회논문지
• /
• 제17권1호
• /
• pp.175-182
• /
• 2013

아날로그 형태로 기록되어지는 조위관측 기록의 디지털화는 많은 해양 관련 연구에 도움을 줄 수 있다. 본 논문에서는 조위관측 기록 디지털화의 한 부분인 그래프 영역 분리에 관한 방법을 제안한다. 사용자가 그래프 영역으로 간주되는 하나의 픽셀을 선택하면, 선택된 픽셀의 색상을 이용해 이미지의 상당 부분을 구성하는 배경 픽셀들을 분리한다. 남아 있는 배경 픽셀들과 그래프 영역 픽셀들을 구분하기 위해, 각 열에서 하나의 그래프 픽셀을 결정하고, 이 픽셀을 중심으로 그래프 영역을 분리한다. 실험결과는 본 논문에서 제안한 방법이 이전의 그래프 영역 분리 방법의 단점을 보완하고, 원 이미지의 그래프 영역과 유사한 그래프 영역을 검출할 수 있음을 보여준다.

• 정보처리학회논문지D
• /
• 제9D권3호
• /
• pp.337-344
• /
• 2002

최근에 그래프 타입의 자료에 대한 연구가 이루어지고 있다. 그 이유는 그래프가 지리정보시스템, 네트워크, WWW, 멀티미디어 프리젠테이션 등과 같은 영역의 문제들을 자연스럽게 표현할 수 있으며 자료 변화의 순서가 중요한 영역의 문제들도 자연스럽게 표현할 수 있기 때문이다. 이 논문에서는 방향 비순환 그래프로 표현되는 멀티미디어 프리젠테이션 그래프의 경로를 효과적으로 검색 처리하는 코드 시스템인 노드 코드 시스템을 제안한다. 노드 코스 시스템은 그래프의 각 노드마다 유일한 2진 문자열을 부여한다. 두 노드의 노드 코드를 비교하여 그래프 운행 없이 두 노드가 연결되어 있는지를 확인할 수 있다. 전통적인 그래프 운행을 이용한 방법보다 노드 코드 시스템의 이 특성을 이용하면 두 노드 사이의 경로의 건설을 효과적으로 할 수 있다. 노드 코드 시스템을 이용하여 경로를 건설할 수 있는 알고리즘을 제시한다.

• 한국과학교육학회지
• /
• 제39권5호
• /
• pp.655-668
• /
• 2019

이 연구에서는 중학생들의 과학 그래프 구성 과정을 문제 해결의 관점에서 심층적으로 조사하였다. 중학교 3학년 학생 10명이 연구에 참여하였으며, 이들은 앙금 생성 반응을 묘사한 그림 자료를 바탕으로 과학 그래프를 구성하였다. 학생들이 그래프를 구성할 때 거치는 사고 과정을 심층적으로 조사하기 위하여 발성사고법을 활용하였고, 그래프 구성 과정에 대한 녹화 및 반구조화된 면담을 실시하였다. 연구 결과, 학생들의 과학 그래프 구성 유형은 사용한 문제 해결 전략과 활용한 표상의 수준에 따라 네 가지 유형으로 구분할 수 있었다. 구조적 전략을 사용한 학생들은 그래프의 목표 개념에 대한 명제적 지식을 바탕으로 자료를 분석하고 경향성을 파악함으로써 활용한 표상의 수준과 무관하게 과학 그래프 구성에 성공하였다. 임의 전략-고차원 표상 유형의 학생들은 다양한 표상을 활용해 자료의 특징을 체계적으로 분석하고 자신이 구성한 그래프의 의미를 과학적 맥락에서 검토하는 과정을 거치며 과학 그래프 구성에 성공할 수 있었다. 반면, 임의전략-저차원 표상 유형의 학생들은 단순히 점을 연결하는 방식으로 그래프를 구성하였고, 과학적 맥락에 대한 고려 없이 그래프 구성 과정만을 점검하는 수준에 머물며 올바른 과학 그래프 구성에 실패하였다. 연구 결과를 바탕으로 학생들의 과학 그래프 구성 능력을 효과적으로 함양하는 방안을 제안하였다.

• 한국실내디자인학회논문집
• /
• 제23권2호
• /
• pp.166-173
• /
• 2014

This study analyzed visual-perceptual centrality as a measure to solve the confusion that might occur in visitor's movement in analyzing contemporary museums that have recently expand. Also, this study proposed a new methodology to understand the relationships of the occurrence and convergence of visual-perceptual power. The existing visibility graph analysis mostly ends up in identifying nodes corresponding to the physical environment of museums while the newly proposed visibility graph analysis is a methodology that can analyze the landmark on which the visual-perceptual power occurs and converges, by setting visible space elements as analysis variables, which showed a possibility to draw more reliable results in parallel to the existing analysis, and the results of this analysis are as follows. A public museum located in downtown has a limitation that it cannot but be multi-layered as a way to enlarge for the accommodation of a variety of programs on a limited site. Also, this study found that the problem of visitor orientation occurring in the multi-layer process was solved by a major space which was visual-perceptually void. Also, its types can be summarized into two types: One is setting parameter spaces (ramps, staircases, hallways) linked visual-perceptually to the major space and the other is solving the confusion of the visitor's movement by composing a simple exhibition space. In particular, it is judged that the type solving the confusion of the visitor's movement by composing a simple exhibition space also had a relationship with changes in the characteristics of the exhibited works by period. In addition, it was found that the entrance also appeared in two types: dependent type and independent type in the major space according to the characteristics of the major space.

• 한국정보시스템학회지:정보시스템연구
• /
• 제5권
• /
• pp.149-173
• /
• 1996

This paper focus on the development of object-oriented model bases for Structured Modeling. For the model base organization, object modeling techniques and model typing concept which is similar to data typing concept are used. Structured modeling formalizes the notion of a definitional system as a way of dscribing models. From the object-oriented concept, a structured model can be represented as follows. Each group of similar elements(genus) is represented by a composite class. Other type of genera can be represented in a similar manner. This hierarchical class composition gives rise to an acyclic class-composition graph which corresponds with the genus graph of structured model. Nodes in this graph are instantiated to represent the elemental graph for a specific model. Taking this class composition process one step further, we aggregate the classes into higher-level composite classes which would correspond to the structured modeling notion of a module. Finally, the model itself is then represented by a composite class having attributes each of whose domain is a composite class representing one of the modules. The resulting class-composition graph represent the modular tree of the structured.

• East Asian mathematical journal
• /
• 제26권3호
• /
• pp.423-427
• /
• 2010

In this paper, we give an upper bound for dominations of Steinhaus graphs, and the domination numbers of the bipartite Steinhaus graphs. Also, we give an upper bound for Nordhaus-Gaddum type result for the bipartite Steinhaus graphs.