• Journal of applied mathematics & informatics
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• 제10권1_2호
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• pp.333-351
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• 2002

This paper introduces a search method based on conceptual graph. A hyperlink information is essential to construct conceptual graph in web. The information is very useful as it provides summary and further linkage to construct conceptual graph that has been provided by human. It also has a property which shows review, relation, hierarchy, generality, and visibility. Using this property, we extracted the keywords of web documents and made up of the conceptual graph among the keywords sampled from web pages. This paper extracts the keywords of web pages using anchor text one out of hyperlink information and makes hyperlink of web pages abstract as the link relation between keywords of each web page. 1 suggest this useful search method providing querying word extension or domain knowledge by conceptual graph of keywords. Domain knowledge was conceptualized knowledged as the conceptual graph. Then it is not listing web documents which is the defect of previous search system. And it gives the index of concept associating with querying word.

• 정보처리학회논문지:소프트웨어 및 데이터공학
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• 제1권3호
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• pp.159-168
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• 2012

SNS, 클라우드, Web3.0과 같은 새로운 IT환경은 '관계(relation)'가 중요한 요소가 되고 있다. 그리고 이들 관계(relation)는 거래, 즉, 트랜잭션을 발생시킨다. 그러나 우리가 사용하고 있는 관계형 데이터베이스(RDBMS)나 그래프 데이터베이스는 관계(relation)를 나타내는 그래프 구조와 트랜잭션을 동시에 처리하지 못한다. 본 논문은 확장 가능한 복잡 네트워크 시스템에서 활용할 수 있는 그래프 구조와 트랜잭션을 동시에 처리할 수 있는 방법을 제안한다. 제안 기법은 토픽맵의 데이터 모델을 응용하여 그래프 구조와 트랜잭션을 동시에 저장하고 탐색한다. 토픽맵은 시멘틱 웹(Web3.0)을 구현하는 온톨로지 언어 중 하나로써, 정보자원들 사이의 연관 '관계(relation)'를 통해 정보의 네비게이터로써 활용되고 있다. 또한 본 논문에서는 컬럼형 데이터베이스인 카산드라를 이용하여 제안 기법의 아키텍처를 설계, 구현하였다. 이는 분산처리를 이용하여 빅데이터 레벨의 데이터까지 처리할 수 있도록 하기 위함이다. 마지막으로 대표적인 RDBMS인 오라클과 제안 기법을 동일한 데이터 소스, 동일한 질문에 대해 저장 및 질의를 하는 과정을 실험으로 보였다. 이는 조인(join) 없이 관계(relation)를 표현함으로써 RDBMS의 역할까지 충분히 대체 가능함을 보이고자 한다.

• 디지털콘텐츠학회 논문지
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• 제11권4호
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• pp.571-578
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• 2010

최근 모바일 기기를 기반으로 수많은 소셜 네트워크 서비스가 확산되고 보급되는 가운데, 위치와 시간을 기반으로 하는 연구들이 증가하고 있다. 그러나 기존 연구들에서는 장소와 시간, 이벤트에 대한 조합적인 질의를 해결하는 것이 주요한 문제가 되었다. 본 연구에서는 소셜 서비스를 위한 시공간 모델링 방안으로 장소와 시간, 이벤트, 사용자의 소셜 액티비티를 통해 Human Activity Graph 모델링 방안과 Quad Relation Factors를 제안하고, 이를 위한 데이터 수집과 분석을 위한 하부 구조를 설계하였다.

• Journal of Electrical Engineering and Technology
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• 제9권4호
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• pp.1188-1195
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• 2014

This paper presents an analytical technique for reliability evaluation of electrical distribution network (EDN) containing distributed generation (DG). Based on hierarchical levels of circuit breaker controlling zones and feeder sections, a directed-relation-graph (DRG) for an END is formed to describe the hierarchical structure of the EDN. The reliability indices of EDN and load points can be evaluated directly using the formed DRG, and the reliability evaluation of an EDN containing DGs can also be done without re-forming the DRG. The proposed technique incorporates multi-state models of photovoltaic and diesel generations, as well as weather factors. The IEEE-RBTS Bus 6 EDN is used to validate the proposed technique; and a practical campus EDN containing DG was also analyzed using the proposed technique.

• 한국연소학회지
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• 제16권2호
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• pp.16-22
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• 2011

It is a challenging task to apply large detailed chemical mechanisms of fuel oxidation in simulation of complex combustion phenomena. There exist a few systematic methodologies to reduce detailed chemical mechanisms to smaller sizes involving less computational load. This research work concerns generation of a skeletal chemical mechanism by a directed relation graph with specified accuracy requirement. Two sequential stages for mechanism reduction are followed in a perfectly stirred reactor(PSR) for high temperature chemistry and to consider the autoignition delay time for low and high temperature chemistry. Reduction was performed for the detailed chemical mechanism of n-heptane consisting of 561 species and 2539 elementary reaction steps. Validation results show acceptable agreement for the autoignition delay time and the PSR calculation in wide parametric ranges of pressure, temperature and equivalence ratio.

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

• Journal of applied mathematics & informatics
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• 제41권2호
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• pp.287-293
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• 2023

In this paper, the Augmented graph Es(τ) of the inverse graph Gs(τ) of a cyclic group (τ,◦) was studied. The Augmented inverse graph was constructed by applying the method of Mycielski's construction. The dimension of Augmented inverse graph and different properties of the graph were investigated. Later the chromatic number of Augmented inverse graph was discussed and the relation between the maximum degree of the graph and the chromatic number was established. In the Mycielski's construction, the properties of the key node 'u' in Es (τ) were established based on cardinality of the cyclic group (τ,◦) and also proved that the Augmented inverse graph Es(τ) was a triangle free graph.

• Journal of applied mathematics & informatics
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• 제25권1_2호
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• pp.519-524
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• 2007

Facility location problems deal with the concept of centrality and centrality questions are examined using graphs and eccentricity. In this paper, we give interesting properties of a tree in relation with the number of central vertices and peripheral vertices. Also we have some conditions to be an eccentric graph in terms of the girth of a graph.

• 대한수학회지
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• 제47권3호
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• pp.601-631
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• 2010

In [6] and [7], we introduced graph von Neumann algebras which are the (groupoid) crossed product algebras of von Neumann algebras and graph groupoids via groupoid actions. We showed that such crossed product algebras have the graph-depending amalgamated reduced free probabilistic properties. In this paper, we will consider a scalar-valued $W^*$-probability on a given graph von Neumann algebra. We show that a diagonal graph $W^*$-probability space (as a scalar-valued $W^*$-probability space) and a graph W¤-probability space (as an amalgamated $W^*$-probability space) are compatible. By this compatibility, we can find the relation between amalgamated free distributions and scalar-valued free distributions on a graph von Neumann algebra. Under this compatibility, we observe the scalar-valued freeness on a graph von Neumann algebra.

• 대한수학회논문집
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• 제11권4호
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• pp.1159-1174
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• 1996

The spectrum of the Laplacian matrix of a graph gives an information of the structure of the graph. For example, the product of non-zero eigenvalues of the characteristic polynomial of the Laplacian matrix of a graph with n vertices is n times of the number of spanning trees of that graph. The characteristic polynomial of the Laplacian matrix of a graph tells us the number of spanning trees and the connectivity of given graph. in this paper, we compute the characteristic polynomial of the Laplacian matrix of a graph bundle when its voltage lie in an abelian subgroup of the full automorphism group of the fibre; in particular, the automorphism group of the fibre is abelian. Also we study a relation between the characteristic polynomial of the Laplacian matrix of a graph G and that of the Laplacian matrix of a graph bundle over G. Some applications are also discussed.