• Title/Summary/Keyword: Graph Matching

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AN EXTREMAL PROBLEM ON POTENTIALLY $K_{r,r}$-ke-GRAPHIC SEQUENCES

  • Chen, Gang;Yin, Jian-Hua
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.49-58
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    • 2009
  • For $1{\leq}k{\leq}r$, let ${\sigma}$($K_{r,r}$ - ke, n) be the smallest even integer such that every n-term graphic sequence ${\pi}$ = ($d_1$, $d_2$, ..., $d_n$) with term sum ${\sigma}({\pi})$ = $d_1$ + $d_2$ + ${\cdots}$ + $d_n\;{\geq}\;{\sigma}$($K_{r,r}$ - ke, n) has a realization G containing $K_{r,r}$ - ke as a subgraph, where $K_{r,r}$ - ke is the graph obtained from the $r\;{\times}\;r$ complete bipartite graph $K_{r,r}$ by deleting k edges which form a matching. In this paper, we determine ${\sigma}$($K_{r,r}$ - ke, n) for even $r\;({\geq}4)$ and $n{\geq}7r^2+{\frac{1}{2}}r-22$ and for odd r (${\geq}5$) and $n{\geq}7r^2+9r-26$.

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A Model-Based Method for Information Alignment: A Case Study on Educational Standards

  • Choi, Namyoun;Song, Il-Yeol;Zhu, Yongjun
    • Journal of Computing Science and Engineering
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    • v.10 no.3
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    • pp.85-94
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    • 2016
  • We propose a model-based method for information alignment using educational standards as a case study. Discrepancies and inconsistencies in educational standards across different states/cities hinder the retrieval and sharing of educational resources. Unlike existing educational standards alignment systems that only give binary judgments (either "aligned" or "not-aligned"), our proposed system classifies each pair of educational standard statements in one of seven levels of alignments: Strongly Fully-aligned, Weakly Fully-aligned, Partially-$aligned^{***}$, Partially-$aligned^{**}$, Partially-$aligned^*$, Poorly-aligned, and Not-aligned. Such a 7-level categorization extends the notion of binary alignment and provides a finer-grained system for comparing educational standards that can broaden categories of resource discovery and retrieval. This study continues our previous use of mathematics education as a domain, because of its generally unambiguous concepts. We adopt a materialization pattern (MP) model developed in our earlier work to represent each standard statement as a verb-phrase graph and a noun-phrase graph; we align a pair of statements using graph matching based on Bloom's Taxonomy, WordNet, and taxonomy of mathematics concepts. Our experiments on data sets of mathematics educational standards show that our proposed system can provide alignment results with a high degree of agreement with domain expert's judgments.

Color Image Retrieval from Database Using Graph Representation (그래프 표현을 이용한 컬러 영상 데이터베이스 검색기법)

  • 박인규;윤일동;이상욱
    • Journal of Broadcast Engineering
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    • v.1 no.1
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    • pp.74-83
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    • 1996
  • In this paper, an effective color image retrieval algorithm is proposed based on the graph representation. Also we propose a color constancy algorithm to remove the effect of illumination change. Illumination condition of an image can be transformed to that of reference image using the proposed color constancy algorithm, so that the effect of dirrerent lighting is significantly alleviated. Then, we represent a color image as a graph with several nodes and edges in the histogram space, and finally two images are matched by compared two graphs representing them. The simulation results show that the proposed 3-step algorithm performs well for various conditions, including different lighting, translation, rotation, and scaling of the object in the image. In addition, the proposed algorithm is very fast compared to the geometry-based matching technique.

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Robust Recognition of 3D Object Using Attributed Relation Graph of Silhouette's (실루엣 기반의 관계그래프 이용한 강인한 3차원 물체 인식)

  • Kim, Dae-Woong;Baek, Kyung-Hwan;Hahn, Hern-Soo
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.7
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    • pp.103-110
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    • 2008
  • This paper presents a new approach of recognizing a 3D object using a single camera, based on the extended convex hull of its silhouette. It aims at minimizing the DB size and simplifying the processes for matching and feature extraction. For this purpose, two concepts are introduced: extended convex hull and measurable region. Extended convex hull consists of convex curved edges as well as convex polygons. Measurable region is the cluster of the viewing vectors of a camera represented as the points on the orientation sphere from which a specific set of surfaces can be measured. A measurable region is represented by the extended convex hull of the silhouette which can be obtained by viewing the object from the center of the measurable region. Each silhouette is represented by a relation graph where a node describes an edge using its type, length, reality, and components. Experimental results are included to show that the proposed algorithm works efficiently even when the objects are overlapped and partially occluded. The time complexity for searching the object model in the database is O(N) where N is the number of silhouette models.

A Study on a Distributed Data Fabric-based Platform in a Multi-Cloud Environment

  • Moon, Seok-Jae;Kang, Seong-Beom;Park, Byung-Joon
    • International Journal of Advanced Culture Technology
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    • v.9 no.3
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    • pp.321-326
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    • 2021
  • In a multi-cloud environment, it is necessary to minimize physical movement for efficient interoperability of distributed source data without building a data warehouse or data lake. And there is a need for a data platform that can easily access data anywhere in a multi-cloud environment. In this paper, we propose a new platform based on data fabric centered on a distributed platform suitable for cloud environments that overcomes the limitations of legacy systems. This platform applies the knowledge graph database technique to the physical linkage of source data for interoperability of distributed data. And by integrating all data into one scalable platform in a multi-cloud environment, it uses the holochain technique so that companies can easily access and move data with security and authority guaranteed regardless of where the data is stored. The knowledge graph database mitigates the problem of heterogeneous conflicts of data interoperability in a decentralized environment, and Holochain accelerates the memory and security processing process on traditional blockchains. In this way, data access and sharing of more distributed data interoperability becomes flexible, and metadata matching flexibility is effectively handled.

An Eulerian Cycle Algorithm for Chinese Postman Problem

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.21 no.7
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    • pp.47-52
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    • 2016
  • This paper introduces an algorithm to construct an Eulerian cycle for Chinese postman problem. The Eulerian cycle is formed only when all vertices in the graph have an even degree. Among available algorithms to the Eulerian cycle problem, Edmonds-Johnson's stands out as the most efficient of its kind. This algorithm constructs a complete graph composed of shortest path between odd-degree vertices and derives the Eulerian cycle through minimum-weight complete matching method, thus running in $O({\mid}V{\mid}^3)$. On the contrary, the algorithm proposed in this paper selects minimum weight edge from edges incidental to each vertex and derives the minimum spanning tree (MST) so as to finally obtain the shortest-path edge of odd-degree vertices. The algorithm not only runs in simple linear time complexity $O({\mid}V{\mid}log{\mid}V{\mid})$ but also obtains the optimal Eulerian cycle, as the implementation results on 4 different graphs concur.

A Study on Multi-Object Tracking, Using The Hungarian Algorithm (Hungarian Algorithm을 이용한 다 개체 추적에 관한 연구)

  • Seo, Young-Wook;Lee, Sang-Geol;Chang, Won-Du;Cha, Eui-Young
    • Proceedings of the Korea Information Processing Society Conference
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    • 2004.05a
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    • pp.777-780
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    • 2004
  • 본 논문은 여러 개체의 생물체 궤적을 효과적으로 추적하기 위해 Hungarian Algorithm을 이용한다. 생물체 궤적 정보와 생물체의 좌표 정보로 Weighted bipartite graph를 구성한다. weight는 궤적 정보와 좌표 정보의 거리, 속도, 각도를 비교하여 계산한다. 구성된 graph를 Hungarian Algorithm로 계산하여 가장 효율적인 matching이 이루어지도록 한다. 실제 생물체를 관찰하고 얻어진 데이터를 이용하여 실험을 하고, 제안한 방법의 효율성을 검증한다.

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Ontology Matching Method for Solving Ontology Heterogeneity Issue (온톨로지 이질성 문제를 해결하기 위한 온톨로지 매칭 방법)

  • Hongzhou Duan;Yongju Lee
    • The Journal of the Korea institute of electronic communication sciences
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    • v.19 no.3
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    • pp.571-576
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    • 2024
  • Ontologies are created by domain experts, but the same content may be expressed differently by each expert due to different understandings of domain knowledge. Since the ontology standardization is still lacking, multiple ontologies can be exist within the same domain, resulting in a phenomenon called the ontology heterogeneity. Therefore, we propose a novel ontology matching method that combines SCBOW(: Siames Continuois Bag Of Words) and BERT(: Bidirectional Encoder Representations from Transformers) models to solve the ontology heterogeneity issue. Ontologies are expressed as a graph and the SimRank algorithm is used to solve the one-to-many problem that can occur in ontology matching problems. Experimental results showed that our approach improves performance by about 8% over traditional matching algorithm. Proposed method can enhance and refine the alignment technology used in ontology matching.

A Study on GUI based Subgraph Generation Tool for Similar Matching in Large Capacity Graphs (대용량 그래프에서의 유사 매칭을 위한 그래픽 사용자 인터페이스 기반 서브 그래프 생성 도구에 대한 연구)

  • Song, Je-O;Hong, Seung-Min;Lee, Sang-Moon
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2018.07a
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    • pp.349-350
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    • 2018
  • 최근 빅데이터를 비롯한 각종 실험 장비의 발전에 따라 첨단 분야에서의 과학데이터가 급격히 증가하고 있는 가운데, 그래프 매칭은 컴퓨터 네트워크 모니터링, 소셜 네트워크의 진화 분석, 생물학 네트워크에서 모티프(motif) 탐지 등 네트워크 분석 및 데이터 마이닝 분야에서 널리 활용되고 있다. 이와 같이, 폭발적으로 증가하는 데이터에 대한 네트워크 모델링 및 유사 그래프 매칭 분석을 수행하기 위한 연구 및 기반 기술 개발은 필수적인 실정이다. 본 논문에서는 이미 확보된 대용량 그래프에서 유사한 형태의 서브 그래프를 매칭할 수 있는 GUI(Graphic User Interface)기반의 생성 도구를 제안한다.

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Facial Feature Tracking and Head Orientation-based Gaze Tracking

  • Ko, Jong-Gook;Kim, Kyungnam;Park, Seung-Ho;Kim, Jin-Young;Kim, Ki-Jung;Kim, Jung-Nyo
    • Proceedings of the IEEK Conference
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    • 2000.07a
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    • pp.11-14
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    • 2000
  • In this paper, we propose a fast and practical head pose estimation scheme fur eye-head controlled human computer interface with non-constrained background. The method we propose uses complete graph matching from thresholded images and the two blocks showing the greatest similarity are selected as eyes, we also locate mouth and nostrils in turn using the eye location information and size information. The average computing time of the image(360*240) is within 0.2(sec) and we employ template matching method using angles between facial features for head pose estimation. It has been tested on several sequential facial images with different illuminating conditions and varied head poses, It returned quite a satisfactory performance in both speed and accuracy.

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