• Title/Summary/Keyword: Graph theory

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Synthesis of Asynchronous Circuits from Deterministic Signal Transition Graph with Timing Constraints (시간 제한 조건을 가진 결정성 신호 전이 그래프로부터 비동기 회로의 합성)

  • Kim, Hee-Sook;Jung, Sung-Tae
    • Journal of KIISE:Computer Systems and Theory
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    • v.27 no.2
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    • pp.216-226
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    • 2000
  • This paper presents a new method to synthesize timed asynchronous circuits directly from the specification without generating a state graph. The synthesis procedure begins with a deterministic signal transition graph specification with timing constraints. First, a timing analysis extracts the timed concurrency and timed causality relations between any two signal transitions. Then, a hazard-free implementation under the timing constraints is synthesized by constructing a precedence graph and finding paths in the graph. The major result of this work is that the method does not suffer from the state explosion problem, achieves significant reductions in synthesis time, and generates circuits that have nearly the same area as compared to previous methods.

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CERTAIN GENERALIZED THORN GRAPHS AND THEIR WIENER INDICES

  • Kathiresan, KM.;Parameswaran, C.
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.793-807
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    • 2012
  • If G is any connected graph of order p; then the thorn graph $G_p^*$ with code ($n_1$, $n_2$, ${\cdots}$, $n_p$) is obtained by adding $n_i$ pendent vertices to each $i^{th}$ vertex of G. By treating the pendent edge of a thorn graph as $P_2$, $K_2$, $K_{1,1}$, $K_1{\circ}K_1$ or $P_1{\circ}K_1$, we generalize a thorn graph by replacing $P_2$ by $P_m$, $K_2$ by $K_m$, $K_{1,1}$ by $K_{m,n}$, $K_1{\circ}K_1$ by $K_m{\circ}K_1$ and $P_1{\circ}K_1$ by $P_m{\circ}K_1$ and their respective generalized thorn graphs are denoted by $G_P$, $G_K$, $G_B$, $G_{KK}$ and $G_{PK}$ respectively. Many chemical compounds can be treated as $G_P$, $G_K$, $G_B$, $G_{KK}$ and $G_{PK}$ of some graphs in graph theory. In this paper, we obtain the bounds of the wiener index for these generalization of thorn graphs.

A Representation for Multithreaded Data-parallel Programs : PCFG(Parallel Control Flow Graph) (다중스레드 데이타 병렬 프로그램의 표현 : PCFG(Parallel Control Flow Graph))

  • 김정환
    • Journal of KIISE:Computer Systems and Theory
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    • v.29 no.12
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    • pp.655-664
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    • 2002
  • In many data-parallel applications massive parallelism can be easily extracted through data distribution. But it often causes very long communication latency. This paper shows that task parallelism, which is extracted from data-parallel programs, can be exploited to hide such communication latency Unlike the most previous researches over exploitation of task parallelism which has not been considered together with data parallelism, this paper describes exploitation of task parallelism in the context of data parallelism. PCFG(Parallel Control Flow Graph) is proposed to represent a multithreaded program consisting of a few task threads each of which can include a few data-parallel loops. It is also described how a PCFG is constructed from a source data-parallel program through HDG(Hierarchical Dependence Graph) and how the multithreaded program can be constructed from the PCFG.

Analysis on Correlation between Prescriptions and Test Results of Diabetes Patients using Graph Models and Node Centrality (그래프 모델과 중심성 분석을 이용한 당뇨환자의 처방 및 검사결과의 상관관계 분석)

  • Yoo, Kang Min;Park, Sungchan;Rhee, Su-jin;Yu, Kyung-Sang;Lee, Sang-goo
    • KIISE Transactions on Computing Practices
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    • v.21 no.7
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    • pp.482-487
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    • 2015
  • This paper presents the results and the process of extracting correlations between events of prescriptions and examinations using graph-modeling and node centrality measures on a medical dataset of 11,938 patients with diabetes mellitus. As the data is stored in relational form, RDB2Graph framework was used to construct effective graph models from the data. Personalized PageRank was applied to analyze correlation between prescriptions and examinations of the patients. Two graph models were constructed: one that models medical events by each patient and another that considers the time gap between medical events. The results of the correlation analysis confirm current medical knowledge. The paper demonstrates some of the note-worthy findings to show the effectiveness of the method used in the current analysis.

Joint Polarization and Frequency Assignment Algorithm Based on Graph Theory (그래프 이론 기반의 편파 및 주파수 지정 알고리즘)

  • Koo, Bonhong;Chae, Chan-Byoung;Park, Sung-Ho;Park, Hwi-Sung;Ham, Jae-Hyun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.8
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    • pp.954-957
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    • 2016
  • In cases of military communication plan, it often requires to find a proper solution for frequency assignment within feasible time. Minimizing the number of used resources are related to cost issue, hence it is a critical objective. When the dual polar antenna is used, the performance can be much developed by exploiting the polarization separation. In this paper, we propose an algorithm that assigns polarizations and frequencies within complexity of $O(N^2)$ based on the graph matching theory. We have verified that the proposed algorithm shows almost twice performance relative to the uni-polar frequency assignment algorithms and it approaches very closely to its theoretical optima.

Quantitative Analysis of Seoul Green Space Network with the Application of Graph Theory (그래프 이론을 적용한 서울시 녹지 연결망의 정량적 분석)

  • Kang, Wan-Mo;Park, Chan-Ryul
    • Korean Journal of Environment and Ecology
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    • v.25 no.3
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    • pp.412-420
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    • 2011
  • This study was conducted to quantitatively analyze the temporal change of green space network at multi-scales from 1975 to 2006 with the application of graph theory in Seoul, Korea. Remarkable change of connectivity was detected in green space networks at the scale ranging from 1,000 ~ 1,600 m during 30 years. Green spaces and their networks have been restoring after 1990 since forest areas had been fragmented in 1975. In 2006, we identified the important core habitat areas that can sustain diverse wildlife species and stepping stones composed of small patches that can link these core habitat areas. Green spaces showed high correlation with the relative importance value of green space connectivity. So, this study could graphically represent green space networks of Seoul City. Green spaces of core areas distributed at the northern and southern boundary, and those of stepping stones possessing the high value of betweenness centrality consisted at the middle, eastern and western boundary. These results indicate that green space network can be graphically and quantitatively explained by degree centrality, betweenness centrality and relative importance value of connectivity with the application of graph theory.

Development for Wetland Network Model in Nakdong Basin using a Graph Theory (그래프이론을 이용한 낙동강 유역의 습지네트워크 구축모델 개발)

  • Rho, Paikho
    • Journal of Wetlands Research
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    • v.15 no.3
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    • pp.397-406
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    • 2013
  • Wetland conservation plan has been established to protect ecologically important wetlands based on vegetation integrity, spatial distribution of endangered species, but recently more demands are concentrated on the landscape ecological approaches such as topological relationship, neighboring area, spatial arrangements between wetlands at the broad scale. Landscape ecological analysis and graph theory are conducted to identify spatial characteristics related to core nodes and weak links of wetland networks in Nakdong basin. Regular planar model, which is selected for wetland networks, is applied in the Nakdong basin. The analysis indicates that 5 regional groups and 4 core wetlands are extracted with 15km threshold distance. The IIC and PC values based on the binary and probability models suggest that the wetland group C composed of main stream of Nakdong river and Geumho river is the most important area for wetland network. Wetland conservation plan, restoration projected of damaged and weak links between wetlands should be proposed through evaluating the node, links, and networks from wetlands at the local to the regional scale in Nakdong basin.

Adaptive Learning Path Recommendation based on Graph Theory and an Improved Immune Algorithm

  • BIAN, Cun-Ling;WANG, De-Liang;LIU, Shi-Yu;LU, Wei-Gang;DONG, Jun-Yu
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.5
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    • pp.2277-2298
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    • 2019
  • Adaptive learning in e-learning has garnered researchers' interest. In it, learning resources could be recommended automatically to achieve a personalized learning experience. There are various ways to realize it. One of the realistic ways is adaptive learning path recommendation, in which learning resources are provided according to learners' requirements. This paper summarizes existing works and proposes an innovative approach. Firstly, a learner-centred concept map is created using graph theory based on the features of the learners and concepts. Then, the approach generates a linear concept sequence from the concept map using the proposed traversal algorithm. Finally, Learning Objects (LOs), which are the smallest concrete units that make up a learning path, are organized based on the concept sequences. In order to realize this step, we model it as a multi-objective combinatorial optimization problem, and an improved immune algorithm (IIA) is proposed to solve it. In the experimental stage, a series of simulated experiments are conducted on nine datasets with different levels of complexity. The results show that the proposed algorithm increases the computational efficiency and effectiveness. Moreover, an empirical study is carried out to validate the proposed approach from a pedagogical view. Compared with a self-selection based approach and the other evolutionary algorithm based approaches, the proposed approach produces better outcomes in terms of learners' homework, final exam grades and satisfaction.

Ship block assembly modeling based on the graph theory (그래프 이론을 기반으로 한 선박의 블록 어셈블리 모델링)

  • Hag-Jong Jo;Kyu-Yeul Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.38 no.2
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    • pp.79-86
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    • 2001
  • This study shows an attempt to generate an assembly sequence and its model for a ship block assembly using the graph theory and graph algorithms. To generate the ship block assembly, we propose four levels of the ship block assembly model such as "geometry mode1", "relational model", "sequential mode1", and "hierarchical model". To obtain the relational model, we used surface and surface intersection algorithm. The sequential model that represents a possible assembly sequence is made by using several graph algorithms from the relational model. The hierarchical model will be constructed from the sequential model in order to represent the block assembly tree and so forth. The purpose of the hierarchical model is to define an assembly tree and to generate the Bill Of Material(BOM). Lastly, the validity of the method proposed in this study is examined with application to ship block assembly models of a single type and double type according to four models mentioned above.

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