• Title/Summary/Keyword: compressed graph

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GRAPHICAL ARRANGEMENTS OF COMPRESSED GRAPHS

  • Nguyen, Thi A.;Kim, Sangwook
    • Honam Mathematical Journal
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    • v.36 no.1
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    • pp.85-102
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    • 2014
  • We show that if a graph G is compressed, then the proper part of the intersection poset of the corresponding graphical arrangement $A_G$ has the homotopy type of a wedge of spheres. Furthermore, we also indicate the number of spheres in the wedge, based on the number of adjacent edges of vertices in G.

An Alternative Perspective of Near-rings of Polynomials and Power series

  • Shokuhifar, Fatemeh;Hashemi, Ebrahim;Alhevaz, Abdollah
    • Kyungpook Mathematical Journal
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    • v.62 no.3
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    • pp.437-453
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    • 2022
  • Unlike for polynomial rings, the notion of multiplication for the near-ring of polynomials is the substitution operation. This leads to somewhat surprising results. Let S be an abelian left near-ring with identity. The relation ~ on S defined by letting a ~ b if and only if annS(a) = annS(b), is an equivalence relation. The compressed zero-divisor graph 𝚪E(S) of S is the undirected graph whose vertices are the equivalence classes induced by ~ on S other than [0]S and [1]S, in which two distinct vertices [a]S and [b]S are adjacent if and only if ab = 0 or ba = 0. In this paper, we are interested in studying the compressed zero-divisor graphs of the zero-symmetric near-ring of polynomials R0[x] and the near-ring of the power series R0[[x]] over a commutative ring R. Also, we give a complete characterization of the diameter of these two graphs. It is natural to try to find the relationship between diam(𝚪E(R0[x])) and diam(𝚪E(R0[[x]])). As a corollary, it is shown that for a reduced ring R, diam(𝚪E(R)) ≤ diam(𝚪E(R0[x])) ≤ diam(𝚪E(R0[[x]])).

Graph Compression by Identifying Recurring Subgraphs

  • Ahmed, Muhammad Ejaz;Lee, JeongHoon;Na, Inhyuk;Son, Sam;Han, Wook-Shin
    • Proceedings of the Korea Information Processing Society Conference
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    • 2017.04a
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    • pp.816-819
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    • 2017
  • Current graph mining algorithms suffers from performance issues when querying patterns are in increasingly massive network graphs. However, from our observation most data graphs inherently contains recurring semantic subgraphs/substructures. Most graph mining algorithms treat them as independent subgraphs and perform computations on them redundantly, which result in performance degradation when processing massive graphs. In this paper, we propose an algorithm which exploits these inherent recurring subgraphs/substructures to reduce graph sizes so that redundant computations performed by the traditional graph mining algorithms are reduced. Experimental results show that our graph compression approach achieve up to 69% reduction in graph sizes over the real datasets. Moreover, required time to construct the compressed graphs is also reasonably reduced.

Delayed Reduction Algorithms of DJ Graph using Path Compression (경로 압축을 이용한 DJ 그래프의 지연 감축 알고리즘)

  • Sim, Son-Kwon;Ahn, Heui-Hak
    • The KIPS Transactions:PartA
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    • v.9A no.2
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    • pp.171-180
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    • 2002
  • The effective and accurate data flow problem analysis uses the dominator tree and DJ graphs. The data flow problem solving is to safely reduce the flow graph to the dominator tree. The flow graph replaces a parse tree and used to accurately reduce either reducible or irreducible flow graph to the dominator tree. In this paper, in order to utilize Tarian's path compress algorithm, the Top node finding algorithm is suggested and the existing delay reduction algorithm is improved using Path compression. The delayed reduction a1gorithm using path compression actually compresses the pathway of the dominator tree by hoisting the node while reducing to delay the DJ graph. Realty, the suggested algorithm had hoisted nodes in 22% and had compressed path in 20%. The compressed dominator tree makes it possible to analyze the effective data flow analysis and brings the improved effect for the complexity of code optimization process with the node hoisting effect of code optimization process.

A time-cost tradeoff problem with multiple interim assessments under the precedence graph with two chains in parallel

  • Choi, Byung-Cheon;Min, Yunhong
    • Journal of the Korea Society of Computer and Information
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    • v.23 no.3
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    • pp.85-92
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    • 2018
  • We consider a project scheduling problem in which the jobs can be compressed by using additional resource to meet the corresponding due dates, referred to as a time-cost tradeoff problem. The project consists of two independent subprojects of which precedence graph is a chain. The due dates of jobs constituting the project can be interpreted as the multiple assessments in the life of project. The penalty cost occurs from the tardiness of the job, while it may be avoided through the compression of some jobs which requires an additional cost. The objective is to find the amount of compression that minimizes the total tardy penalty and compression costs. Firstly, we show that the problem can be decomposed into several subproblems whose number is bounded by the polynomial function in n, where n is the total number of jobs. Then, we prove that the problem can be solved in polynomial time by developing the efficient approach to obtain an optimal schedule for each subproblem.

Multiple Description Coding of 3-D Data (3차원 데이터의 다중 부호화 기법)

  • Park, Sung-Bum;Kim, Chang-Su;Lee, Sang-Uk
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.9C
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    • pp.840-848
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    • 2007
  • A multiple description coding (MDC) scheme for 3-D Data is presented. First, a plane-based 3-D data is split into two descriptions, each of which has identical contribution in 3-D surface reconstruction. In order to maximize the visual quality of reconstructed 3-D data, then, plane parameters are modified according to channel error condition. Finally, these descriptions are compressed and transmitted over distinct channels. In decoder, if two descriptions are available, we reconstruct a high quality 3-D data. If only one description is transmitted, however, 3-D surface recovery scheme reduces artifacts on erroneous 3-D surface, yielding a smooth 3-D surface. Therefore, the proposed algorithm guarantees acceptable quality reconstruction of 3-D data even though one channel is totally lost.

Dependent Quantization for Scalable Video Coding

  • Pranantha, Danu;Kim, Mun-Churl;Hahm, Sang-Jin;Lee, Keun-Sik;Park, Keun-Soo
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2006.11a
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    • pp.127-132
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    • 2006
  • Quantization in video coding plays an important role in controlling the bit-rate of compressed video bit-streams. It has been used as an important control means to adjust the amount of bit-streams to at]owed bandwidth of delivery networks and storage. Due to the dependent nature of video coding, dependent quantization has been proposed and applied for MPEG-2 video coding to better maintain the quality of reconstructed frame for given constraints of target bit-rate. Since Scalable Video Coding (SVC) being currently standardized exhibits highly dependent coding nature not only between frames but also lower and higher scalability layers where the dependent quantization can be effectively applied, in this paper, we propose a dependent quantization scheme for SVC and compare its performance in visual qualities and bit-rates with the current JSVM reference software for SVC. The proposed technique exploits the frame dependences within each GOP of SVC scalability layers to formulate dependent quantization. We utilize Lagrange optimization, which is widely accepted in R-D (rate-distortion) based optimization, and construct trellis graph to find the optimal cost path in the trellis by minimizing the R-D cost. The optimal cost path in the trellis graph is the optimal set of quantization parameters (QP) for frames within a GOP. In order to reduce the complexity, we employ pruning procedure using monotonicity property in the trellis optimization and cut the frame dependency into one GOP to decrease dependency depth. The optimal Lagrange multiplier that is used for SVC is equal to H.264/AVC which is also used in the mode prediction of the JSVM reference software. The experimental result shows that the dependent quantization outperforms the current JSVM reference software encoder which actually takes a linear increasing QP in temporal scalability layers. The superiority of the dependent quantization is achieved up to 1.25 dB increment in PSNR values and 20% bits saving for the enhancement layer of SVC.

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A QoS-aware Adaptive Coloring Scheduling Algorithm for Co-located WBANs

  • Wang, Jingxian;Sun, Yongmei;Luo, Shuyun;Ji, Yuefeng
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.12
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    • pp.5800-5818
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    • 2018
  • Interference may occur when several co-located wireless body area networks (WBANs) share the same channel simultaneously, which is compressed by resource scheduling generally. In this paper, a QoS-aware Adaptive Coloring (QAC) scheduling algorithm is proposed, which contains two components: interference sets determination and time slots assignment. The highlight of QAC is to determine the interference graph based on the relay scheme and adapted to the network QoS by multi-coloring approach. However, the frequent resource assignment brings in extra energy consumption and packet loss. Thus we come up with a launch condition for the QAC scheduling algorithm, that is if the interference duration is longer than a threshold predetermined, time slots rescheduling is activated. Furthermore, based on the relative distance and moving speed between WBANs, a prediction model for interference duration is proposed. The simulation results show that compared with the state-of-the-art approaches, the QAC scheduling algorithm has better performance in terms of network capacity, average delay and resource utility.

Gaseous Fuel Level Measurement of Ultrasonic Wave based on Gauss Algorithm (가우스알고리즘에 의한 초음파의 가스연료레벨 계측)

  • Kim, Hong-Ju;Choi, Doo-Seuk
    • Journal of the Korea Convergence Society
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    • v.9 no.4
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    • pp.161-167
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    • 2018
  • The amount of CNG was measured using a pressure sensor in the case of CNG vehicles. However, the current measurement method causes anxiety to the driver because it is difficult to measure the detailed amount of CNG according to various environmental conditions. This study was performed to measure the amount of CNG in CNG fuel system, and presented the method of measurement by simulating the detection system of CNG. In this experiment, a detection simulator with an ultrasonic sensor in CNG tank of Type-3 was designed, and the reception signal of the ultrasonic sensor was verified by reducing the pressure from 100 bars to 0 bars (increment=5 bars) using compressed air. As a result, the output signal voltage of the ultrasonic sensor decreased as the pressure in the tank decreased, and the it was verified that the shape of the graph was linearity.