• Title/Summary/Keyword: order of a graph

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A Scheduling Algorithm Using the Interval Graph (구간 그래프를 이용한 스케쥴링 알고리듬)

  • 김기현;정정화
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.1
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    • pp.84-92
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    • 1994
  • In this paper, we present a novel scheduling algorithm using the weighted interval graph. An interval graph is constructed, where an interval is a time frame of each operation. And for each operation type, we look for the maximum clique of the interval graph: the number of nodes of the maximum clique represents the number of operation that are executed concurrently. In order to minimize resource cost. we select the operation type to reduce the number of nodes of a maximum clique. For the selected operation type, an operation selected by selection rule is moved to decrease the number of nodes of a maximum clique. A selected operation among unscheduled operations is moved repeatly and assigned to a control step consequently. The proposed algorithm is applied to the pipeline and the nonpipeline data path synthesis. The experiment for examples shows the efficiency of the proposed scheduling algorithm.

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Finger Vein Recognition Based on Multi-Orientation Weighted Symmetric Local Graph Structure

  • Dong, Song;Yang, Jucheng;Chen, Yarui;Wang, Chao;Zhang, Xiaoyuan;Park, Dong Sun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.10
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    • pp.4126-4142
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    • 2015
  • Finger vein recognition is a biometric technology using finger veins to authenticate a person, and due to its high degree of uniqueness, liveness, and safety, it is widely used. The traditional Symmetric Local Graph Structure (SLGS) method only considers the relationship between the image pixels as a dominating set, and uses the relevant theories to tap image features. In order to better extract finger vein features, taking into account location information and direction information between the pixels of the image, this paper presents a novel finger vein feature extraction method, Multi-Orientation Weighted Symmetric Local Graph Structure (MOW-SLGS), which assigns weight to each edge according to the positional relationship between the edge and the target pixel. In addition, we use the Extreme Learning Machine (ELM) classifier to train and classify the vein feature extracted by the MOW-SLGS method. Experiments show that the proposed method has better performance than traditional methods.

Optimal Solution Algorithm for Delivery Problem on Graphs

  • Lee, Kwang-Eui
    • Journal of the Korea Society of Computer and Information
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    • v.26 no.3
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    • pp.111-117
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    • 2021
  • The delivery problem on a graph is that of minimizing the object delivery time from one vertex to another vertex on a graph with m vertices using n various speed robot agents. In this paper, we propose two optimal solution algorithms for the delivery problem on a graph with time complexity of O(㎥n) and O(㎥). After preprocessing to obtain the shortest path for all pairs of the graph, our algorithm processed by obtaining the shortest delivery path in the order of the vertices with the least delivery time. Assuming that the graph reflects the terrain on which to solve the problem, our O(㎥) algorithm actually has a time complexity of O(㎡n) as only one preprocessing is required for the various deployment of n robot agents.

Comparison of Objective Functions for Feed-forward Neural Network Classifiers Using Receiver Operating Characteristics Graph

  • Oh, Sang-Hoon;Wakuya, Hiroshi
    • International Journal of Contents
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    • v.10 no.1
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    • pp.23-28
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    • 2014
  • When developing a classifier using various objective functions, it is important to compare the performances of the classifiers. Although there are statistical analyses of objective functions for classifiers, simulation results can provide us with direct comparison results and in this case, a comparison criterion is considerably critical. A Receiver Operating Characteristics (ROC) graph is a simulation technique for comparing classifiers and selecting a better one based on a performance. In this paper, we adopt the ROC graph to compare classifiers trained by mean-squared error, cross-entropy error, classification figure of merit, and the n-th order extension of cross-entropy error functions. After the training of feed-forward neural networks using the CEDAR database, the ROC graphs are plotted to help us identify which objective function is better.

ON THE FIXING NUMBER OF FUNCTIGRAPHS

  • Fazil, Muhammad;Javaid, Imran;Murtaza, Muhammad
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.1
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    • pp.171-181
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    • 2021
  • The fixing number of a graph G is the smallest order of a subset S of its vertex set V (G) such that the stabilizer of S in G, ��S(G) is trivial. Let G1 and G2 be the disjoint copies of a graph G, and let g : V (G1) → V (G2) be a function. A functigraph FG consists of the vertex set V (G1) ∪ V (G2) and the edge set E(G1) ∪ E(G2) ∪ {uv : v = g(u)}. In this paper, we study the behavior of fixing number in passing from G to FG and find its sharp lower and upper bounds. We also study the fixing number of functigraphs of some well known families of graphs like complete graphs, trees and join graphs.

DOMINATION IN GRAPHS WITH MINIMUM DEGREE SIX

  • Jianxiang, Cao;Minyong, Shi;Sohn, Moo-Young;Xudong, Yuan
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.1085-1100
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    • 2008
  • A set D of vertices of a graph G = (V(G),E(G)) is called a dominating set if every vertex of V(G) - D is adjacent to at least one element of D. The domination number of G, denoted by ${\gamma}(G)$, is the size of its smallest dominating set. Haynes et al.[5] present a conjecture: For any graph G with ${\delta}(G){\geq}k$,$\gamma(G){\leq}\frac{k}{3k-1}n$. When $k\;{\neq}\;6$, the conjecture was proved in [7], [8], [10], [12] and [13] respectively. In this paper we prove that every graph G on n vertices with ${\delta}(G)\;{\geq}\;6$ has a dominating set of order at most $\frac{6}{17}n$. Thus the conjecture was completely proved.

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A Study about Learning Graph Representation on Farmhouse Apple Quality Images with Graph Transformer (그래프 트랜스포머 기반 농가 사과 품질 이미지의 그래프 표현 학습 연구)

  • Ji Hun Bae;Ju Hwan Lee;Gwang Hyun Yu;Gyeong Ju Kwon;Jin Young Kim
    • Smart Media Journal
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    • v.12 no.1
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    • pp.9-16
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    • 2023
  • Recently, a convolutional neural network (CNN) based system is being developed to overcome the limitations of human resources in the apple quality classification of farmhouse. However, since convolutional neural networks receive only images of the same size, preprocessing such as sampling may be required, and in the case of oversampling, information loss of the original image such as image quality degradation and blurring occurs. In this paper, in order to minimize the above problem, to generate a image patch based graph of an original image and propose a random walk-based positional encoding method to apply the graph transformer model. The above method continuously learns the position embedding information of patches which don't have a positional information based on the random walk algorithm, and finds the optimal graph structure by aggregating useful node information through the self-attention technique of graph transformer model. Therefore, it is robust and shows good performance even in a new graph structure of random node order and an arbitrary graph structure according to the location of an object in an image. As a result, when experimented with 5 apple quality datasets, the learning accuracy was higher than other GNN models by a minimum of 1.3% to a maximum of 4.7%, and the number of parameters was 3.59M, which was about 15% less than the 23.52M of the ResNet18 model. Therefore, it shows fast reasoning speed according to the reduction of the amount of computation and proves the effect.

Eye Movement Analysis on Elementary Teachers' Understanding Process of Science Textbook Graphs (초등 교사들의 과학교과서 그래프 이해 과정에 대한 안구 운동 분석)

  • Shin, Wonsub;Shin, Dong-Hoon
    • Journal of Korean Elementary Science Education
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    • v.31 no.3
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    • pp.386-397
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    • 2012
  • The purpose of this study was to find a way to improve the science textbook graph through analyzing teachers' interpretation process with eye movement tracking when they try to read the science textbook graph. Participants in this project were 10 elementary school teachers while bar graphs, line graphs, pie charts in 2007 revision science textbooks were used as materials. SMI (SensoMotoric Instruments)' iView X TM RED 120 Hz was used in order to collect eye movement data. Although subjects paid attention to the title of the graph at first, the consequence of the eye fixation was changed by the composition of the graph in case of the rest of areas. In particular, the flow of visual attention and fixation time were affected by the form and configuration of the graph. The diversity of graph construction caused confusion in interpreting graphs; the manner of presenting title, the difference of background colors, size of characters, the name of X-axis and Y-axis. Out results showed that the conformation of graphs as well as the presentation of each factor should be composed in accordance with the educational purpose for helping users to easier understanding.

Cooperation with Ground and Arieal Vehicles for Multiple Tasks: Decentralized Task Assignment and Graph Connectivity Control (지상 로봇의 분산형 임무할당과 무인기의 네트워크 연결성 추정 및 제어를 통한 협업)

  • Moon, Sung-Won;Kim, Hyoun-Jin
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.3
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    • pp.218-223
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    • 2012
  • Maintenance and improvement of the graph connectivity is very important for decentralized multi-agent systems. Although the CBBA (Consensus-Based Bundle Algorithm) guarantees suboptimal performance and bounded convergence time, it is only valid for connected graphs. In this study, we apply a decentralized estimation procedure that allows each agent to track the algebraic connectivity of a time-varying graph. Based on this estimation, we design a decentralized gradient controller to maintain the graph connectivity while agents are traveling to perform assigned tasks. Simulation result for fully-actuated first-order agents that move in a 2-D plane are presented.

A Study on Digital Image Processing Algorithm for Area Measurement of an Object Image by the Hierarchical Angle-Distance Graphs (계층적 각-거리 그래프를 이용한 물체 면적 측정을 위한 디지털 영상처리 알고리즘에 관한 연구)

  • Kim Woong-Ki;Ra Sung-Woong;Lee Jung-Won
    • The KIPS Transactions:PartB
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    • v.13B no.2 s.105
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    • pp.83-88
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    • 2006
  • Digital image processing algorithm was proposed to measure the area inside of an object image using angle-distance graph used to analyze the pattern of an object in the digital image processing techniques. The first angle-distance graph is generated from a point inside of an object area. The second angle-distance graphs are generated for the areas missed in the first graph by extracting the positions with large gradient in the first angle-distance graph. The order of the graph increases according to the complexity of an object pattern. Size of the area inside of an object boundary is measured by integrating square of distance multiplied by angle for each area from the hierarchical angie-distance graphs.