• 대한수학회지
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• 제45권5호
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• pp.1243-1253
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• 2008

In this paper, we construct one-factorizations of given complete graphs of even order. These constructions partition the edges of the complete graph into one-factors and triples. Our new constructions of one-factors and triples can be applied to a recursive construction of Steiner triple systems for all possible orders ${\geq}$15.

• Safety and Health at Work
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• 제12권1호
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• pp.42-50
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• 2021

Introduction: Despite huge investments in new technology and transportation infrastructure, terrible accidents still remain a reality of traffic. Methods: Severe traffic accidents were analyzed from four prevailing modes of today's transportations: sea, air, railway, and road. Main root causes of all four accidents were defined with implementation of the approach, based on Flanagan's critical incident technique. In accordance with Molan's Availability Humanization model (AH model), possible preventive or humanization interventions were defined with the focus on technology, environment, organization, and human factors. Results: According to our analyses, there are significant similarities between accidents. Root causes of accidents, human behavioral patterns, and possible humanization measures were presented with rooted graphs. It is possible to create a generalized model graph, which is similar to rooted graphs, for identification of possible humanization measures, intended to prevent similar accidents in the future. Majority of proposed humanization interventions are focused on organization. Organizational interventions are effective in assurance of adequate and safe behavior. Conclusions: Formalization of root cause analysis with rooted graphs in a model offers possibility for implementation of presented methods in analysis of particular events. Implementation of proposed humanization measures in a particular analyzed situation is the basis for creation of safety culture.

• 한국정보처리학회논문지
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• 제5권11호
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• pp.2823-2834
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• 1998

본 논문에서는 병렬 프로그램을 구성하는 $2^n$개의 타스크 모듈들을 n-차원 하이퍼큐브 다중 컴퓨터에 전체 통신 비용이 최소가 되도록 일대일 매핑하는 문제를 다룬다. 하이퍼큐브에서 최적 매핑을 구한 것은 NP-complete문제이다. 본 논문에서는 먼저 하이퍼큐브 다중 컴퓨터에서의 매핑 문제를 그래프 상에서의 최대 컷세트 집합을 구하는 문제로 변환시키는 그래프 변형 기법을 제안한다. 이러한 그래프 변형 기법을 사용하여 기존의 그래프 이분할 방법을 변형된 그래프 상에 반복 적용함으로써 하이퍼큐브에 타스크 모듈들을 효율적으로 일대일 매핑하는 반복 매핑 알고리즘을 제안한다. 여러가지 타스크그래프 상에서의 실험을 통해, 제안된 반복 매핑 알고리즘이 기존의 greedy나 recursive 매핑 알고리즘들 보다 성능이 우수함을 보인다. 특히 제안된 알고리즘은 하이퍼큐브-isomorphic, 메쉬등과 같은 정형 그래프 상에서 성능이 우수하며 거의 모든 정형 그래프에서 최적 매핑을 찾음을 보인다.

• 한국정보과학회논문지:시스템및이론
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• 제37권1호
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• pp.27-34
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• 2010

웹 크롤러는 웹에서 링크를 따라다니며 웹 페이지들을 자동으로 다운로드하는 프로그램으로 주로 웹 환경을 연구하거나 검색 엔진을 만들기 위해 사용된다. 기존의 연구들에서는 웹 크롤러가 인기 있는 웹 페이지들을 먼저 크롤링 할 수 있도록 몇 가지 방법들이 제안되었으나 그래프 이론 분야에서 연구되어 온 몇몇 그래프 탐색 기법들은 아직 웹 크롤링 방법으로 고려되지 않았다. 이 논문에서는 잘 알려진 너비 우선 탐색, 깊이 우선 탐색 뿐 아니라 사전식 너비 우선 탐색, 사전식 깊이 우선 탐색 및 최대 크기 탐색을 웹 크롤링 방법으로 고려하여 이 중에서 선형적인 시간복잡도를 가지면서도 인기 있는 웹 페이지를 효율적으로 수집할 수 있는 웹 크롤링 방법을 찾는다. 특히 선형 구현이 단순하지 않은 최대 크기 탐색과 사전식 너비 우선 탐색에 대해서는 분할 정제 방법을 이용한 선형 시간 웹 크롤링 방법을 제시한다. 실험 결과는 최대 크기 탐색이 다른 그래프 탐색 방법에 비해 시간 복잡도 및 크롤링 된 페이지들의 질에 있어서 바람직한 성질을 가짐을 보여준다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제12권10호
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• pp.4703-4723
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• 2018

In recent years, dense small cell network has been deployed to address the challenge that has resulted from the unprecendented growth of mobile data traffic and users. It has proven to be a cost efficeient solution to offload traffic from macro-cells. Software defined heterogeneous wireless network can decouple the control plane from the data plane. The control signal goes through the macro-cell while the data traffic can be offloaded by small cells. In this paper, we propose a framework for cell virtualization and user association in order to satisfy versatile requirements of multiple tenants. In the proposed framework, we propose an interference graph partioning based virtual-cell association and customized physical-cell association for multi-homed users in a software defined small cell network. The proposed user association scheme includes 3 steps: initialization, virtual-cell association and physical-cell association. Simulation results show that the proposed virtual-cell association outperforms the other schemes. For physical-cell association, the results on resource utilization and user fairness are examined for mobile users and infrastructure providers.

• 한국인터넷방송통신학회논문지
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• 제24권1호
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• pp.37-42
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• 2024

본 논문은 NP-완전으로 최적 해를 구하는 다항시간 알고리즘이 알려져 있지 않은 절단 폭 최소화 문제에 대해 다항시간 알고리즘을 제안하였다. 주어진 그래프 G=(V,E),m=｜V｜, n=｜E｜ 에 대한 최소 절단 폭 CW_f(G)=max_𝜈∈_VCW_f(𝜈)를 찾기 위해 제안된 알고리즘은 첫 번째로, 최대차수 정점 𝜈_i를 기준으로 N_G[𝜈_i] 정점들을 𝜈_i를 통과하는 간선수가 최소가 되도록 양분하는 열 절단면을 찾고, 좌·우의 N_G[𝜈_i]들 간의 통과 간선수가 최소가 되는 행 절단면으로 분할하였다. 두 번째로, 각 부 그래프 내부의 정점들을 선형으로 연결하고, 부 그래프들 간 간선을 연결하여 하나의 선형 배열을 만들었다. 마지막으로, 정점을 이동시켜 최소 절단폭을 갖는 최적화 과정을 수행하였다. 다양한 그래프들을 대상으로 실험한 결과, 수행 복잡도가 O(n²)인 제안된 알고리즘을 모든 데이터들에 대해 최적 해를 찾을 수 있었다.

• Kyungpook Mathematical Journal
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• 제58권4호
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• pp.747-759
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• 2018

A graph G = (V (G), E(G) of order n = |V (G)| and size m = |E(G)| is said to be odd harmonious if there exists an injection $f:V(G){\rightarrow}\{0,\;1,\;2,\;{\ldots},\;2m-1\}$ such that the induced function $f^*:E(G){\rightarrow}\{1,\;3,\;5,\;{\ldots},\;2m-1\}$ defined by $f^*(uv)=f(u)+f(v)$ is bijection. While a bipartite graph G with partite sets A and B is said to be bigraceful if there exist a pair of injective functions $f_A:A{\rightarrow}\{0,\;1,\;{\ldots},\;m-1\}$ and $f_B:B{\rightarrow}\{0,\;1,\;{\ldots},\;m-1\}$ such that the induced labeling on the edges $f_{E(G)}:E(G){\rightarrow}\{0,\;1,\;{\ldots},\;m-1\}$ defined by $f_{E(G)}(uv)=f_A(u)-f_B(v)$ (with respect to the ordered partition (A, B)), is also injective. In this paper we prove that odd harmonious graphs and bigraceful graphs are equivalent. We also prove that the number of distinct odd harmonious labeled graphs on m edges is m! and the number of distinct strongly odd harmonious labeled graphs on m edges is [m/2]![m/2]!. We prove that the Cartesian product of strongly odd harmonious trees is strongly odd harmonious. We find some new disconnected odd harmonious graphs.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제10권4호
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• pp.1712-1731
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• 2016

In this paper, we propose a novel saliency detection framework via multiple random walks (MRW) which simulate multiple agents on a graph simultaneously. In the MRW system, two agents, which represent the seeds of background and foreground, traverse the graph according to a transition matrix, and interact with each other to achieve a state of equilibrium. The proposed algorithm is divided into three steps. First, an initial segmentation is performed to partition an input image into homogeneous regions (i.e., superpixels) for saliency computation. Based on the regions of image, we construct a graph that the nodes correspond to the superpixels in the image, and the edges between neighboring nodes represent the similarities of the corresponding superpixels. Second, to generate the seeds of background, we first filter out one of the four boundaries that most unlikely belong to the background. The superpixels on each of the three remaining sides of the image will be labeled as the seeds of background. To generate the seeds of foreground, we utilize the center prior that foreground objects tend to appear near the image center. In last step, the seeds of foreground and background are treated as two different agents in multiple random walkers to complete the process of salient object detection. Experimental results on three benchmark databases demonstrate the proposed method performs well when it against the state-of-the-art methods in terms of accuracy and robustness.

• 대한수학회논문집
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• 제27권4호
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• pp.843-849
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• 2012

Let G = (V, E) be a graph with chromatic number ${\chi}(G)$. dominating set D of G is called a chromatic transversal dominating set (ctd-set) if D intersects every color class of every ${\chi}$-partition of G. The minimum cardinality of a ctd-set of G is called the chromatic transversal domination number of G and is denoted by ${\gamma}_{ct}$(G). In this paper we characterize the class of trees, unicyclic graphs and cubic graphs for which the chromatic transversal domination number is equal to the connected domination number.

• 대한수학회지
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• 제51권5호
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• pp.919-940
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• 2014

We conjecture that if $k{\geq}2$ is an integer and G is a graph of order n with minimum degree at least (n+2k)/2, then for any k independent edges $e_1$, ${\cdots}$, $e_k$ in G and for any integer partition $n=n_1+{\cdots}+n_k$ with $n_i{\geq}4(1{\leq}i{\leq}k)$, G has k disjoint cycles $C_1$, ${\cdots}$, $C_k$ of orders $n_1$, ${\cdots}$, $n_k$, respectively, such that $C_i$ passes through $e_i$ for all $1{\leq}i{\leq}k$. We show that this conjecture is true for the case k = 2. The minimum degree condition is sharp in general.