• 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.

• Journal of the Korean Academy of Child and Adolescent Psychiatry
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• 제34권3호
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• pp.169-174
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• 2023

Objectives: Oppositional defiant disorder (ODD) is often comorbid with other psychiatric disorders in childhood. This study aimed to investigate comorbid psychiatric symptoms and associated factors in elementary school children with symptoms of ODD. Methods: The participants consisted of 205 mother-offspring pairs. Psychiatric symptoms were measured using the Diagnostic Predictive Scales and Korean Child Behavior Checklist. Psychiatric comorbid symptoms were compared between children with ODD symptom and those without ODD symptom. Multivariate logistic regression analysis was used to estimate the odds ratio of psychiatric symptom on ODD. Results: ODD group had a significant association with internalizing and externalizing problem (p=0.001, p<0.001, respectively). ODD group were more comorbid with anxiety disorder, depressive disorder, attention-deficit/hyperactivity disorder, and conduct disorder. Among psychiatric disorder, generalized anxiety disorder (GAD) (adjusted odds ratio [AOR]=18.620, p<0.001) and conduct disorder (AOR=9.529, p=0.014) were associated with ODD symptom. Conclusion: These findings suggest that children with ODD symptom had significantly higher rates of comorbid psychiatric symptoms. And GAD and conduct disorder are related to ODD symptom.

• 한국ITS학회 논문지
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• 제22권2호
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• pp.195-211
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• 2023

자율주행자동차(Automated Vehicle, AV)의 상용화를 위해서는 ADS의 운행가능영역(Operational Design Domain, ODD)이 명확하게 정의되어야 하며, AV 관련 이해관계자들이 ODD에 대해 모두가 동일한 기준을 가지고 동일한 수준으로 이해할 수 있도록 공통된 언어와 일관된 양식이 마련되어야 한다. 따라서, 국외에서는 표준화된 ODD 프레임워크를 제시하고, ODD를 기반으로 ADS 특정 기능을 평가할 수 있는 시나리오 개발에 박차를 가하고 있다. 하지만, ODD는 도로환경, 기상환경, 교통환경 등 해당 국가별 특성이 반영된 조건이 포함되기 때문에 국외에서 정의된 항목을 그대로 적용하는 것이 아니라, 그 항목의 의미를 명확히 이해하고 국내의 여건을 반영하여 이를 정합화할 필요가 있다. 따라서, 본 연구에서는 국제표준을 기반으로 국내 주행환경을 분석하여 ODD 분류 체계 국내 최적화를 수행하였으며, 개발된 국내 ODD 항목을 기반으로 현재 운영 중인 자율주행차 시범운행지구(서울 상암, 광주)의 주행환경을 조사하고 그 결과를 바탕으로 시험운행지구별 ODD의 범위를 비교하였다.

• 한국ITS학회 논문지
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• 제21권5호
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• pp.197-217
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• 2022

자율주행자동차(Automated vehicle, AV) 교통사고가 지속적으로 발생하면서 자율주행시스템(automated driving system, ADS)의 안전성 및 신뢰성을 확보하기 위한 안전성 검증의 중요성이 강조되고 있다. 안전성 및 신뢰성을 확보하기 위해서는 ADS의 운행가능영역(operational design domain, ODD)을 정의하고 ODD를 벗어나는 상황에서의 대응 능력을 평가하면서 ADS의 안전성을 검증해야 할 필요가 있다. 이를 위해 SAE, BSI, NHTSA, ISO 등의 국제 기구에서는 ODD 분류 기준 및 표준을 규정하고 있으나 국내의 경우 ODD 기준이 부재하여 AV의 ODD 표현 방법 및 안전성 검증 및 평가가 적절히 이루어지지 않고 있다. 이에 본 연구에서는 해외 ODD 분류 기준을 분석하고 안전성 검증 및 평가에 적합한 분류 기준을 선정하였다. 선정된 ODD를 기반으로 ADS 안전성 검증 및 평가에 필요한 평가요소를 제시하였다. 특히, ADS 기술 개발을 지원하는 자율주행 실험도시(K-City)의 평가환경을 분석하여 평가요소를 제시하였다.

• 한국지역사회생활과학회지
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• 제16권1호
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• pp.89-103
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• 2005

Recently the rural Korea has been remarkedly changed of family and social value in accordance with the development of industry. The lower economic class made by social economic growth is widespread with increasing aged, specially odd pair family in rural. The purpose of this study was to investigate to help and keep improve health of rural lower economic class, family system by comparing and analyzing the dietary management, between pair and odd pair family, and to get the data helpful the right guidance for rural. The subjects 1870 collected in 9 provinces by sampling with probability proportional to size (PPS). Questionnaire about dietary habit, food cultivation, production and preservation survey was conducted by trained interviewers. The main results were as follows : 1) The characteristics of odd pair families, head of household was female(77%), over 65 years(84.9%), small family(1.76 persons) and lower education(male 7.5 years, female 3.1 years) status. 2) As the states of diets of odd pair family, having breakfast(87.1 %) but one or two kinds of side dishes(31.3 %) only possible to guess lower status of food intake balance. Nutritional supplements(21. 7 %) was lower than that of paired family. 3) The aspects of dietary habit of odd pair family, no instant foods(70.7%), no snack(38.4%) no dine out(69.2%) were common. 4) Dietary habit scores were 7.78 points of odd pair family compared 8.34 points of paired family. 5) Food purchase place of odd pair family was market(44.2%) but super-market(42.7%) of paired family. 6)In odd pair family, seldom traditional dish preparation(62.0%) but prepared winter kimchi(81.9%), comparing seldom traditional dish(38.6%) and winter kimchi(96.4%) in paired family. 7)The food cultivation state was surveyed, pepper( 42.2 %) and chinese cabbage( 43.9 %) were consumed after cultivation, but sesame(59.4%), bean sprout(90.2%), tofu(92.8%) and egg(93.3%) were consumed by purchase in odd pair family.8) Food cultivation score of odd pair family was 2.98/12points significantly lower than 4.50/12 points of paired family(p<0.01). 9) At the status of fermentation food production in odd pair family, Duenjang(72.1 %) and Gochujang(69.7%) Kanjang(68.3%) Kimchi(82.1 %) and Meju(68.3%) were high rate of production, but more frequently producted in pair family. 10) The score of fermentation food production of odd pair family was 8.57/12points but significantly lower than 10.24/12 points of pair family(p<0.0001). 11) Food preservation score 0.48/6 points in odd pair family was not significantly different than that of pair family(1.07/6points).

• Journal of applied mathematics & informatics
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• 제30권5_6호
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• pp.913-923
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• 2012

The Odd-Even graceful labeling of a graph G with $q$ edges means that there is an injection $f:V (G)$ to $\{1,3,5,{\cdots},2q+1\}$ such that, when each edge $uv$ is assigned the label ${\mid}f(u)-f(v){\mid}$, the resulting edge labels are $\{2,4,6,{\cdots},2q\}$. A graph which admits an odd-even graceful labeling is called an odd-even graceful graph. In this paper, we prove that some well known graphs namely $P_n$, $P_n^+$, $K_{1,n}$, $K_{1,2,n}$, $K_{m,n}$, $B_{m,n}$ are Odd-Even graceful.

• 한국정보과학회논문지:시스템및이론
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• 제36권5호
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• pp.344-350
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• 2009

본 논문에서는 오드 연결망을 기반으로 하는 새로운 상호연결망, 계층적 오드 연결망 HON($C_d,C_d$)을 제안한다. 그리고 HON($C_d,C_d$)의 여러 가지 망성질(연결도, 라우팅 알고리즘, 지름, 방송 등)을 분석한다. 본 논문에서 제안한 HON($C_d,C_d$)가 오드 연결망과 HCN(m,m), HFN(m,m)보다 우수한 연결망임을 보인다.

• 대한수학회지
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• 제53권3호
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• pp.489-501
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• 2016

In this paper, we study the rigidity under $K{\ddot{a}}hler$ deformation of the complex structure of odd Lagrangian Grassmannians, i.e., the Lagrangian case $Gr_{\omega}$(n, 2n+1) of odd symplectic Grassmannians. To obtain the global deformation rigidity of the odd Lagrangian Grassmannian, we use results about the automorphism group of this manifold, the Lie algebra of infinitesimal automorphisms of the affine cone of the variety of minimal rational tangents and its prolongations.

• 한국통신학회논문지
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• 제21권2호
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• pp.514-525
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• 1996

In this paper, Push-push Osciplier(Oscillator + Multiplier) has been analyzed by even-odd mode analysis method. A 10GHz DRO, an Osciplier using 10GHz DRO design method and an Osciplier using even-odd mode analysis method were designed, fabricated and tested to verify this method. The measured results verified the validity of the analysis method using even-odd mode analysis.

• 한국지역사회생활과학회지
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• 제16권1호
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• pp.149-163
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• 2005

Family has emerged as a key concept for health, and it has been identified as one of the most important conditions. The relationship between health habit and its management is different depending on family. The odd pair family, mostly rural lower income class, worry to have poor health because of no spouse and small family size. One thousand eight hundred and seventy(1870) subjects were collected in 9 provinces through the sampling of Probability Proportional to Size (PPS). Questionnaire method was conducted on health checking, bath states, alcohol consumption, cigarette smoking, and the prevalence of farmer's health related problems. The main results were as follows: 1) The characteristics of odd pair families are that the head of household is female(77% ), the size of family is small(1.76 persons), the education level is low(7.5 years for male, 3.1 years for female) and the age group is old (male: 89.78 year old, female: 73.69 year old). 2) For the odd pair family, the frequency of health checking is quite low with one or two times per year(l0.2%) and the rate of no-health checking is much higher(35.8%) .3) Bathing utility is not available 29.6% of the odd pair family and only cold water is supplied at home for the 11.5 % of them. However, for the paired family, 9.8 % of them has no bathing utility and the rate of the family supplied with only cold water is just 7.9%. 4) The bathing frequency score of odd pair family is l.74points for male and 1.25 points for female. 5) The rate of smoking habits for odd pair family is 68.5 % and specially it is 7.6% for female, which is higher comparing with that of pair family. 6) The smoking frequency score of odd pair family is 1.57 points. 7) Alcohol drinking frequency score of odd pair family is 1.79 points for male, and 3.24points for female. 8) Farmers' syndrome(FS) revealed 38.7% of odd pair family and it is lower than that of pair family(57.3%). Special pain of FS was huckle bone and muscle(28.4%) and articular pain(24.l %). The pain rate of huckle bone and muscle(43.l %) and articular pain(33.5%) were higher in a year in odd pair family were lower than those of pair family: farming machine caused accidents(6.5%) and pesticide poisoning(5.7%). l0) The odd pair family use more frequently medical clinic or public health center for the treatment of FS(74.7%) and pesticide poisoning(62.5%) than the pair family for FS(69.0%) and for pesticide poisoning(.53.6%). The score of FS treatment is 5.70 points for odd pair family and it is not significantly different from 5.62 points of the paired family. The result of pesticide poisoning treatment score is as same as that of FS.