• Kyungpook Mathematical Journal
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• v.58 no.4
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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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• v.34 no.3
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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.

• The Journal of The Korea Institute of Intelligent Transport Systems
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• v.22 no.2
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• pp.195-211
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• 2023

For the commercialization For the commercialization of autonomous vehicles (AV), the operational design domain (ODD) of automated driving systems (ADS) is to be clearly defined. A common language and consistent format must be prepared so that AV-related stakeholders can understand ODD at the same level. Therefore, overseas countries are presenting a standardized ODD framework and developing scenarios that can evaluate ADS-specific functions based on ODD. However, ODD includes conditions reflecting the characteristics of each country, such as road environment, weather environment, and traffic environment. Thus, it is necessary to clearly understand the meaning of the items defined overseas and to harmonize them to reflect the specific domestic conditions. Therefore, in this study, domestic optimization of the ODD classification system was performed by analyzing the domestic driving environment based on international standards. The driving environment of currently operating self-driving car test districts (Sangam, Seoul, and Gwangju) was investigated using the developed domestic ODD items. Then, based on the results obtained, the ranges of the ODDs in each test district were determined and compared.

• The Journal of The Korea Institute of Intelligent Transport Systems
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• v.21 no.5
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• pp.197-217
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• 2022

As automated vehicle(AV) accidents continue to occur, the importance of safety verification to ensure the safety and reliability of automated driving system(ADS) is being emphasized. In order to encure safety and reliability, it is necessary to define an operational design domain(ODD) of the ADS and verify the safety of the ADS while evaluating its ability to respond in situations outside of the ODD. To this, international associations such as SAE, BSI, NHTSA, ISO, etc. stipulate ODD standards. However, in Korea, there is no standard for the ODD, so automated vehicles's ODD expression method and safety verification and evaluation are not properly conducted. Therefore, this study analyzed overseas ODD standards and selected suitable ODD for safety verification and evaluation, and presented evaluation elements for ADS safety verification and evaluation. In particular, evaluation elements were selected by analyzing the evaluation environment of the automated driving experimental city (K-City) that supports the development of ADS technology.

• The Korean Journal of Community Living Science
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• v.16 no.1
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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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• v.30 no.5_6
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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.

• Journal of KIISE:Computer Systems and Theory
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• v.36 no.5
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• pp.344-350
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• 2009

In this paper, we propose a new interconnection network, hierarchical odd network HON($C_d,C_d$), which used the odd network as basic modules. We investigate various topological properties of HON($C_d,C_d$), including connectivity, routing algorithm, diameter and broadcasting. We show that HON($C_d,C_d$) outperforms the three networks, i.e. the odd network, HCN(m,m), and HFN(m,m).

• Journal of the Korean Mathematical Society
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• v.53 no.3
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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.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.21 no.2
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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.

• The Korean Journal of Community Living Science
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• v.16 no.1
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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.