• Title/Summary/Keyword: f-total coloring

Search Result 7, Processing Time 0.021 seconds

[r, s, t; f]-COLORING OF GRAPHS

  • Yu, Yong;Liu, Guizhen
    • Journal of the Korean Mathematical Society
    • /
    • v.48 no.1
    • /
    • pp.105-115
    • /
    • 2011
  • Let f be a function which assigns a positive integer f(v) to each vertex v $\in$ V (G), let r, s and t be non-negative integers. An f-coloring of G is an edge-coloring of G such that each vertex v $\in$ V (G) has at most f(v) incident edges colored with the same color. The minimum number of colors needed to f-color G is called the f-chromatic index of G and denoted by ${\chi}'_f$(G). An [r, s, t; f]-coloring of a graph G is a mapping c from V(G) $\bigcup$ E(G) to the color set C = {0, 1, $\ldots$; k - 1} such that |c($v_i$) - c($v_j$ )| $\geq$ r for every two adjacent vertices $v_i$ and $v_j$, |c($e_i$ - c($e_j$)| $\geq$ s and ${\alpha}(v_i)$ $\leq$ f($v_i$) for all $v_i$ $\in$ V (G), ${\alpha}$ $\in$ C where ${\alpha}(v_i)$ denotes the number of ${\alpha}$-edges incident with the vertex $v_i$ and $e_i$, $e_j$ are edges which are incident with $v_i$ but colored with different colors, |c($e_i$)-c($v_j$)| $\geq$ t for all pairs of incident vertices and edges. The minimum k such that G has an [r, s, t; f]-coloring with k colors is defined as the [r, s, t; f]-chromatic number and denoted by ${\chi}_{r,s,t;f}$ (G). In this paper, we present some general bounds for [r, s, t; f]-coloring firstly. After that, we obtain some important properties under the restriction min{r, s, t} = 0 or min{r, s, t} = 1. Finally, we present some problems for further research.

Effect of Light Quality (Red, Blue) on the Major Components of Hot Pepper Fruit (신미종(辛味種) 고추의 주요(主要) 성분(成分)의 함량(含量)에 미치는 광질(光質) (Red, Blue)의 영향(影響))

  • Kim, Kwang-Soo;Roh, Seung-Moon;Park, Jyung-Rewng
    • Korean Journal of Food Science and Technology
    • /
    • v.11 no.3
    • /
    • pp.162-165
    • /
    • 1979
  • In order to study the red-coloring effects of hot pepper fruit by light treatment during after-ripening period, 'Karak Geumjang No. 2 green hot pepper fruits, Capsicum annuum L., after 30 to 35 days from flowering were harvested and white, red and blue light treatments at the energy level of $40\;{\mu}watt/cm^2/sec$ were given at $25^{\circ}C$. When compared with white light, total chlorophyll content was strikingly decreased by blue light treatment and no difference in the chlorophyll contents between red and white light was observed. The chlorophyll a and b showed a similar decreasing patterns as shown in the case of total chlorophyll. Total carotenoid content was higher in the blue light treatment by 31% than the white light. However, red light decreased the carotenoid condent as compared to the white light treatment. But ${\beta}-carotene$ was not changed by red light as compared to white light. Blue light treatment increased ${\beta}-carotene$ content (0.71 mg%-f.w.) as compared to white light treatment (0.56 mg%-f.w.). Therefore, blue light treatment increased red-coloring responses of hot pepper fruit during after-ripening period. The capsaicin content was slightly increased by blue light and no red light influence was observed.

  • PDF

Studies on the Determination of Synthetic Food Colors (합성식용색소의 정량분석법에 관한 검토)

  • Om Ae-Son;Lee Heon-Ok;Shim Jae-Young;Shin Dong-Hwa;Kim Yong-Suk;Lee Young-Hwan;Bang Jeong-Ho;Shin Jae-Wook;Lee Tal-Soo;Hong Ki-Hyoung;Park Sung-Kwan;Choi Duck-Jang;Kim Hee-Yun
    • Journal of Food Hygiene and Safety
    • /
    • v.20 no.2
    • /
    • pp.73-76
    • /
    • 2005
  • Center for Food Standard Evaluation, Korea Food and Drug AdministrationThis study was performed to compare analytical methods of nine synthetic food colors and six food color lakes in Korea, Japan, Joint FAO/WHO Expert Committee of Food Additives (JECFA), and USA. The experimental protocol of this study consists of three parts: titration method with titanium chloride, gravimetric and spectrophotometric method. To measure the total contents of food colors, Korea and Japan used titration method with titanium chloride, USA used the average value of titration method with titanium chloride equipped with Kipp generator and spectrophotometric method. Also, JECFA used titration method with titanium chloride equipped with KiPP generator. However, All the low organizations used gravimetric method to measure the total content of coloring matter on Food Red No.3. Although all organizations use various methods for analysis of coloring matters, total contents of coloring matter on food colors tested fell into the standard showing $85.08-96.40\%$ in synthetic food colors and $10.00-36.86\%$ in food color lakes.

The Purchasing Behavior and Use of Cosmetics Associated with Self-Monitoring and Demographic Variables (자기모니터링, 인구통계학적 변인과 화장품 구매행동 및 사용에 관한 연구)

  • 이명희
    • The Research Journal of the Costume Culture
    • /
    • v.8 no.5
    • /
    • pp.771-784
    • /
    • 2000
  • The purpose of this study was to investigate the casual relationships of self-monitoring, face satisfaction, and demographic variables on the purchasing behavior and use of cosmetics of women. Samples wre 479 women in their 20's to 50's in Seoul, Korea. Three factors of the purchase criteria of cosmetics derived by factor analysis : F.1 'intrinsic trait', F.2 'sales promotion and fashion', F.3 'economy. Women high in self-monitor purchased and used cosmetics more than those low in self-monitor. There were significant relationships between the purchasing behavior and use of cosmetics and age, education, and social stratification. Women in their 20's and 30's perceived purchase criteria associated with intrinsic trait such as color and becomingness as more important, 20's sales promotion and fashion, women with less education perceived economy more than did the others. Upper class women showed more concern for intrinsic trait such as quality and color of cosmetics than did lower class. Social stratification, age, self-monitoring, and education had a direct effect on the degree of cosmetics purchase. Self-monitoring and education had a direct effect on the degree of cosmetics use. Age, education, social stratification, and face satisfaction had an indirect effect on the degree of cosmetics purchase and use. The causal relationship of self-monitoring on the use of coloring cosmetics was stronger than the connection between self-monitoring and total cosmetics. The present findings provide that personal trait associated with self-monitoring of women is important variable in understanding of the purchasing behavior and use of cosmetics.

  • PDF

A Study on the Color coordination System to fashion (섬유.패션디자인을 위한 컬러코디네이션 지원모델 개발)

  • Jung, Jae-Woo;Lee, Jae-Jung
    • Archives of design research
    • /
    • v.18 no.1 s.59
    • /
    • pp.167-174
    • /
    • 2005
  • This study is to objectively support the emotional and intuitional decision making of the designer by means of developing the supporting models and tools of color coordination. Based on the color grouping system and representative vocabularies suggested in the precedent 'Study on the Grouping System of Fabric Color,' this study suggested the manufacture of the supporting model of color coordination that could be used practically through the design of coloring group. The results of this study can be summarized as below. Firstly, 687 colors in total have been collected from the four world famous collections, the street fashion of 2002 F/W 2003 S/S Season and the representative brands in each group for five years from 1999 to 2003 in order to single out the basic colors for the purpose of composing the color groups. Secondly, 687 collected colors have been grouped into 144 colors in total through the three-step process for the extraction of coloring groups. Thirdly, the final extracted colors have been divided into , , , group by the grouping system specified in the precedent study and the said four large groups have been again subdivided into 12 small groups. Fourthly, the suggested colors in each group have established a color coordination system by introducing the concept of the crossover coordination that could be matched with other groups as well as the coordination within the group. Fifthly, we have dyed 144 colors in total that have consisted of the coloring system of four representative groups (twelve subgroups) in each methodical tone as in the above in cotton yarn, one of the representative materials in fabric fashion design industry. Besides, we have specified the symbol of the Pantone Color Book and CMYK values in each color that has consisted of the system considering the industrial characteristics of fashion as a global business and the compatibility with the related design industry. Sixthly, we have packed the completed yam made of fabrics in the designed container for the easy use of cross-coordination and have completed a color coordination system that could be easily utilized for the fashion-related working-level staffs.

  • PDF

A Study on Design Characteristics of Chanel's and Fendi's Collections under the Direction of Karl Lagerfeld (칼 라거펠트 디렉팅의 샤넬과 펜디에 대한 디자인 특성 연구)

  • Bae, Woo Ri;Kim, Yoon Kyoung;Lee, Kyoung Hee
    • Fashion & Textile Research Journal
    • /
    • v.23 no.6
    • /
    • pp.709-725
    • /
    • 2021
  • The study focused on the design features of Chanel and Fendi, directed by Carl Lagerfeld, creative director of Chanel and Fendi until his recent death. The range of the study was from the 2017 S/S Collection to the 2019 F/W Collection, which collected a total of 767 fashion photographs, including 483 Chanel, 284 Fendi, with tops, bottoms and dresses at VOGUE (https://www.vogue.com). According to the data analysis criteria organized based on prior research and related literature, it was classified in the order of form, color, material, pattern, decoration, fashion image, item and coordination, and content analysis was conducted based on statistical analysis. Overall, the design characteristics of the Chanel collection, directed by Karl Lagerfeld, were rectangle form, tone in tone coloring, combination of identical materials, geometric patterns, and classical images as the main design characteristics of the Chanel collection. The design characteristics shown in the Fendi collection directed by Karl Lagerfeld were rectangle form, tone in tone coloration, hard material combination, abstract pattern, and total coordination. Comparing the design features of Chanel and Fendi, directed by Karl Lagerfeld, is as follows. Chanel and Fendi's designs show a lot of rectangle form, tone-in-tone colors, hard-materials and combination of the same material.

A Study Regarding Measurements of Bacterial Contamination Levels in Radiology Room Equipment (방사선과 촬영실 장비의 세균오염도 측정)

  • Choi, Eun-Jin;Song, Hyeon-Je;Dong, Kyung-Rae;Kim, Chang-Bok;Ryu, Jae-Kwang;Kwak, Jong-Gil
    • Journal of Radiation Industry
    • /
    • v.11 no.1
    • /
    • pp.1-6
    • /
    • 2017
  • Reported some level of bacteria in areas that are well made contact in Radiology imaging room evaluate the importance of cleanliness in the hospital management of equipment to check for the presence of pathogenic bacteria. Gwang-ju and Jeol-la city and medium-sized hospitals in the material with a cotton swab and rub evenly Radiology selection cassette, a handle, Apron of the imaging apparatus having the most contact with patients from July 2016 to August 2016 as a target in place and special studios 6, and saline solution will placed in a test tube containing. The swab sample was diluted 1,000 times, you can see the bacteria and the intestinal bacterial selective medium Trypticase Soy Agar (TSA), Muller-Hinton Agar (MHA), Eosin-Methylene Blue (EMB), ENDO(BD, NJ, USA) then incubated smear to. In the incubator (incubator, SANYO, Japan) was observed after incubation of bacteria and counting the total number of bacteria also Colonies (colony) suspected intestinal bacteria were isolated and cultured on KIA medium (BD, NJ, USA). As a result, it was found that this came Gram positive Coccus A hospital handle the F hospital, from the C Gram positive Coccus cassette and handle the F hospital. The striking yellow coloring Staphylococcus aureus 110 agar (STA 110) in the medium sample, but it is suspected staphylococcal Coccus to the final identification in the laboratory is not a single specimen of the two samples from Gram positive Coccus biochemical identification Identification Kit is an API could not, it was thought to be non-Staphylococcus aureus was cultured on blood agar suggesting that (BAP) blood of dance. Dynamic tests were conducted biochemical API kit of the two samples were identified from Gram positive Coccus bacteria Escherichia coli (E. coli) is F hospital cassette was confirmed Eenterobacter cloaca in A hospital possession. Did not aggregate O-26, O-111, O-157 and the serum test was conducted in the laboratory from the E. coli F cassette hospital.