• 대한치과기공학회지
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• 제36권4호
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• pp.247-253
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• 2014

Purpose: The aim of this study was to evaluate the effect of colored zirconia with different coloring liquids. Methods: Total 30 specimens were prepared. Specimens were classified into 6 groups: IPS e.max Ceram(P), Uncolored zirconia(C), VITA In-Ceram$^{(R)}$2000 YZ LL1(L), Zirkonzahn coloring liquid(Z), Wieland coloring liquid(W), and Kuwotech coloring liquid(K). Four different types of zirconia coloring liquid, VITA In-Ceram$^{(R)}$ 2000 YZ LL1(VITA Zahnfabrik, Germany), Zirkonzahn coloring liquid(Zirkonzahn, Italy), Wieland coloring liquid(Wieland, Germany), Kuwotech coloring liquid(Kuwotech, Korea) were used to fabricate colored zirconia by using infiltrating method and then completely sintered. The color of the all specimens was measured using the spectrophotometer(CM-2600d, Konica Minolta, Japan) and expressed in terms of the 3-coordinated values(CIE $L^*a^*b^*$). Color differences were calculated using the equation $${\Delta}E^*=[({\Delta}L^*)^2+({\Delta}a^*)^2+({\Delta}b^*)^2]^{1/2}$$. Results: $L^*a^*b^*$ values of the colored zirconia were affected by the coloring liquids. The uncolored zirconia(C) group showed the highest $L^*$ value and zirkonzahn coloring liquid(Z) group showed the lowest $L^*$ value. Zirkonzahn coloring liquid(Z) showed the highest $a^*$ value and VITA In-Ceram 2000 YZ LL1(L) group showed the highest $b^*$ value. Generally, the color difference(${\Delta}E^*$) in all groups showed higher than 3.7 except between IPS e.max Ceram(P) and wieland coloring liquid(W) group. Conclusion: Within the limitations of this study, various coloring liquids influenced the $L^*$, $a^*$, and $b^*$ values of colored zirconia. IPS e.max Ceram(P) and wieland coloring liquid(W) group did not show clinically perceiving color difference.

• 패션비즈니스
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• 제19권1호
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• pp.77-94
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• 2015

Due to the inflammatory of body exposure it did not become popular to the Korean nation but the body painting as a body art is definitely required for it be become a new pure artwork. In this body painting color is the core factor for visual part and expression and coloring obtained from the color is very important in creating effective image. In Korea beauty industry the researches are limited to the study on coloring expression of general beauty makeup. Therefore, this research analyzes color images in recent body painting artworks by defining characteristics of colors and coloring applied by theme. For the research subjects, dominant and secondary colors were extracted from the artworks presented in preliminary and final rounds of year 2012 and 2013 World Body Painting Festival. For the selection of final coloring stimulation the most frequent coloring by theme was first chosen. Among them, 2 individual coloring bands were selected by theme among the high frequency colors. For the analysis of coloring image shown in body painting works total 8 coloring bands were created and they were compared and analyzed by indicating each divided coloring band on the coloring image scale by theme. In this research coloring image analysis was done after examining colors and coloring of artworks presented in World Body Painting Festival by theme. This research has its meaning that it provides information and guideline for coloring design work of body painting by analyzing coloring image used in color and coloring of body painting by theme.

• The Journal of Advanced Prosthodontics
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• 제11권4호
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• pp.209-214
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• 2019

PURPOSE. The purpose of this study was to evaluate the effect of two coloring liquids (aqueous and acid-based coloring liquids) and the position of multilayered zirconia on the flexural strength of multilayered zirconia. MATERIALS AND METHODS. The multilayered zirconia specimens were divided into upper and lower positions. The specimens were divided into three subgroups (n=10): non-shaded, acid-based coloring liquid, and aqueous coloring liquid. The specimens were cut using a milling machine and were immersed in either a acid-based coloring liquid or aqueous coloring liquid 2 times for 5 seconds. The specimens were sintered in a sintering furnace according to the manufacturer's introduction. The flexural strength of the specimen was measured using a universal testing machine and the surface of the specimen was observed using a field emission scanning electron microscope. RESULTS. The flexural strength of multilayered zirconia was 400 - 500 MPa. There was no statistically significant difference among all groups (P>.05).The flexural strength of the multilayered zirconia was not influenced by the kind of coloring liquid used (P>.05). The flexural strength of the multilayered zirconia colored with the coloring liquids was not influenced by its position (P>.05). CONCLUSION. The different coloring liquid application did not affect the flexural strength of multilayered zirconia of all positions.

• 대한수학회논문집
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• 제38권3호
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• pp.913-924
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• 2023

We consider the number of colors for colorings of links by the symmetric group S₃ of degree 3. For knots, such a coloring corresponds to a Fox 3-coloring, and thus the number of colors must be 1 or 3. However, for links, there are colorings by S₃ with 4 or 5 colors. In this paper, we show that if a 2-bridge link admits a coloring by S₃ with 5 colors, then the link also admits such a coloring with only 4 colors.

• Journal of applied mathematics & informatics
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• 제39권1_2호
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• pp.13-29
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• 2021

For a graph G = (V, E), a vertex coloring (or, simply, a coloring) of G is a function C : V (G) → {1, 2, …, k} (using the non-negative integers {1, 2, …, k} as colors). We say that a coloring of a graph G is injective if for every vertex v ∈ V (G), all the neighbors of v are assigned with distinct colors. The injective chromatic number χi(G) of a graph G is the least k such that there is an injective k-coloring [6]. In this paper, we study a natural variation of the injective coloring problem: coloring the edges of a graph under the same constraints (alternatively, to investigate the injective chromatic number of line graphs), we define the k- injective edge coloring of a graph G as a mapping C : E(G) → {1, 2, …, k}, such that for every edge e ∈ E(G), all the neighbors edges of e are assigned with distinct colors. The injective chromatic index χ′in(G) of G is the least positive integer k such that G has k- injective edge coloring, exact values of the injective chromatic index of different families of graphs are obtained, some related results and bounds are established. Finally, we define the injective clique number ωin and state a conjecture, that, for any graph G, ωin ≤ χ′in(G) ≤ ωin + 2.

• 디지털융복합연구
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• 제20권2호
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• pp.345-351
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• 2022

단순 무방향 그래프 G 의 L(2,1)-coloring은 d(u,v)가 두 정점 사이의 거리일 때 두 가지 조건 (1) d(x,y) = 1 라면 |f(x)-f(y)|≥ 2, (2) d(x,y) = 2 라면 |f(x)-f(y)|≥ 1 을 만족하는 함수 f : V → [0,1,…,k]를 정의하는 것이다. 임의의 L(2,1)-coloring c 에 대하여 G 의 c-span 은 λ(c)=max{|c(u)-c(v)|| u,v∈V} 이며, L(2,1)-coloring number 인 λ(G)는 모든 가능한 c 에 대하여 λ(G) = min{λ(c)} 로 정의된다. 본 논문에서는 Harary의 정리에 기반하여 지름이 2인 그래프에 대하여 여그래프에 해밀턴 경로의 존재여부를 Tabu Search를 사용해 판단하고 이를 통해 λ(G)가 n(=|V|)과 같음을 분석한다.

• 대한수학회논문집
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• 제30권1호
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• pp.45-64
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• 2015

In this article, we consider a proper total coloring distinguishes adjacent vertices by sums, if every two adjacent vertices have different total sum of colors of the edges incident to the vertex and the color of the vertex. Pilsniak and Wozniak [15] first introduced this coloring and made a conjecture that the minimal number of colors need to have a proper total coloring distinguishes adjacent vertices by sums is less than or equal to the maximum degree plus 3. We study proper total colorings distinguishing adjacent vertices by sums of some graphs and their products. We prove that these graphs satisfy the conjecture.

• 대한치과보철학회지
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• 제55권1호
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• pp.18-25
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• 2017

목적: 이 연구의 목적은 coloring agent의 종류와 적용 횟수가 지르코니아의 색조에 미치는 영향을 알아보는 것이다. 재료 및 방법: 단일구조 지르코니아($15.7mm{\times}15.7mm{\times}2.0mm$)를 준비하여 완성된 시편은 11개 실험군 그룹으로 coloring agent의 종류와 적용 횟수에 따라 a1-a5와 w1-w5로 나누었다. 색조의 측정은 분광측색기를 이용하여 이루어졌다. Coloring agent를 적용시키지 않은 그룹을 대조군으로 설정하였다. 각 그룹의 색차의 정도(${{\Delta}E^*}_{ab}$)와 translucency parameter (TP)를 분석하였다. 측정치는 two-way ANOVA, multiple comparison $Sch{\acute{e}}ffe$ test, Pearson correlation와 linear regression analysis를 이용하여 분석하였다. 결과: Coloring agent의 적용횟수가 증가할수록 두가지 종류 모두에서 지르코니아의 명도는 감소하고 황색계열은 증가했다. Coloring agent는 지르코니아의 투명도에는 영향을 미치지 않았다. 각 그룹 간의 색조차이는 ${0.87{\Delta}E^*}_{ab}$에서 ${9.43{\Delta}E^*}_{ab}$였다. 결론: Coloring agent의 종류와 적용 횟수는 지르코니아의 색조 차이에 영향을 미치지 않았다.

• 대한수학회지
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• 제48권1호
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• pp.105-115
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• 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.

• 한국산학기술학회논문지
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• 제10권8호
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• pp.2150-2156
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• 2009

지르코니아($3Y-ZrO_2$)에 frit을 첨가하고 MgO를 조제로 첨가하거나 혹은 하소된 성형체에 액상의 착색료에 침지하는 방법을 통하여 착색하고 얻어진 소결체의 물성과 색상 변화를 고찰하였다. Frit가 20 wt% 첨가된 지르코니아-frit조성에 MgO가 첨가됨에 따른 색상의 변화는 소결온도가 높아짐에 따라 구별가능한 정도로 효과가 있음을 확인하였다. 이 때 색상의 변화 정도는 MgO의 첨가량 변화에 의한 효과 보다는 소결 온도의 변화에 의한 효과가 더 크게 나타났음을 확인할 수 있었다. 액상의 착색료에 침지한 후 소결한 경우에서는 frit의 첨가량이 증가함에 따라 반사도가 증가하는 것으로 나타났으며 착색료에 침지하지 않은 경우에 비하여 색상의 변화가 감소함을 알 수 있었고 frit은 색상의 변화를 억제하는 것으로 나타났다.