• 제목/요약/키워드: Structural coloring

검색결과 17건 처리시간 0.029초

COMPUTATION OF TOTAL CHROMATIC NUMBER FOR CERTAIN CONVEX POLYTOPE GRAPHS

  • A. PUNITHA;G. JAYARAMAN
    • Journal of applied mathematics & informatics
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    • 제42권3호
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    • pp.567-582
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    • 2024
  • A total coloring of a graph G is an assignment of colors to the elements of a graphs G such that no adjacent vertices and edges receive the same color. The total chromatic number of a graph G , denoted by χ''(G), is the minimum number of colors that suffice in a total coloring. In this paper, we proved the Behzad and Vizing conjecture for certain convex polytope graphs Dpn, Qpn, Rpn, En, Sn, Gn, Tn, Un, Cn,respectively. This significant result in a graph G contributes to the advancement of graph theory and combinatorics by further confirming the conjecture's applicability to specific classes of graphs. The presented proof of the Behzad and Vizing conjecture for certain convex polytope graphs not only provides theoretical insights into the structural properties of graphs but also has practical implications. Overall, this paper contributes to the advancement of graph theory and combinatorics by confirming the validity of the Behzad and Vizing conjecture in a graph G and establishing its relevance to applied problems in sciences and engineering.

Structural Arrangements and Bonding Analysis of MgB2C2

  • Kang, Dae-Bok
    • Bulletin of the Korean Chemical Society
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    • 제31권9호
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    • pp.2565-2570
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    • 2010
  • The orthorhombic $MgB_2C_2$ structure contains well-separated parallel graphite-like $B_2C_2^{2-}$ layers which extend infinitely in two dimensions. Three possible ways to distribute B and C atoms in the hexagonal sublattice sites are adopted. Band structures for the hypothetical distribution patterns are examined to assess the electronic stability of these phases and to account for the observed arrangement by means of extended Huckel tight-binding calculations. The preferred choice is the layer with B and C alternating strictly so that B is nearest neighbor to C and vice versa. A rationale for this is given. Due to the alternation of B and C within the honeycomb layers, $MgB_2C_2$ is a band insulator, which through partial substitution of Mg with Li, is predicted to turn metallic with holes in the $\sigma$ bands at the Fermi level.

안정화 CdS-CdSe계 채료에 관한 연구 제2보$ ZrSiO_4-Cd(S_xS_{1-x})$ 의 합성 (A Study on Stabilized CdS-CdSe Red Stain A Study on Zircon Cadmium Sulphoselenide Stain)

  • 이종근;김종옥
    • 한국세라믹학회지
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    • 제23권4호
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    • pp.23-26
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    • 1986
  • The synthetic conditions of $ ZrSiO_4-Cd(S_xS_{1-x})$ stains from CdS, Se, $SiO_2$ , 4ZrO_2$ and Lif were investigated and the colors were examined. Colors of the stains prepared were yellow orange red pink ruby and violet in relation to both the content of CdS-Se in $ZrSiO_4$ and firing temperature. Colors of these series stains were thermally stabilized probably by the structural stability of zirconium silicate. Furthermore by the result of X-ray diffraction analysis it is assumed that color of the zircon cadmium sulphoselenide $ ZrSiO_4-Cd(S_xS_{1-x})$ stain is developed by neither the coloring ions in $ZrSiO_4$ lattice nor the solid solution of $ZrSiO_4$ and $Cd(S_xS_{1-x})$ but by the small crystals of $Cd(S_xS_{1-x})$ being occluded by the zirconium silicate during sintering process.

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축단면 내 대칭위치에 존재하는 원공결함에서 발생하는 피로균열 거동 (The Characteristics of Fatigue Cracks Emanating from Small Hole Defects Located Opposite Position of the Shaft Cross Section)

  • 송삼홍;안일혁;이정무
    • 한국정밀공학회지
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    • 제19권10호
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    • pp.84-91
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    • 2002
  • The shaft with the circular cross section have symmetric structural combination parts to keep the rotating balance. Hence the crack usually emanate from symmetric combination parts due to the stress concentration of these parts. In this study to estimate the fatigue behavior of symmetric cracks, the fatigue test was performed by using rotary bending tester and the specimen with symmetric defects in circular cross section. From the facts the characteristics of crack initiation and propagation on the symmetric surface cracks in circular cross section was examined. Also we observed the internal crack using oxidation coloring and investigated the fatigue behavior using the relationship between surface crack and internal crack. As a result of fatigue lift of symmetric cracks was reduced to 35% compared to single crack’s. We examined the characteristics of fatigue behavior in element with symmetric cracks using internal crack propagation rate and maximum stress intensity factor range obtained from approximation method.

Behavioral Characteristics of Fatigue Cracks in Small Hole Defects Located on Opposite Sides of the Shaft Cross Section

  • Sam-Hong;Il-Hyuk;Jeong-Moo
    • International Journal of Precision Engineering and Manufacturing
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    • 제5권4호
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    • pp.36-42
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    • 2004
  • The shaft with the circular cross section has symmetric structural combination parts to keep the rotating balance. Hence the crack usually initiates from symmetric combination parts due to the stress concentration of these parts. In this study to estimate the fatigue behavior of symmetric cracks, the fatigue test was performed by using a rotary bending tester and the specimen with symmetric defects in circular cross section. The characteristics of crack initiation and propagation on the symmetric surface cracks in circular cross section were examined. We also observed the internal crack using the oxidation coloring method and investigated the fatigue behavior using the relationship between the surface crack and the internal crack. As a result, the fatigue life of symmetric cracks was reduced by 35% compared to that of a single crack. We examined the characteristics of fatigue behavior of elements with symmetric cracks using internal crack propagation rate and maximum stress intensity factor range that were obtained from an approximation method.

마그네슘합금의 표면처리에 관한 연구개발 동향 (R&D Trend on Surface Treatment of Magnesium Alloys)

  • 심재동;변지영
    • 한국재료학회지
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    • 제23권1호
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    • pp.72-80
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    • 2013
  • Recently, consumption of magnesium alloys has increased especially in the 3C (computer, communication, camera) and automobile industries. The structural application of magnesium alloys has many advantages due to their low densities, high specific strength, excellent damping and anti-eletromagnetic properties, and easy recycling. However, practical application of these alloys has been limited to narrow uses of mild condition, because they are inferior in corrosion resistance and wear resistance due to their high chemical reactivity and low hardness. Various wet and dry processes are being used or are under development to enhance alloy surface properties. Various conversion coating and anodizing methods have been developed in a view of eco-friendly concept. The conventional technologies, such as diffusion coating, sol-gel coating, hydrothermal treatment, and organic coating, are expected to be newly applicable to magnesium alloys. Surface treatments for metallic luster or coloring are suggested using the control of the micro roughness. This report reviews the recent R&D trends and achievements in surface treatment technologies for magnesium alloys.

Study on Optical Characteristics of Nano Hollow Silica with TiO2 Shell Formation

  • Roh, Gi-Yeon;Sung, Hyeong-Seok;Lee, Yeong-Cheol;Lee, Seong-Eui
    • 한국세라믹학회지
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    • 제56권1호
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    • pp.98-103
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    • 2019
  • Optical filters to control light wavelength of displays or cameras are fabricated by multi-layer stacking process of low and high index thin films. The process of multi-layer stacking of thin films has received much attention as an optimal process for effective manufacturing in the optical filter industry. However, multi-layer processing has disadvantages of complicated thin film process, and difficulty of precise control of film morphology and material selection, all of which are critical for transmittance and coloring effect on filters. In this study, the composite $TiO_2$, which can be used to control of UV absorption, coated on nano hollow silica sol, was synthesized as a coating material for optical filters. Furthermore, systematic analysis of the process parameters during the chemical reaction, and of the structural properties of the coating solutions was performed using SEM, TEM, XRD and photo spectrometry. From the structural analysis, we found that the 85 nm nano hollow silica with 2.5 nm $TiO_2$ shell formation was successfully synthesized at proper pH control and titanium butoxide content. Photo luminescence characteristics, excited by UV irradiation, show that stable absorption of 350 nm-light, correlated with a 3.54 eV band gap, existed for the $TiO_2$ shell-nano hollow silica reacted with 8.8 mole titanium butoxide solution. Transmittance observed on substrate of the $TiO_2$ shell-nano hollow silica showed effective absorption of 200-300 nm UV light without deterioration of visible light transparency.

Co2O3 첨가가 알루미나의 액상소결 및 기계적 물성에 미치는 영향 (Effect of Co2O3 addition on liquid phase sintering behavior and mechanical properties of commercial alumina)

  • 오복현;윤태규;공헌;김남일;이상진
    • 한국결정성장학회지
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    • 제30권4호
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    • pp.150-155
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    • 2020
  • 구조용 세라믹재료로 주로 사용되는 알루미나(Al2O3)는 우수한 기계적 특성을 위해 치밀한 미세구조를 요구하며, 소결온도를 낮추기 위해 상업적으로 액상소결(liquid phase sintering)이 적용된다. 본 연구에서는 SiO2, MgO, CaO를 액상소결 조제로 사용하는 92 % 상업용 알루미나의 액상소결 시, 착색제(coloring agent)로 주로 사용되는 산화코발트(Co2O3)의 첨가량과 다양한 소결온도가 알루미나의 미세구조 및 기계적 특성에 미치는 영향을 고찰하였다. 약 11 w t% 산화코발트 첨가에 따라 1200℃부터 고상입자 재배열에 의한 수축이 시작되었고 1300℃ 이상의 온도에서 용해 재석출 및 합체(coalescence)에 의한 알루미나의 결정립 성장이 관찰되었다. 1400℃ 이상의 열처리 온도 혹은 과량의 Co2O3 첨가는 액상의 점도를 낮추어 소결밀도를 감소시켰고, 이와 함께 경도값도 감소하였다. 산화코발트를 11 w t% 첨가하여 1350℃에서 소결할 경우, 3.86 g/㎤의 밀도와 12.32 GPa의 경도를 갖는 치밀한 소결체 제조가 가능하였다.

서양 복식사에 나타난 의상장식에 관한 연구 (A Study on the Ornaments in Western Dress History)

  • 이순홍
    • 복식문화연구
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    • 제11권1호
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    • pp.20-46
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    • 2003
  • This study analyzes the garment decorations in the history of western costume based on their kinds and techniques, and consider the beginning and the development of costume decoration. The purpose is to promote a historical understanding of modern ornamentation. Based on the theoretical background concerning the origin and purpose of costume decoration, its symbolism and its relationship with images, this study classified the techniques and kinds of ornament and considered each costumes by their decoration. 1. The ornament was originated from the primitive custom of coloring the skin for the purpose of protecting the body, symbolizing the tribe, indicating the class, and threatening the enemies. As this custom changed into the decoration on the body as a form of tattoos or physical transformations, the practice of ornament seems to begin as a display of one's authority and wealth as well as a human instinct to decorate oneself beautifully. 2. The basic purpose of ornament is to look attractive by decorating oneself with ornaments. Addition of decorative design to the garment tends to complement the practical aspects of the whole clothing, and elevate its value and originality. 3. From the past, ornament has been used as a symbol of wealth and status. Originated from the desire to display one´s authority and power and to receive respect from others, the people's interest in ornament have rising. 4. The kinds and techniques of ornament can be classified into the structural and applied decorations. The former is decorating a part of a garment, such as the neckline, cellar, cuffs, or pockets. The latter includes braids, laces and embroideries. These ornament are diverse in their details and techniques, and should consider both functional aspects of clothing and its decorative functions emphasizing the aesthetic expressions. In the above considerations, we can see that costume ornament was most splendid in the premodern times and it was the simplest in the ancient times. And we also saw the possibility that decorative techniques could be created almost limitlessly.

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