Diamond Product Research Articles

Applying the Diamond Product of Graphs to the Round Robin Tournament Scheduling Problem

The diamond product of a graph G(V,E) with a graph H(V′,E′) denoted by G⋄H is a graph whose a vertex set V(G⋄H) is a Hom(G,H) and an edge set E(G⋄H)={{f,g}|f,g∈Hom(G,H) and {f(x),g(x)}∈E′, for all x∈V(G)}. A round robin tournament problem involves creating a schedule where each participant plays against every other participant exactly once. This research represents the application of the diamond product of path graph and complete graph to 2n-participants round robin tournament problem. Moreover, the research also represents an algorithm to find a solution of 2n-participants round robin tournament problem.

Analysis of the Importance of Love and Brand Marketing to Diamond Product SalesTaking Darry Ring as an Example

As an industry with a very long history of development, diamond products are now very diversified in marketing methods, but adding love attributes to products is still the mainstream of diamond marketing. In previous studies, the research generally focuses on the diamond export control adopted by De Beers and the marketing miracle of "A Diamond is Forever." However, today's diamond industry has a more innovative way of publicity. This paper is making efforts to analyze what impact love and brand marketing can bring to the diamond industry. The turnover changes in recent years of the Chinese diamond brand Darry Ring and its unique and innovative marketing methods are going to be analyzed. The result shows that the marketing method of "a man can only customize one ring in his life" adopted by Darry Ring has brought great social attention and sales growth to the brand. At the same time, this innovative concept has also helped Darry Ring successfully shape its brand image, which is obviously different from the traditional diamond product brands and is highly sought after and welcomed by consumers.

On diamond products ensuring irreducibility of the associated composed product

Let f and g be two irreducible polynomials of coprime degrees m and n whose zeroes lie in a set . Let be a diamond product on G. We define the weaker cancelation property of and show that it is sufficient to conclude that the composed product of f and g derived from is an irreducible polynomial of degree mn. We also prove that a wide class of diamond products on finite fields satisfy the weaker cancelation property. These results extend the corresponding results of Brawley and Carlitz (1987), and Munemasa and Nakamura (2016).

Effects of Diamond Product Reliability on Consumers' willingness to pay and their buying behavior

시대의 빠른 흐름에 맞춰 귀금속 산업은 크게 발전하고 있으며, 귀금속 산업이 발달할수록 고객의 욕구를 충족시키기 위해 다양한 형태의 서비스 산업이 형성되면서 전문성이 갖추어지길 요구하고 있다. 경쟁 속에서 살아남기 위하여 고객유치에 힘쓰고 다양한 제품을 제공하지만, 고객의 욕구변화와 급속한 발달한 기술은 경쟁을 더욱 심화시키고 있다. 국민소득의 증가와 생활수준의 향상으로 인해 귀금속, 다이아몬드에 대한 소비자들의 구매욕구가 높아지고 있기에 본 연구는 다이아몬드를 판매하는 주얼리 점포와 구매하는 소비자들의 다이아몬드 인식, 이해와 정보 습득, 판매자 신뢰도, 감정서 신뢰도, 다이아몬드 구매 대안 설정, 향후 구매와 판매 과정 등을 조사하여 분석함으로 문제점을 파악한 후 이를 바탕으로 업계의 발전과 더불어 소비자와의 신뢰를 구축하므로 다이아몬드 소비에 이르기까지 제품신뢰가 소비자의 지불의사 및 제품 구매행동에 어떠한 관계가 있는지를 이해하는 자료로 활용하고 보석 종사자에게 학문적 이용가치를 제공함을 목적으로 함에 그 목적이 있다. 첫째, 제품신뢰와 지불의사의 영향 관계에서 제품신뢰는 지불의사에 영향을 줄 수 있다는 가정에서 다이아몬드 제품신뢰 요인들 중 전문성은 지불의사에 영향을 미치는 것으로 밝혀졌다. 하지만 제품신뢰의 대중성은 지불의사 모두에 영향을 미치지 못하는 것으로 나타났다. 둘째, 지불의사에 대한 구매행동은 소비자 구매행동에 영향을 줄 수 있다는 가정에서 지불의사 요인들 중 지불의향은 구매행동의 기능지향과 브랜드 지향에 모두에 유의한 영향을 미치는 것으로 밝혀졌다. 하지만 지불의사의 상향의향은 기능지향에 영향을 미치는 요인이지만 브랜드 지향에는 영향을 미치지 못했다는 것으로 나타났다. 상기의 결과를 바탕으로 주얼리 점포에서는 소비자에게 전문성 있는 정보를 제공하고 전문성을 갖추는데 노력을 다해야 한다. 또한 소비자가 노력을 모두 비용으로 환산하기에 어려움이 따르기에 일반적으로 소비자가 자신의 노력과 대비해 수용할 수 있는 수준의 비용을 지불 하고서라도 거래의 안정성이 확보되고 신뢰할 수 있는 주얼리 점포에서의 제품 구매를 더 선호할 것이라는 예상을 할 수 있으며, 제품의 신뢰도가 중요해진 만큼 소비자가 신뢰하는 주얼리 점포를 통하여 구매함으로 거래의 위험과 불확실성을 줄일 수 있으므로 조금 더 향상된 가격을 지불 하더라도 자신에게 어울리는 제품 정보를 알려주고 제품의 품질을 향상 시킨다면 소비자들은 지불의사를 나타낼 것이며 구매행동으로 까지 이루어지는 결과라 할 수 있다.In line with the rapid trend of the times, the precious metal industry is greatly developing, and the more the precious metal industry develops, the more diverse forms of service industry are formed to meet the needs of the customers, the more professional it is demanding. While the company strives to attract customers to survive in competition and offers a variety of products, changes in customers needs and rapidly developed technologies are further deepening competition. Because consumers desire to purchase precious metals and diamonds is increasing due to the increase in national income and the improvement of living standards, this study provides a relationship between the Jewelry stores that sell diamonds and the consumers who buy diamonds, understanding and information, vendor trust in certificates, setting up alternatives to purchase diamonds, and then building trust with consumers as a means of understanding the problem and understanding the purpose of purchasing and selling them. First, the expertise of diamond product trust factors in the assumption that product trust can affect payment will in relation to product trust and the effect of payment will is found to affect payment will. However, the popularity of product trust does not affect all of the willingness to pay. Second, it was found that the willingness to pay among the factors of the willingness to pay has a significant effect on both the functional orientation and the brand orientation of the buying behavior, assuming that the buying behavior on the willingness to pay may affect the consumer’s purchasing behavior. However, it was found that the upward tendency of payment intention was a factor affecting function orientation, but it did not affect brand orientation. Based on the above results, Jewelry stores should make efforts to provide professional information to consumers and have expertise. In addition, because consumers find it difficult to translate all of their efforts into costs, they can expect that consumers will prefer to purchase products at the Jewelry store, which is generally acceptable for their efforts, even at the cost of making purchases at the Jewelry store they trust, which reduces the risk and uncertainty of transactions, and can also result in better product behavior.

Allure of the Abroad: Tiffany & Co., Its Cultural Influence, and Consumers

Allure of the Abroad: Tiffany & Co., Its Cultural Influence, and Consumers

A Lattice Path Interpretation of the Diamond Product

The diamond product is the poset operation that when applied to the face lattices of two polytopes results in the face lattice of the Cartesian product of the polytopes. Application of the diamond product to two Eulerian posets is a bilinear operation on the cd-indices of the two posets, yielding a product on cd-polynomials. A lattice path interpretation is provided for this product of two cd-monomials.

Web Matrices: Structural Properties and Generating Combinatorial Identities

In this paper we present new results for the combinatorics of web diagrams and web worlds. These are discrete objects that arise in the physics of calculating scattering amplitudes in non-abelian gauge theories. Web-colouring and web-mixing matrices (collectively known as web matrices) are indexed by ordered pairs of web-diagrams and contain information relating the number of colourings of the first web diagram that will produce the second diagram.We introduce the black diamond product on power series and show how it determines the web-colouring matrix of disjoint web worlds. Furthermore, we show that combining known physical results with the black diamond product gives a new technique for generating combinatorial identities. Due to the complicated action of the product on power series, the resulting identities appear highly non-trivial.We present two results to explain repeated entries that appear in the web matrices. The first of these shows how diagonal web matrix entries will be the same if the comparability graphs of their associated decomposition posets are the same. The second result concerns general repeated entries in conjunction with a flipping operation on web diagrams.We present a combinatorial proof of idempotency of the web-mixing matrices, previously established using physical arguments only. We also show how the entries of the square of the web-colouring matrix can be achieved by a linear transformation that maps the standard basis for formal power series in one variable to a sequence of polynomials. We look at one parameterized web world that is related to indecomposable permutations and show how determining the web-colouring matrix entries in this case is equivalent to a combinatorics onwords problem.

The Largest Demigenus Over All Signatures on K 3,n

The signed graph $${(G,\sigma)}$$ ( G , � ) is a graph G = (V, E) with a signature $${\sigma}$$ � from E to sign group {+, �}. A signed graph is orientation embedded in a surface when it is 2-cellular embedded so that the positive cycles are orientation preserving and the negative cycles are orientation reversing. The demigenus of a signed graph $${(G,\sigma)}$$ ( G , � ) is the minimal Euler genus over all surfaces S in which $${(G,\sigma)}$$ ( G , � ) can be orientation embedded. Finding the largest demigenus over all signatures on the complete bipartite graph K m,n is an open problem (Archdeacon, in Problems in topological graph theory, an ongoing online list of open problems, http://www.cems.uvm.edu/~darchdea/problems/signknm.htm ). In this paper, by introducing diamond product for signed graphs, the largest demigenus over all signatures on the complete bipartite graph K 3,n is determined.

Ultrananocrystalline and Nanocrystalline Diamond Thin Films for MEMS/NEMS Applications

AbstractThere has been a tireless quest by the designers of micro- and nanoelectro mechanical systems (MEMS/NEMS) to find a suitable material alternative to conventional silicon. This is needed to develop robust, reliable, and long-endurance MEMS/NEMS with capabilities for working under demanding conditions, including harsh environments, high stresses, or with contacting and sliding surfaces. Diamond is one of the most promising candidates for this because of its superior physical, chemical, and tribomechanical properties. Ultrananocrystalline diamond (UNCD) and nanocrystalline diamond (NCD) thin films, the two most studied forms of diamond films in the last decade, have distinct growth processes and nanostructures but complementary properties. This article reviews the fundamental and applied science performed to understand key aspects of UNCD and NCD films, including the nucleation and growth, tribomechanical properties, electronic properties, and applied studies on integration with piezoelectric materials and CMOS technology. Several emerging diamond-based MEMS/NEMS applications, including high-frequency resonators, radio frequency MEMS and photonic switches, and the first commercial diamond MEMS product—monolithic diamond atomic force microscopy probes—are discussed.

Sarin社製ダイヤモンド・カラーグレーディング装置「ColibriTM」 の実用性

Sarin社製ダイヤモンド・カラーグレーディング装置「ColibriTM」 の実用性

Developments of Industrial Diamond Industry in China

The development of China as the world's manufacturing house is best exemplified in the industry of diamond superabrasives. Diamond is indispensable in the creation of industrial infrastructure, including the construction of roads and building of houses. The diamond market was previously dominated by countries outside China. However, a "great leap forward" has taken in China with rapid expansion in Chinese diamond-making capabilities from the enlargement of the equipment (cubic presses) and improvements in diamond yield and product quality in the end of last century. In the new millennium, China outpaced the rest world combined in the total diamond output, became the largest producer in the world indubitably. This paper presents the progress in recent years based on the statitics, and also an outlook of the future development of the Chinese superabrasives industry based on the Chinese macroeconomics and the recent data of the end-users as well as their future development trend.

Diamonds (atomic structure and properties)

The atomic structure and properties of diamonds, which can now be routinely synthesized, are examined. Applications of synthetic diamonds, are described. The range of applications includes cutting, grinding, rolling (bearings), transferring pressure, decreasing friction, and recently in electronics. They are most commonly used for a hard edge on cutting tools. Problems associated with diamond manufacturing and product development are discussed.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>