http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Sridevi, R.,Navaneethakrishnan, S.,Nagarajan, A.,Nagarajan, K. The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.5
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.
R. Sridevi,S. Navaneethakrishnan,A. Nagarajan,K. Nagarajan 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.5
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, ... , 2q +1} such that,when each edge uv is assigned the label| f(u) - f(v)|, the resulting edge labels are {2, 4, 6, ..., 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 Pn, P+n , K1,n, K1,2,n, Km,n, Bm,n are Odd-Even graceful.
V. Aravinth,G. Gurumoorthi,S. Vishvanathperumal,V. Navaneethakrishnan 한국고분자학회 2023 폴리머 Vol.47 No.3
Nanocomposites were created by using nanographene oxide (GO) as a reinforcing filler into silicone rubber and evaluating the materials' mechanical and abrasion resistance properties. GO was treated with 4,4'-diphenylmethane diisocyanate (MDI), then mixed with phenyl silicone rubber (PSR) at different concentrations (2-10 phr) and vulcanised. It was investigated the impact of MDI modified GO concentration on the morphology of PSR nanocomposites. The swelling properties of silicone rubber/MDI modified GO nanocomposites were also investigated in relation to penetrants (aromatic, aliphatic, and chlorinated solvents) and nanofiller concentrations (0-10 phr). Due to greater dispersion and reinforcing impact, mechanical parameters (tensile strength and modulus), and swelling resistance of silicone nanocomposites improve with MDI-GO concentration. The rate of rise is constant up to a concentration of 6 phr MDI-GO, after which it drops, confirming the formation of agglomeration. The MDI modification of GO improves the dispersion of MDI-GO in silicone rubber considerably, according to FESEM analysis. Because of its strong contact with the polymer matrix, GO serves as reinforcement. This research expands the range of applications for GO in the silicone rubber sector.
Effect of Nanographene Oxide on the Mechanical Properties of EPDM/SBRNano-composites
P. C. Prakash,G. Gurumoorthi,V. Navaneethakrishnan,S. Vishvanathperumal 한국고분자학회 2023 폴리머 Vol.47 No.4
The curing (optimum cure (t90) and scorch time (ts2), cure rate index (CRI), torque difference (ΔM), maximum torque (Mh) and minimum torque (Ml)), physical (hardness, rebound resilience, compression set and abrasion resistance), and mechanical properties (tensile strength, tensile modulus, tear strength and elongation at break) of ethylene-propylene-diene monomer terpolymer (EPDM)/styrene-butadiene copolymer rubber (SBR) nano-composites with additions of modified nano-graphene oxide (mGO) for possible usage as flexible and durable materials were examined in this study. Nano-graphene oxide (GO) was treated with two types of surfactants, 3-aminopropyltriethoxysilane (KH550) coupling agent and 4,4'-diphenylmethane diisocyanate (MDI), and then incorporated into an EPDM/SBR rubber matrix at a varying loading (2-10 phr), mixed by an open mill mixer, and vulcanized by hydraulic press. The particle size altered after modification, and the modified GO diffused efficiently in the EPDM/SBR rubber matrix, according to the FESEM. The MDI modified GO nano-composites have better mechanical properties than the KH550 modified GO nano-composites. The findings suggest that the produced nano-composites could be employed in a diversity of outdoor uses, including window seals, door seals and cooling system hoses.