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Partition energy of complete product of circulant graphs and some new class of graphs
E. Sampathkumar,S. V. Roopa,K. A. Vidya,M. A. Sriraj 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.2
Let G = (V,E) be a graph and Pk = {V1, V2, ..., Vk} be a partition of V . The L-matrix with respect to a partition Pk of the vertex set V of graph G of order n is the unique square symmetric matrix Pk(G) = [aij ] with zero diagonal, whose entries aij with i 6≠ j are defined as follows: (i) If vi, vj ∈ Vr, then aij = 2 or −1 according as vivj is an edge or not. (ii) If vi ∈ Vr and vj ∈ Vs for r 6≠s, then aij = 1 or 0 according as vivj is an edge or not. For all Vi and Vj in Pk, i 6≠j remove the edges between vertices of Vi and Vj and add the edges between the vertices of Vi and Vj which are not in G, the resulting graph is called k-complement of G and is denoted by (G)k. For each set Vr in Pk, remove the edges of G joining the vertices within Vr and add the edges of G (complement of G) joining the vertices of Vr, the graph obtained is called k(i)-complement and is denoted by (G)k(i). The k-partition energy of a graph G with respect to partition Pk is denoted by EPk (G) and is defined as the sum of the absolute values of k-partition eigenvalues of Pk(G). In this paper we construct some graphs such that the graph and its 2-complement are equienergetic with respect to a given partition. We also determine partition energy of complete product of m copies of a circulant graph G and its subgraph, their k-complement and k(i)-complement.
M. V. Ganeswara Rao,N. Ramanjaneyulu,Balamurali Pydi,Umamaheshwar Soma,K. Rajesh Babu,Satti Harichandra Prasad 한국전기전자재료학회 2023 Transactions on Electrical and Electronic Material Vol.24 No.6
The rapid advancement in nanoscale devices demands innovative gate dielectric materials to replace traditional Silicon dioxide. This paper investigates the electrical behavior and performance of a dual-gate FinFET employing different high-K gate dielectric materials (Silicon dioxide, Hafnium oxide, Titanium oxide) through ATLAS 2D simulation in 5 nm technology. We analyze how these high-K gate dielectric materials influence the device, focusing on performance enhancement. The study highlights various key performance parameters (ION, IOFF, gm, gds, RON, TF, EV, V IL, V IH, NML, NMH) and reveals a significant performance improvement with HfO2 dielectric material in the proposed Dual-Gate FinFET. Achieving impressive performance parameters ( ION : 21.59 mA, IOFF : 21 µA, Maximum net Electric field: 1221290 V/cm, g m(max) : 0.05187 S, gds(max) : 0.03462 S, RON(max) : 25.93 kΩ , TFmax: 5.02, G ainmax : 90.233, EVmax : 67.532 V, V IL : 0.21 V, V IH : 0.4 V, NML : 198 V, NMH : 600 V), this paper provides valuable insights for designing high-performance devices with HfO2 dielectric material.
Belle Collaboration,Vinokurova, A.,Kuzmin, A.,Eidelman, S.,Arinstein, K.,Aulchenko, V.,Aushev, T.,Bakich, A.M.,Balagura, V.,Barberio, E.,Belous, K.,Bhardwaj, V.,Bondar, A.,Bozek, A.,Bracko, M.,Brodzic North-Holland Pub. Co 2011 Physics letters: B Vol.706 No.2
We report the results of a study of B<SUP>+/-</SUP>→K<SUP>+/-</SUP>η<SUB>c</SUB> and B<SUP>+/-</SUP>→K<SUP>+/-</SUP>η<SUB>c</SUB>(2S) decays followed by η<SUB>c</SUB> and η<SUB>c</SUB>(2S) decays to (K<SUB>S</SUB>Kπ)<SUP>0</SUP>. The results are obtained from a data sample containing 535 million BB@?-meson pairs collected by the Belle experiment at the KEKB e<SUP>+</SUP>e<SUP>-</SUP> collider. We measure the products of the branching fractions B(B<SUP>+/-</SUP>→K<SUP>+/-</SUP>η<SUB>c</SUB>)B(η<SUB>c</SUB>→K<SUB>S</SUB>K<SUP>+/-</SUP>π<SUP>@?</SUP>)=(26.7+/-1.4(stat)<SUB>-2.6</SUB><SUP>+2.9</SUP>(syst)+/-4.9(model))x10<SUP>-6</SUP> and B(B<SUP>+/-</SUP>→K<SUP>+/-</SUP>η<SUB>c</SUB>(2S))B(η<SUB>c</SUB>(2S)→K<SUB>S</SUB>K<SUP>+/-</SUP>π<SUP>@?</SUP>)=(3.4<SUB>-1.5</SUB><SUP>+2.2</SUP>(stat+model)<SUB>-0.4</SUB><SUP>+0.5</SUP>(syst))x10<SUP>-6</SUP>. Interference with the non-resonant component leads to significant model uncertainty in the measurement of these product branching fractions. Our analysis accounts for this interference and allows the model uncertainty to be reduced. We also obtain the following charmonia masses and widths: M(η<SUB>c</SUB>)=(2985.4+/-1.5(stat)<SUB>-2.0</SUB><SUP>+0.5</SUP>(syst)) MeV/c<SUP>2</SUP>, Γ(η<SUB>c</SUB>)=(35.1+/-3.1(stat)<SUB>-1.6</SUB><SUP>+1.0</SUP>(syst)) MeV/c<SUP>2</SUP>, M(η<SUB>c</SUB>(2S))=(3636.1<SUB>-4.2</SUB><SUP>+3.9</SUP>(stat+model)<SUB>-2.0</SUB><SUP>+0.7</SUP>(syst)) MeV/c<SUP>2</SUP>, Γ(η<SUB>c</SUB>(2S))=(6.6<SUB>-5.1</SUB><SUP>+8.4</SUP>(stat+model)<SUB>-0.9</SUB><SUP>+2.6</SUP>(syst)) MeV/c<SUP>2</SUP>.
Belle Collaboration,Chen, W.T.,Abe, K.,Abe, K.,Adachi, I.,Aihara, H.,Anipko, D.,Aulchenko, V.,Bakich, A.M.,Barberio, E.,Bay, A.,Bedny, I.,Bitenc, U.,Bizjak, I.,Blyth, S.,Bondar, A.,Bozek, A.,Bracko, M North-Holland Pub. Co 2007 Physics letters: B Vol.651 No.1
K<SUB>S</SUB><SUP>0</SUP>K<SUB>S</SUB><SUP>0</SUP> production in two-photon collisions has been studied using a 397.6 fb<SUP>-1</SUP> data sample collected with the Belle detector at the KEKB e<SUP>+</SUP>e<SUP>-</SUP> collider. For the first time the cross sections are measured in the two-photon center-of-mass energy range between 2.4 GeV and 4.0 GeV and angular range |cosθ<SUP>*</SUP>|<0.6. Combining the results with measurements of γγ->K<SUP>+</SUP>K<SUP>-</SUP> from Belle, we observe that the cross section ratio σ(K<SUB>S</SUB><SUP>0</SUP>K<SUB>S</SUB><SUP>0</SUP>)/σ(K<SUP>+</SUP>K<SUP>-</SUP>) decreases from ∼0.13 to ∼0.01 with increasing energy. Signals for the χ<SUB>c0</SUB> and χ<SUB>c2</SUB> charmonium states are also observed.
Inclusive and exclusive measurements ofBdecays toχc1andχc2at Belle
Bhardwaj, V.,Miyabayashi, K.,Panzenbö,ck, E.,Trabelsi, K.,Frey, A.,Abdesselam, A.,Adachi, I.,Aihara, H.,Al Said, S.,Arinstein, K.,Asner, D. M.,Atmacan, H.,Aulchenko, V.,Aushev, T.,Ayad, R.,Babu, V American Physical Society 2016 Physical Review D Vol.93 No.5
<P>We report inclusive and exclusive measurements for chi(c1) and chi(c2) production in B decays. We measure B(B -> chi X-c1) = (3.03 +/- 0.05 (stat) +/- 0.24(syst)) x 10(-3) and B(B -> chi X-c2) = (0.70 +/- 0.06 (stat) +/- 0.10(syst)) x 10(-3). For the first time, chi(c2) production in exclusive B decays in the modes B-0 -> chi(c2) pi K--(+) and B-0 -> chi(c2) pi(-)pi K-+(+) has been observed, along with first evidence for the B-0 -> chi(c2) pi K--(s)0 decay mode. For chi c1 production, we report the first observation in the B+ -> chi(c1) pi(-)pi K-+(+), B-0 -> chi(c1) pi(-)pi K-+(s)0 and B-0 -> chi(c1) pi(-)pi K-+(+) decay modes. Using these decay modes, we observe a difference in the production mechanism of chi(c2) in comparison to chi(c1) in B decays. In addition, we report searches for X(3872) and chi(c1) (2P) in the B+ -> (chi(c1) pi(+)pi(-))K+ decay mode. The reported results use 772 x 10(6) B (B) over bar events collected at the Upsilon(4S) resonance with the Belle detector at the KEKB asymmetric-energy e(+)e(-) collider.</P>
E. Sampathkumar,S. V. Roopa,K. A. Vidya,M. A. Sriraj 장전수학회 2015 Proceedings of the Jangjeon mathematical society Vol.18 No.4
Let G = (V,E) be a graph. Let V1, V2, . . . , Vk be non-empty disjoint subsets of V such that union equal to V . Then {V1, V2, . . . , Vk} is called partition of vertex set V . Using this partition the graph G can be uniquely represented by a matrix called L-matrix Pk(G), whose entries belong to the set {2, 1, 0,−1} and defined as follows: aij = 8>>< >>: 2 if vi and vj are adjacent within the partition Vi, −1 if vi and vj are non-adjacent within the partition Vi, 1 if vi and vj are adjacent between the partition Vi and Vj for i 6= j, 0 otherwise. The eigenvalues of this matrix are called k-partition eigenvalues of G. The k-partition energy EPk (G) is defined as the sum of the absolute values of kpartition eigenvalues of G. We determine partition energy of some known graphs and also obtain bounds for EPk (G).
K. V. Smyrnova,A. D. Pogrebnjak,V. M. Beresnev,S. V. Litovchenko,S. O. Borba‑Pogrebnjak,A. S. Manokhin,S. A. Klimenko,B. Zhollybekov,A. I. Kupchishin,Ya. O. Kravchenko,O. V. Bondar 대한금속·재료학회 2018 METALS AND MATERIALS International Vol.24 No.5
Nanostructured multicomponent (TiAlSiY)N coatings were fabricated by the cathodic-arc physical vapor deposition (CAPVD). In this study, a bias potential applied to the substrate was − 200 and − 500 V, and changes in structure and propertiesof coatings were investigated. Samples had a single-phase state with a face-centered cubic (FCC) lattice. Small crystallitesof about 7.5 nm and texture with [110] axis were observed at − 500 V. However, lower bias potential resulted in the formationof crystallites of about 41.6 nm with [111] preferred orientation. Moreover, coatings were characterized by superhardstate and demonstrated low wear, high abrasion and crack resistance. The testing of the polycrystalline cubic boron nitride(PCBN) cutting inserts covered with (TiAlSiY)N revealed an increase in the tool life coeffi cient during cutting by 1.66times in comparison with the base tool material. Therefore, (TiAlSiY)N coating is a perspective material for application asa protective layer in cutting tools.
V. Ström,K.S. Kim,B.J. Jönsson,S.C. Yu,A. Inoue,K.V. Rao 한국자기학회 1995 韓國磁氣學會誌 Vol.5 No.5
We have studied the magnetization in fields up to IT at 5K, the saturation magnetization dependence on temperature and the temperature dependence of AC-susceptibility at very low fields (5mOe to 50mOe) of glassy Fe_(91-x)Zr_7B₂Ni_x (x = 0, 5, 10, 15) alloys. The temperature dependence of the magnetization follows the predictions of spin wave excitations with long wavelengths. At zero Ni concentration there is a clear competition between ferromagnetic and antiferromagnetic interactions giving rise to spin-glass behaviour. The addition of Ni drastically modifies the magnetic properties: the antiferromagnetic exchange coupling is reduced and finally disappears, the spin wave stiffness increases from 39.5 to 87.3 meVŲ and Tc increases from 230 K to 478 K. We develop a simple model to quantify the competing interactions and to relate the antiferromagnelically coupled Fe moments to the Ni concentration. We find that the initial susceptibility increases with increasing Ni content along with a decrease of the temperature dependence.
K. V. Radha,Ramanathan Muralidharan,Pillaibakkam Bahukudumbi Sindhuja,Aswathi Sudalai 한국화학공학회 2013 Korean Journal of Chemical Engineering Vol.30 No.12
Industrial effluents are major pollution-causing agents for our environment. Our study focuses on utilizing effluents from different industries for efficient production of Polyhydroxybutyrate (PHB). Presence of PHB was identified by Sudan Black staining method. The PHB production parameters for Pseudomonas aeruginosa MTCC 4673were studied critically, and it was found that glucose with 8.5 mg/L (0.0550 g PHB/g substrate) PHB concentration yielded the highest among the carbon sources used. Peptone with 8.9 mg/L (0.0524 g PHB/g substrate) of PHB concentration,an incubation period of 48 h and at a pH of 7 yielded the optimum results. These studies were compared with those of Alcaligens latus MTCC 2311. Dairy effluents (DE) and tannery effluents (TE) were considered for the best possible substrate, for the production of PHB in an optimized media. The results indicated that the dairy effluents gave a higher yield of PHB. Amongst various dilution levels studied from 10-100% (v/v), 50% (v/v) concentration of the dairy effluent showed maximum PHB productivity of 0.0582 g PHB/g substrate. A comparison of the chemical oxygen demand (COD) and biological oxygen demand (BOD) from the results, showed a significant removal percentage of 78.97% BOD and 53.482% COD, which highlighted the importance of utilizing effluents for PHB production, in order to reduce the risk of toxic effluent discharge. FT-IR analysis was carried out to confirm the presence of PHB.
Spin and Charge Ordering in La1-xCaxMnO3 (x = 0.5 and 0.6) Thin Films
V. G. Prokhorov,박정수,K. K. Yu,S. Y. Park,V. A. Komashko,V. L. Svetchnikov,이영백 한국물리학회 2006 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.48 No.6
The magnetic and the transport properties of La0.5Ca0.5MnO3 and La0.4Ca0.6MnO3 films with different thickness were investigated. The electron-diffraction study showed that the charge-ordered phase was observed at room temperature for both films. A paramagnetic-to-ferromagnetic (FM) transition at TC 250 K upon cooling in the La0.5Ca0.5MnO3 films and an antiferromagnetic (AFM) phase appeared at TN . 140 K. In the La0.4Ca0.6MnO3 films only the AFM transition was observed at the same temperature. For the La0.5Ca0.5MnO3 film, the FM phase was shown to coexist with the AFM one at low temperatures, and the volume fraction of the FM phase did not exceed 30 %. The magnetoresistive properties of both films could be explained in the framework of the spin-assisted polaron-hopping model.