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In this paper, we present 16 new types of three holey mutually orthogonal Latin squares (3-HMOLS for short) with equal-sized holes, along with 7 sets of 4-HMOLS, 2 sets of 6-HMOLS, and 34 sets of 7-HMOLS ... We also provide some new sets of HMOLS that have n holes of size 2 and one hole of size 3. ... Vincent University when part of this resarch was done and wishes to thank their Department of Mathematics for the services provided. ...doi:10.1016/s0012-365x(97)00021-6 fatcat:ntkvmnkfz5balnz7z6eazeop5a
We generalize a difference matrix method that had been used previously for explicit constructions of HMOLS. An estimate of R.M. ... For h≥ 2, relatively little is known about the quantity N(h^n), which denotes the maximum number of 'HMOLS' or mutually orthogonal latin squares having a common equipartition into n holes of a fixed size ... The outline of the rest of the paper is as follows. In Section 2, we obtain a direct construction of k HMOLS of type h q for large prime powers q. ...arXiv:2008.08788v1 fatcat:nq7ot5kqlrfovmlw5xilaa2uzm
Julian R. (5-NSW-SM; Sydney); Zhang, Hantao (1-1A-C; lowa City, 1A) Direct constructions for certain types of HMOLS. ... (English summary) Discrete Math. 181 (1998), no. 1-3, 1-17 Summary: “In this paper we present 16 new types of three holey mutually orthogonal Latin squares (3-HMOLS for short) with equal-sized holes, along ...
Zhang, Direct constructions for certain types of HMOLS (1-3 Alon, N. and E. Halperin, Bipartite subgraphs of integer weighted graphs (1-3 Amar, D., S. Brandt, D. Brito and O. ... Ordaz, Neighborhood conditions for balanced independent sets in bipartite graphs (1 3 B6na, M., Permutations with one or two 132-subsequences (Note) (1 3 Bogart, K.P. and G. ...doi:10.1016/s0012-365x(97)82062-6 fatcat:sqdp43rjovam5az5gxnwxknhxq
Summary: “In this paper, two new direct construction methods are given for holey self-orthogonal Latin squares with a symmetric orthogonal mate (HSOLSSOMs). ... The known existence re- sults for HSOLSSOMs of types 1”! ...
The contribution of Hmol into HmolNet ranges from 35 to 95% (mean 79%, SD 6%), and the subset of bearing intermolecular contacts accounts for 41 to 100% (mean 62%, SD 11%) of the complexity of the full ... The normalized value of HmolNet is of the logistic distribution type and is distributed near 0.85HmolNet with a small standard deviation. ... Any graph with certain types of vertices may be considered as a message, as well. ...doi:10.3390/sym14020220 fatcat:bei3yqqv2fcabpqgaou55xw5pu
In this paper we study the spectra of certain classes of Room frames. The three spectra are incomplete Room squares, uniform Room frames and Room frames of type $2^ut^1$. ... These problems have been studied in numerous papers over the years; in this paper, we complete the three spectra except for one possible exception in each case. ... Acknowledgements Part of this research was done while the second author was visiting the University of Nebraska-Lincoln in March 1994, with support from the Center for Communication and Information Science ...doi:10.37236/1187 fatcat:yiwecpiy6rfefmv6bjmduvhyl4
Anticancer drugs BMS-754807 (selective for IGF1R/IR), 17-(allylamino)-17-demethoxygeldanamycin (17-AAG, targeting Hsp90), and axitinib (directed toward VEGFR1-3/PDGFRA-B/KIT) induced growth inhibition ... of human QGP-1 PET cells with IC 50 values (nM) of 273, 723, and 743, respectively. ... of the tumor samples selected for constructing the TMA are listed, by case, in Supplementary Table 1 (Supplemental Digital Content 1, http://links.lww.com/MPA/A198). ...doi:10.1097/mpa.0b013e31826cb243 pmid:23211371 pmcid:PMC3594087 fatcat:qzctvh2jzrepdpy6ykxk257kwy
Basic quantum systems of a two-level atom, two-level molecule, and a three-level system are considered and analytic expressions of the third-order signal are derived at certain limits. ... Effects of motional narrowing of one-dimensional J-aggregates of pseudoisocyanine and construction of the J-band as well as highly-efficient excitonic energy transfer in photosynthetic Fenna-Matthews-Olson ... The above given relationships may break for certain cases. ...doi:10.3952/lithjphys.50305 fatcat:eafsyub5nvgtxkglcxurtq2sre
As a preliminary result, some new 4-GDDs of type g u m 1 are also constructed. ... A mandatory representation design MRD(K; v) is a pairwise balanced design on v points with block sizes from the set K in which for each k ∈ K there is at least one block in the design of size k. ... Acknowledgements The author wishes to thank the referees for their helpful comments. ...doi:10.1016/j.disc.2003.09.005 fatcat:eil7rf5xyzgz7i7flats36gdum
A new suicide vector, pRVS1, was constructed to facilitate the site-directed introduction of unmarked mutations in the chromosome of Paracoccus denitrificans. ... Suicide vectors pGRPd1 and pRVS1 were used in gene replacement techniques for the construction of mutant strains with multiple mutations in the cycA, moxG, and cycB genes encoding the periplasmic cytochromes ... ACKNOWLEDGMENTS This research was supported by the Netherlands Foundation for Chemical Research, with financial aid from the Netherlands Organization for the Advancement of Science. ...pmid:1657872 pmcid:PMC209050 fatcat:uunsqead35b7jlmg7xrtrv5k3e
A new suicide vector, pRVS1, was constructed to facilitate the site-directed introduction of unmarked mutations in the chromosome of Paracoccus denitrificans. ... Suicide vectors pGRPd1 and pRVS1 were used in gene replacement techniques for the construction of mutant strains with multiple mutations in the cycA, moxG, and cycB genes encoding the periplasmic cytochromes ... ACKNOWLEDGMENTS This research was supported by the Netherlands Foundation for Chemical Research, with financial aid from the Netherlands Organization for the Advancement of Science. ...doi:10.1128/jb.173.21.6962-6970.1991 fatcat:2joz7q5merarpoewnpdozytxtq
Our next construction is a generalized form of the above direct product construction for quasigroups, and it is originally due to Sade  who called it "produit direct-singular". ... The most direct method of constructing finite models of a quasigroup ((? ... Applications of Lemmas 5. 19 ...doi:10.4153/cjm-1989-017-0 fatcat:qimkv6b2kzawfdl2yoqweykqee
Our approach offers a new paradigm for studying the quantum chemical dynamics and vibrational spectra of molecules, and when combined with quantum algorithms for electronic structure, opens the possibility ... For a range of initial states, we experimentally drive the ion-trap system to emulate the quantum trajectory of the shared proton wavepacket as it evolves along the potential surface generated by the nuclear ... ACKNOWLEDGEMENTS The work of P.R., D.S., J.M.S., A.S., and S.S.I are supported by the U.S. ...arXiv:2204.08571v1 fatcat:emqyogvtnvai5bh2sbc3oy4qqe
Several strategies for simulating the ultrafast dynamics of molecules induced by interactions with electromagnetic fields are presented. ... In addition to the general overview, some focus is given to the description of nuclear quantum effects and to the direct dynamics, in which the ab initio energies and forces acting on the nuclei are evaluated ... M.M. would like to thank University of Basel, while J.V. and U.R. are thankful to EPFL for support. ...doi:10.1063/1.4996559 pmid:29376107 pmcid:PMC5758379 fatcat:jmr4xa45dnfjpaa6s4zk2m6phq
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