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Bounding graphical t-wise balanced designs

Leo G. Chouinard
1996 Discrete Mathematics  
A t-wise balanced design (X,.8) with parameters t-((~), K, )J is said to be 9raphical if.~ is fixed under the action of S,.  ...  We show that for any pair (t, 2) with t > 1 or 2 odd, there cannot exist a non-trivial graphical t-((~), K,)J design with n ~> 2t + 2 + 4.  ...  Basics about graphical tBDs A pair (X, .~) is a t-wise balanced design of type t-(v, K, 2) if ~ = (B/: i ~ I ) is a family of subsets of X, called blocks, such that (i)[XI = v is a natural number: (ii)  ... 
doi:10.1016/0012-365x(95)00117-f fatcat:37nz6iq42fe2ljlynubphtdhk4

Page 4445 of Mathematical Reviews Vol. , Issue 84k [page]

1984 Mathematical Reviews  
The authors determine all graphical t-wise balanced designs with A=1 or 2 and list all small designs with A=3.  ...  L.(1-NE) Graphical -wise balanced designs. Discrete Math. 46 (1983), no. 3, 227-240.  ... 

Page 2765 of Mathematical Reviews Vol. , Issue 97E [page]

1997 Mathematical Reviews  
., II (1-NE; Lincoln, NE) Bounding graphical /-wise balanced designs. (English summary) Discrete Math. 159 (1996), no. 1-3, 261-263.  ...  A t-wise balanced design (X,.4) with parameters 1- ((4),.K,4) is said to be graphical if @ is fixed under the action of S,.  ... 

Page 4733 of Mathematical Reviews Vol. , Issue 911 [page]

1991 Mathematical Reviews  
The author explores the common thread underlying the notions of t-wise balanced block designs, spherical and Euclidean ¢-designs, cubature formulae and measures of strength ¢.  ...  All OSB Designs and configurations 91i:05044 matroids attaining the upper bound are graphic. A similar bound for critically connected matroids was given by U. S. R.  ... 

Page 2211 of Mathematical Reviews Vol. , Issue 2001D [page]

2001 Mathematical Reviews  
The authors give a complete determination of all proper Steiner graphical t-wise balanced designs whose automorphism group contains the wreath product of S, and S, acting on the set of n*(5) edges of the  ...  Xiao Dong Hu (PRC-ASBJ-AM; Beijing) 20014:05021 2001d:05018 05B05 Olsen, Cheryl L. (1-SHIP-CS; Shippensburg, PA); Kreher, Donald L. (1-MITU; Houghton, MI) Steiner graphical t-wise balanced designs of type  ... 

The covering radius of doubled 2-designs in 2 Ok

Patrick Solé, Arif Ghafoor
1991 Discrete Applied Mathematics  
In particular, when k is even, we take this design to be a Hadamard design. We obtain upper and lower bounds ori this parameter for large values of k.  ...  The following problem originated from interconnection network considerations: what is the graphical covering radius of a doubled 2-design in the antipodal double cover of the odd graph 20k?  ...  Recall first that a t-wise balanced design (cf. 18, p. 271) on a (finite) set X v&h o elements is a collection B of subsets of X (called blocks) with the property that every t-subset of X belongs to the  ... 
doi:10.1016/0166-218x(91)90117-f fatcat:7qwg7sovx5ekjfvo7y6jxqgq2m

Attribute-conditioned Layout GAN for Automatic Graphic Design [article]

Jianan Li, Jimei Yang, Jianming Zhang, Chang Liu, Christina Wang, Tingfa Xu
2020 arXiv   pre-print
Modeling layout is an important first step for graphic design. Recently, methods for generating graphic layouts have progressed, particularly with Generative Adversarial Networks (GANs).  ...  Due to the complexity of graphic designs, we further propose an element dropout method to make the discriminator look at partial lists of elements and learn their local patterns.  ...  to better balance different design principles for layout optimization.  ... 
arXiv:2009.05284v1 fatcat:mu7pkg6uhfcrzk7vn3tf5gq5mm

Direct Work Exchange Networks Synthesis of Isothermal Process Based on Superstructure Method

Y. Zhuang, L. Liu, J. Du
2017 Chemical Engineering Transactions  
The results indicate that our approach yields a network with 20.0 % lower TAC and 18.8 % lower TAC, compared with that of transshipment model and graphical method.  ...  Two upgraded stage-wise superstructures with and without stream splits are developed, which explicitly include entire feasible matches, and handle all the parameters and possible network structures.  ...  i HU i t Wz    (16) , , , , LU j s j LU j s Wz    , , , , , LU j k j LU j k Wz    , , , , , LU j t j LU j t Wz    (17) where the upper bounds are as follows. , min{ , } i j i j WW  , i i  ... 
doi:10.3303/cet1761020 doaj:488f4b649d2e436797272b49febf0652 fatcat:z2nhpuv2unbpdi7dmnkg4zwvem

Page 5933 of Mathematical Reviews Vol. , Issue 89K [page]

1989 Mathematical Reviews  
This yields up- per bounds for codes, and lower bounds for designs, in terms of dimensions of spaces of polynomials.  ...  They are the natu- ral analogue of graphic matroids.  ... 

Controllability and Observability of Systems of Linear Delay Differential Equations Via the Matrix Lambert W Function

Sun Yi, Patrick W. Nelson, A. Galip Ulsoy
2008 IEEE Transactions on Automatic Control  
The solution form enables one to put the results for point-wise controllability and observability of systems of delay differential equations to practical use.  ...  We derive the criteria for point-wise controllability and observability, obtain the analytical expressions for their Gramians in terms of the parameters of the system, and develop a method to approximate  ...  For systems of ODEs, the balanced realization has been studied because of its desirable properties such as good error bounds, computational simplicity, stability, and its close connection to robust multi-variable  ... 
doi:10.1109/tac.2008.919549 fatcat:in6xv65b3zbjrflytias4ho7l4

Controllability and Observability of Systems of Linear Delay Differential Equations via the Matrix Lambert W Function

Sun Yi, Patrick W. Nelson, A. Galip Ulsoy
2007 American Control Conference (ACC)  
The solution form enables one to put the results for point-wise controllability and observability of systems of delay differential equations to practical use.  ...  We derive the criteria for point-wise controllability and observability, obtain the analytical expressions for their Gramians in terms of the parameters of the system, and develop a method to approximate  ...  For systems of ODEs, the balanced realization has been studied because of its desirable properties such as good error bounds, computational simplicity, stability, and its close connection to robust multi-variable  ... 
doi:10.1109/acc.2007.4282376 dblp:conf/acc/YiNU07 fatcat:dyelxi5lqjggxoz6waaxd6r3c4

Expressing Special Structures in an Algebraic Modeling Language for Mathematical Programming

Robert Fourer, David M. Gay
1995 Orsa Journal On Computing  
We observe that our extensions sometimes make models faster to translate as well as to solve, and that they permit a "column-wise" formulation of the constraints as an alternative to the "row-wise" formulation  ...  Our emphasis is on the modeling considerations that motivate these extensions, and on the design issues that arise in integrating these extensions with the general-purpose features of the language.  ...  Thus within the train example, the U[c,t] arcs are from N[c,t] and to N[c,next(t)], while the X[c1,t1,c2,t2] arcs are from N[c1,t1] and to N[c2,t2]. arc Flow {(i,j) in A}: from Balance[i], to Balance[  ... 
doi:10.1287/ijoc.7.2.166 fatcat:ueb4xbt6v5fepl5kv56gheuc3a

Efficient Solution Strategy for Stage-wise MINLP Model of Interplant Heat Integration using Heat Recovery Loop

C. Chang, Y. Wang, X. Feng, P. Zhang
2015 Chemical Engineering Transactions  
Based on economic criteria, this paper presents a stage-wise MINLP model for HRL designs considering the factors aforementioned.  ...  The distance plays a significant role in the design of HRL and it significantly affects the investment of pipelines. The optimum results show that the influence of pumps is relatively less.  ...  The parameter is an upper bound for the temperature difference.  ... 
doi:10.3303/cet1545012 doaj:844383bd10dd4050825c4e46f2a09e64 fatcat:qavkflo6fnbupbapdtcztcybqu

Deep Floor Plan Recognition Using a Multi-Task Network with Room-Boundary-Guided Attention [article]

Zhiliang Zeng and Xianzhi Li and Ying Kin Yu and Chi-Wing Fu
2019 arXiv   pre-print
Furthermore, we design a cross-and-within-task weighted loss to balance the multi-label tasks and prepare two new datasets for floor plan recognition.  ...  To this end, we model a hierarchy of floor plan elements and design a deep multi-task neural network with two tasks: one to learn to predict room-boundary elements, and the other to predict rooms with  ...  Further, we design a cross-and-within-task weighted loss to balance the losses within each task and across tasks.  ... 
arXiv:1908.11025v1 fatcat:3a5jphe4sbdghgfdkrpkzdtsru

Optimization method to obtain marginal abatement cost-curve through EnergyPLAN software

Matteo Giacomo Prina, Fabio Capogna Fornaroli, David Moser, Giampaolo Manzolini, Wolfram Sparber
2021 Smart Energy  
This latter shape is particularly important for providing the explicit technological detail in the graphical representation.  ...  Moreover, model based methods obtain smooth curves which can be transformed in step-wise only through a decomposition analysis.  ...  A disadvantage of model-based approach is that the final result is not a step-wise MAC curve but a smooth one. This version generally omits the technological detail in the graphical representation.  ... 
doi:10.1016/j.segy.2021.100002 fatcat:tlnq6wefsrenxmastfwmjqslp4
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