Completely balanced block designs with nonuniform block dimension

1977 ◽  
Vol 5 (11) ◽  
Author(s):  
Bronisław Ceranka
Keyword(s):  
Block Designs ◽  
Block Dimension

Block designs for variety trials

1978 ◽  
Vol 90 (2) ◽  
pp. 395-400 ◽  
Author(s):  
H. D. Patterson ◽  
E. R. Williams ◽  
E. A. Hunter
Keyword(s):  
Block Designs ◽  
Incomplete Block ◽  
Variety Trials ◽  
Rectangular Lattices

SummaryIn this paper we present a series of resolvable incomplete block designs suitable for variety trials with any number of varieties v in the range 20 ≤v ≤ 100. These designs usefully supplement existing square and rectangular lattices. They are not necessarily optimal in the sense of having smallest possible variances but their efficiencies are known to be high.

scholarly journals Colorings of (r, r)-Uniform, Complete, Circular, Mixed Hypergraphs

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 828
Author(s):  
Nicholas Newman ◽  
Vitaly Voloshin
Keyword(s):  
Block Designs ◽  
Connected Subgraph ◽  
Vertex Set ◽  
Mixed Hypergraph

In colorings of some block designs, the vertices of blocks can be thought of as hyperedges of a hypergraph H that can be placed on a circle and colored according to some rules that are related to colorings of circular mixed hypergraphs. A mixed hypergraph H is called circular if there exists a host cycle on the vertex set X such that every edge (C- or D-) induces a connected subgraph of this cycle. We propose an algorithm to color the (r,r)-uniform, complete, circular, mixed hypergraphs for all feasible values with no gaps. In doing so, we show χ(H)=2 and χ¯(H)=n−s or n−s−1 where s is the sieve number.

scholarly journals Crop Response to Leaf and Seed Applications of the Biostimulant ComCat® under Stress Conditions

Agronomy ◽  
2021 ◽  
Vol 11 (6) ◽  
pp. 1161
Author(s):  
Roland Gerhards ◽  
Fructueuse N. Ouidoh ◽  
André Adjogboto ◽  
Vodéa Armand Pascal Avohou ◽  
Berteulot Latus Sètondji Dossounon ◽  
...  
Keyword(s):  
Seed Treatment ◽  
Crop Production ◽  
Field Experiments ◽  
Nutrient Deficiency ◽  
Natural Compounds ◽  
Application Rate ◽  
Winter Barley ◽  
Block Designs ◽  
Crop Response ◽  
Yield Data

Although clear evidence for benefits in crop production is partly missing, several natural compounds and microorganisms have been introduced to the market as biostimulants. They are supposed to enhance nutrient efficiency and availability in the rhizosphere, reduce abiotic stress, and improve crop quality parameters. Biostimulants often derive from natural compounds, such as microorganisms, algae, and plant extracts. In this study, the commercial plant extract-based biostimulant ComCat® was tested in two field experiments with maize in the communities of Banikoara and Matéri in Northern Benin and six pot experiments (four with maize and two with winter barley) at the University of Hohenheim in Germany. Maize was grown under nutrient deficiency, drought, and weed competition, and winter barley was stressed by the herbicide Luximo (cinmethylin). ComCat® was applied at half, full, and double the recommended field rate (50, 100, and 200 g ha−1) on the stressed and unstressed control plants as leaf or seed treatment. The experiments were conducted in randomized complete block designs with four replications. The above-ground biomass and yield data of one experiment in Benin were collected. The biostimulant did not promote maize and winter barley biomass production of the unstressed plants. When exposed to stress, ComCat@ resulted only in one out of eight experiments in higher barley biomass compared to the stressed treatment without ComCat® application. There was a reduced phytotoxic effect of cinmethylin after seed treatment with ComCat®. Crop response to ComCat® was independent of the application rate. Basic and applied studies are needed to investigate the response of crops to biostimulants and their mechanisms of action in the plants before they should be used in practical farming.

On the construction of group divisible incomplete block designs

1975 ◽  
Vol 3 (2) ◽  
pp. 285-288
Author(s):  
H. T. Trivedi ◽  
V. K. Sharma
Keyword(s):  
Block Designs ◽  
Incomplete Block ◽  
Group Divisible

scholarly journals Block Design-Based Asynchronous Neighbor Discovery Protocol for Wireless Sensor Networks

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Sangil Choi ◽  
Wooksik Lee ◽  
Teukseob Song ◽  
Jong-Hoon Youn
Keyword(s):  
Wireless Sensor Networks ◽  
Sensor Networks ◽  
Simulation Study ◽  
Mathematical Proof ◽  
Block Design ◽  
Wireless Sensor ◽  
Neighbor Discovery ◽  
Block Designs ◽  
Worst Case ◽  
Neighbor Discovery Protocol

Neighbor discovery is a significant research topic in wireless sensor networks. After wireless sensor devices are deployed in specific areas, they attempt to determine neighbors within their communication range. This paper proposes a new Block design-based Asynchronous Neighbor Discovery protocol for sensor networks calledBAND. We borrow the concept of combinatorial block designs for neighbor discovery. First, we summarize a practical challenge and difficulty of using the original block designs. To address this challenge, we create a new block generation technique for neighbor discovery schedules and provide a mathematical proof of the proposed concept. A key aspect of the proposed protocol is that it combines two block designs in order to construct a new block for neighbor discovery. We analyze the worst-case neighbor discovery latency numerically between our protocol and some well-known protocols in the literature. Our protocol reveals that the worst-case latency is much lower than others. Finally, we evaluate the performance ofBANDand existing representative protocols through the simulation study. The results of our simulation study show that the average and maximum latency ofBANDis about 40% lower than that of existing protocols. Furthermore,BANDspends approximately 30% less energy than others during the neighbor discovery process.

Incomplete Split-Block Designs

1997 ◽  
Vol 39 (2) ◽  
pp. 227-238 ◽  
Author(s):  
Franz Hering ◽  
Stanislaw Mejza
Keyword(s):  
Block Designs
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