A direct product construction for 5-sparse triple systems

1997 ◽  
Vol 5 (6) ◽  
pp. 443-447 ◽  
Author(s):  
Alan C. H. Ling
Keyword(s):  
Direct Product ◽  
Triple Systems ◽  
Product Construction

scholarly journals Another Product Construction for Large Sets of Resolvable Directed Triple Systems

10.37236/203 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Hongtao Zhao
Keyword(s):  
New Product ◽  
Large Set ◽  
Triple Systems ◽  
Product Construction ◽  
Large Sets

A large set of resolvable directed triple systems of order $v$, denoted by LRDTS$(v)$, is a collection of $3(v-2)$ RDTS$(v)$s based on $v$-set $X$, such that every transitive triple of $X$ occurs as a block in exactly one of the $3(v-2)$ RDTS$(v)$s. In this paper, we use DTRIQ and LR-design to present a new product construction for LRDTS$(v)$s. This provides some new infinite families of LRDTS$(v)$s.

scholarly journals Recursive constructions for equidistant permutation arrays

1977 ◽  
Vol 24 (2) ◽  
pp. 216-223 ◽  
Author(s):  
P. J. Schellenberg ◽  
S. A. Vanstone
Keyword(s):  
Direct Product ◽  
Hamming Distance ◽  
Pairwise Balanced Design ◽  
Balanced Design ◽  
Permutation Arrays ◽  
Product Construction ◽  
Permutation Array ◽  
Recursive Constructions ◽  
Room Squares

AbstractAn equidistant permutation array (EPA) is a ν ×rarray defined on anr-set,R, such that (i) each row is a permutation of the elements ofRand (ii) any two distinct rows agree in λ positions (that is, the Hamming distance is (r−λ)).Such an array is said to have order ν. In this paper we give several recursive constructions for EPA's.The first construction uses a resolvable regular pairwise balanced design of ordervto construct an EPA of order ν. The second construction is a generalization of the direct product construction for Room squares.We also give a construction for intersection permutation arrays, which arrays are a generalization of EPA's.

Catalytic Activity of Binary and Triple Systems Based on Redox Inactive Metal Compound, LiSt and Additives of Monodentate Ligands-Modifiers: DMF, HMPA and PhOH, in Selective Ethylbenzene Oxidation with Dioxygen

2016 ◽  
Vol 10 (3) ◽  
pp. 259-270
Author(s):  
Ludmila Matienko ◽  
◽  
Larisa Mosolova ◽  
Vladimir Binyukov ◽  
Gennady Zaikov ◽  
...  
Keyword(s):  
Catalytic Activity ◽  
Triple System ◽  
Metal Compound ◽  
Ethylbenzene Oxidation ◽  
Catalytic Systems ◽  
Triple Systems ◽  
Lithium Compound ◽  
Mechanism Of Catalysis ◽  
Monodentate Ligands

Mechanism of catalysis with binary and triple catalytic systems based on redox inactive metal (lithium) compound {LiSt+L2} and {LiSt+L2+PhOH} (L2=DMF or HMPA), in the selective ethylbenzene oxidation by dioxygen into -phenylethyl hydroperoxide is researched. The results are compared with catalysis by nickel-lithium triple system {NiII(acac)2+LiSt+PhOH} in selective ethylbenzene oxidation to PEH. The role of H-bonding in mechanism of catalysis is discussed. The possibility of the stable supramolecular nanostructures formation on the basis of triple systems, {LiSt+L2+PhOH}, due to intermolecular H-bonds, is researched with the AFM method.

Equitable Total Coloring of Direct Product of Path and Cycle

2019 ◽  
Vol 10 (7) ◽  
pp. 1476-1481
Author(s):  
S. Moidheen Aliyar ◽  
S. Manimaran ◽  
K. Manikandan
Keyword(s):  
Direct Product ◽  
Total Coloring

Sport and nationalism in the Republic of North Macedonia

Focaal ◽  
2019 ◽  
pp. 1-13
Author(s):  
Vasiliki P. Neofotistos
Keyword(s):  
Direct Product ◽  
Nation Building ◽  
National History ◽  
Sports Teams ◽  
The Balkans ◽  
The North ◽  
Political Forces ◽  
The Republic

Using the Republic of North Macedonia as a case study, this article analyzes the processes through which national sports teams’ losing performance acquires a broad social and political significance. I explore claims to sporting victory as a direct product of political forces in countries located at the bottom of the global hierarchy that participate in a wider system of coercive rule, frequently referred to as empire. I also analyze how public celebrations of claimed sporting victories are intertwined with nation-building efforts, especially toward the global legitimization of a particular version of national history and heritage. The North Macedonia case provides a fruitful lens through which we can better understand unfolding sociopolitical developments, whereby imaginings of the global interlock with local interests and needs, in the Balkans and beyond.

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