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Simple neighbourhoods in triple systems

Charles J Colbourn
1989 Journal of combinatorial theory. Series A  
The neighbourhood of an element in a triple system of index 1 is the I-regular multigraph whose edges are the unordered pairs appearing in triples with the fixed element.  ...  Then it is natural to ask which multigraphs are neighbourhoods in triple systems. First, it is evident that the neighbourhood is always a I-regular multigraph.  ... 
doi:10.1016/0097-3165(89)90058-7 fatcat:bpu5xmtmbzhvnabbq4yciisww4

Forthcoming papers

1990 Discrete Mathematics  
In Section 1 we construct an IOF(23. +p, A) for all I where p is the smallest prime not dividing 1. As a corollary we get a simple indecomposable l-factorization of AK, for all 2n 5 4(A +p).  ...  This collection of l-factors is simple if no l-factor is repeated. It is indecomposable if no subset of l-factors contains each edge I' times where 1~1'=%1-1.  ...  number of triples appearing precisely i times in the system.  ... 
doi:10.1016/0012-365x(90)90391-t fatcat:cwnkqikghbfqlovvpflljn26na

Leaves, excesses and neighbourhoods in triple systems

Charles J. Colbourn, Alexander Rosa
1991 The Australasian Journal of Combinatorics  
The neighbourhood of an element x in a triple system is the multiset of pairs appearing in triples with the element x; these pairs are often taken as edges of a multigraph on v 1 vertices.  ...  The leave of a partial triple system is the multiset of2-subsets of V that contains {x,y} s times whenever {x,y} appears in precisely)., -s triples.  ...  Uniform Until this point, we have been concerned with a single neighbourhood in a triple system.  ... 
dblp:journals/ajc/ColbournR91 fatcat:oaopysh4qje7rjmdjhdtmyuyum

Modelling of Recrystallization and Grain Boundary Migration by Cellular Automata

Jiří Kroc, Václav Paidar
2003 Materials Science Forum  
Generally, CA works in such models with a vast number of identical copies of several generic processes -as recrystallization, nucleation, grain boundary migration, etc.  ...  -which interact locally and results in a complex global response. The attention is focused to some important aspects of recrystallization, grain growth and CA modelling.  ...  Eckart for his publicly available CAenvironment named Cellular/Cellang [12] which was used in his simulations.  ... 
doi:10.4028/ fatcat:4lgq746h3recbny2qmgqp7allm

Reaction graphs of double Fano planes

Mariusz Meszka, Alexander Rosa
2018 The Art of Discrete and Applied Mathematics  
The reaction graph(s) of the Fano plane (i.e. projective plane of order 2, Steiner triple system of order 7, or BIBD(7, 3, 1)) are considered in detail in [8, 9] , with some additional comments provided  ...  in [7] .  ...  triples.  ... 
doi:10.26493/2590-9770.1239.e1f fatcat:pviumqojsrbabgsdjeezdcgqeq

The fine structure of threefold triple systems: υ ≡ 1 or 3 (mod 6)

Charles J. Colbourn, Rudolf A. Mathon, Alexander Rosa, Nabil Shalaby
1991 Discrete Mathematics  
The fine structure of a triple system of index A is the vector (c,. . . . , cA), where c, is the number of triples appearing precisely i times in the system.  ...  Shalahy, The fine structure of threefold triple systems : v = 1 or 3 (mod 6). Discrete Mathematics 92 (1991) 49-64.  ...  This definition permit; % to contain repeated triples. The structure of repeated triples in triple systems has been widely studied.  ... 
doi:10.1016/0012-365x(91)90266-5 fatcat:hm5qntxd6nei7ee6doxu57g3hu

Assessing household energy uses: An online interactive tool dedicated to citizens and local stakeholders

Anne-Françoise Marique, Simon Cuvellier, André De Herde, Sigrid Reiter
2017 Energy and Buildings  
This tool makes accessible to a large non-specialized audience the results of a three-year scientific research study in Wallonia (Belgium) and was awarded an Energy Globe Award (Belgium) in 2014.  ...  These results related to building energy consumption are then crossed, in an integrated approach, with several indicators of urban sustainability, to take into account in the balance of the impact of the  ...  Acknowledgements This research was funded by the Walloon region (Belgium) under the "SOlutions for Low Energy Neighbourhoods" project (SOLEN).  ... 
doi:10.1016/j.enbuild.2017.06.075 fatcat:enys6qn2cffgjetld4ilbcv5hq

The fine structure of threefold triple systems: v≡5(mod 6)

Charles J. Colbourn, Rudolf Mathon, Nabil Shalaby
1991 The Australasian Journal of Combinatorics  
The fine structure a threefold triple system (Cl, of Toronto Ontario lA4 where is the number of i-times repeated blocks.  ...  C3) to be the fine structure of threefold triple system with v 5 determined, and shown to be sufficient for all 2= 17.  ...  A A) is to have blocks is the vector (Cl l C2, in the triple system. TP'l,IP.n,l.plJ. blocks.  ... 
dblp:journals/ajc/ColbournMS91 fatcat:qerkmjc6cfgd5nw4gfpm6d6ove

Page 2548 of Mathematical Reviews Vol. , Issue 81G [page]

1981 Mathematical Reviews  
Artamonov (Moscow) Arthanari, M. von Neumann regularity in associative triple systems. Math. Japon. 25 (1980), no. 2, 191-194.  ...  C. 81g: 17004 On the classification of Freudenthal triple systems and Lie algebras of type E;. J.  ... 

Page 299 of Mathematical Reviews Vol. 17, Issue 3 [page]

1956 Mathematical Reviews  
is‘justified by the fact that any other triple A’B’C’ in Ip? leads to the same set Jp*. There is exactly one triple in Ip? whose Brianchon point is D.  ...  , the relations (1) express in the neighbourhood of a pair (O, O’) the corre- spondence between two algebraic varieties V,, V,’, when V,' is the transform of V, by means of a linear system of primals passing  ... 

Quantitative properties of analytic varieties complex analytic de Rham cohomology, II

Nobuo Sasakura
1974 Proceedings of the Japan Academy  
For a neighbourhood N of V--V', (N) denotes the ring o Cdifferential orms in N.  ...  Now recall that an open covering of a C-manifold is simple if each intersection A, A e is C-retractable (cf. A. Weil [5]). We associate with finite simple coverings .  ... 
doi:10.3792/pja/1195518986 fatcat:m6wfpcartvbzxjdedxbodfzqda

Path Graphs, Clique Trees, and Flowers [article]

Lalla Mouatadid, Robert Robere
2015 arXiv   pre-print
An asteroidal triple is a set of three independent vertices in a graph such that any two vertices in the set are connected by a path which avoids the neighbourhood of the third.  ...  Key to our new characterization is the study of asteroidal sets in sun systems, which are a natural generalization of asteroidal triples.  ...  In particular, no ray is in the neighbourhood of any other ray. Figure 3 : A sun and a sun system.  ... 
arXiv:1505.07702v1 fatcat:o5mjjbfkmffznbx7fwqp4zde4q

Stratification of linear systems. Bifurcation diagrams for families of linear systems

M.I. Garcı́a-Planas, M.D. Magret
1999 Linear Algebra and its Applications  
A fundamental way of dealing with these problems is, in a ®rst step, to stratify the space of triples of matrices de®ning the systems. Here an important role is played by the miniversal deformations.  ...  A second step is to induce a partition in the space of parameters parametrizing the family of linear systems.  ...  The central tool in exploring the neighbourhood of an unstable triple is considering transversal families to a``strati®cation'' of a neighbourhood of the triple and the partition of the neighbourhood is  ... 
doi:10.1016/s0024-3795(99)00113-5 fatcat:cojf5au5a5hrvcmfkjpqypcnxa

Connected simple systems and the Conley functor

Tomasz Kaczyński, Marian Mrozek
1997 Topological Methods in Nonlinear Analysis  
Our main theorem on construction of connected simple systems comes in Section 3.  ...  We define the category of connected simple systems over C, denoted CSS(C), as follows. We take all connected simple systems in C as objects of this category.  ... 
doi:10.12775/tmna.1997.028 fatcat:fam4mmcf4rfhfeqaapho7epjeq

A cyclic involution of period eleven

W. R. Hutcherson
1951 Canadian Journal of Mathematics - Journal Canadien de Mathematiques  
This surface includes all the six edges of the tetrahedron of reference, except P%Pz- It is true that P3 is simple on F 4 while P2 and P 4 are double, and Pi is triple.  ...  IN two earlier papers* the writer discussed involutions of periods five and seven on certain cubic surfaces in 5 3 .  ...  This surface includes all the six edges of the tetrahedron of reference, except P%Pz-It is true that P3 is simple on F 4 while P2 and P 4 are double, and Pi is triple.  ... 
doi:10.4153/cjm-1951-019-8 fatcat:u4esg757i5bsfgumritamvkgom
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