Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 17 of 17 for “"triple systems"”.
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Bicyclic Mixed Triple Systems.
<p>In the study of triple systems, one question faced is that of finding for what order a decomposition exists. We state and prove a necessary and sufficient condition for the existence of a <em>bicyclic mixed triple system</em> based on the three possible partial orientations of the 3-cycle with …
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Steiner triple systems and cycle structure
… his first paper [24], research in Steiner triple systems has grown steadily. With increased and ready access to more powerfiul computers in recent times, this growth has accelerated significantly. Problems are now being solved which were previously considered too 'big' to contemplate using …
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The Last of the Mixed Triple Systems.
<p>In this thesis, we consider the decomposition of the complete mixed graph on <em>v</em> vertices denoted <em>M<sub>v</sub></em>, into every possible mixed graph on three vertices which has (like <em>M<sub>v</sub></em>) twice as many arcs as edges. Direct constructions are given in most cases. …
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Anti-pasch and pasch steiner triple systems
… on the study of anti-Pasch and Pasch Steiner triple systems and existence results / concerning these. After the introductory Chapter, Chapters 2, 3, 4, 5 treat anti-Pasch systems and the last the reverse problem of Pasch systems. Chapter 1 introduces the basic concepts and definitions …
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Tricyclic Steiner Triple Systems with 1-Rotational Subsystems.
<p>A Steiner triple system of order <em>v</em>, denoted <em>STS</em>(<em>v</em>), is said to be <em>tricyclic</em> if it admits an automorphism whose disjoint cyclic decomposition consists of three cycles. In this thesis we give necessary and sufficient conditions for the existence of a tricyclic …
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Mass ratios in stellar triple systems that admit horseshoe orbits
We examine possible configurations of stellar triple systems that give rise to "horseshoe orbits" in the smallest body. Several configurations are tested according to the initial parameters of mass for each of three bodies and position and velocity for the smallest body. The masses are arranged …
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Combinatorial designs and their automorphism groups
… concerns the automorphism groups of Steiner triple systems and of cycle systems. Although most Steiner triple systems have trivial automorphism groups [2], it is widely known that for every abstract group, there exists a Steiner triple system whose automorphism is isomorphic to that group …
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On the primarity of some block intersection graphs
… we generalize tactical con gurations on Steiner triple systems obtained from projective geometry. Our objects are subgeometries as blocks. These subgeometries are collected into systems and we study them as designs and graphs. Considered recursively is a further tactical con guration on some of …
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The Theory of the Formation of Brown Dwarfs
… dynamical decay of non-hierarchical accreting triple systems and its implications on the ejection model as Brown Dwarf formation scenario. A modified chain-regularization scheme is used to integrate the equations of motion, that also allows for mass changes over time as well as for momentum …
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Random and exact structures in combinatorics
… discrete random matrices, thresholds for Steiner triple systems, and improved bounds for Szemerédi's theorem. Each concerns breakthroughs in central questions of the fundamental areas of random matrices, combinatorial designs, and additive combinatorics.
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List, Sample, and Count
… several areas including construction of Steiner triple systems, binary sequences with controllable complexity, interference resistant codes, and graph labeling. Finally, we consider a variation of the n-queens problem, called the queens of the night. This constraint satisfaction problem is not …
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Modeling the Dynamics of Black Hole Systems and the Ringdown of Black Hole Spacetimes
… orbital dynamics of hierarchical black hole triples. We find that for certain triple systems, when the tertiary is much more massive than the inner binary, post-Newtonian three-body resonances can substantially modify the orbital evolution.
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Probabilistic and Analytic Methods in Combinatorics
… regarding the existence of high girth Steiner triple systems. The tools employed fall squarely within the context of probabilistic method, drawing on recent advances within design theory and the theory of random processes. The third and fourth chapters of this thesis consider problems within …
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Eulerian Properties of Design Hypergraphs and Hypergraphs with Small Edge Cuts
… make the leap from quasi-eulerian to eulerian. A triple system of order n and index λ (denoted TS(n,λ)) is a 3-uniform hypergraph in which every pair of vertices lies together in exactly λ edges. A Steiner triple system of order n is a TS(n,1). We first give a proof that every TS(n,λ) with λ ⩾ 2 …
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Decompositions, Packings, and Coverings of Complete Directed Gaphs with a 3-Circuit and a Pendent Arc.
… a pendant arc and the other six are transitive triples with a pendant arc. Necessary and sufficient conditions are given for decompositions, packings, and coverings of the complete digraph with the two 3-circuit with a pendant arc orientations.</p>
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Balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space
This thesis deals with two different subjects: balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space. Correspondingly we have two main results. In the first one we prove that if a holomorphic vector bundle E over a compact Kähler manifold (M,ω) admits a …