Search Results - "Yazıcı, Emine Şule"
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1
Orthogonal cycle systems with cycle length less than 10
Published in Journal of combinatorial designs (01-01-2024)“…An ‐decomposition of a graph is a partition of the edge set of into subsets, where each subset induces a copy of the graph . A ‐orthogonal ‐decomposition of is…”
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Journal Article -
2
The number of common flowers of two S T S ( v ) s and embeddable Steiner triple trades
Published in Discrete mathematics (01-04-2013)Get full text
Journal Article -
3
Decomposing complete multipartite graphs into closed trails of arbitrary even lengths
Published in Journal of combinatorial designs (01-11-2011)“…We prove that any complete multipartite graph with parts of even size can be decomposed into closed trails with prescribed even lengths. Copyright © 2011 Wiley…”
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Journal Article -
4
Square integer Heffter arrays with empty cells
Published in Designs, codes, and cryptography (01-12-2015)“…A Heffter array H ( m , n ; s , t ) is an m × n matrix with nonzero entries from Z 2 m s + 1 such that (i) each row contains s filled cells and each column…”
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5
On maximal partial Latin hypercubes
Published in Designs, codes, and cryptography (01-02-2024)“…A lower bound is presented for the minimal number of filled cells in a maximal partial Latin hypercube of dimension d and order n . The result generalises and…”
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6
A polynomial embedding of pairs of orthogonal partial Latin squares
Published in Journal of combinatorial theory. Series A (01-08-2014)“…We show that a pair of orthogonal partial Latin squares of order n can be embedded in a pair of orthogonal Latin squares of order at most 16n4 and all orders…”
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Journal Article -
7
The number of common flowers of two STS(v)s and embeddable Steiner triple trades
Published in Discrete mathematics (06-04-2013)“…A flower, FS(x), around a point x in a Steiner triple system D=(V,B) is the set of all triples in B which contain the point x, namely FD(x)={b∈B∣x∈b}. This…”
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Journal Article -
8
Minimal homogeneous latin trades
Published in Discrete mathematics (06-09-2006)“…A latin trade is a subset of a latin square which may be replaced with a disjoint mate to obtain a new latin square. A d-homogeneous latin trade is one which…”
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9
On The Spectrum of Minimal Defining Sets of Full Designs
Published in Graphs and combinatorics (2014)“…A defining set of a t -( v , k , λ) design is a subcollection of the block set of the design which is not contained in any other design with the same…”
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10
Orthogonal Trades and the Intersection Problem for Orthogonal Arrays
Published in Graphs and combinatorics (01-05-2016)“…This work provides an orthogonal trade for all possible volumes N ∈ Z + \ { 1 , 2 , 3 , 4 , 5 , 7 } for block size 4. All orthogonal trades of volume N ⩽ 15…”
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Journal Article -
11
Embedding partial Latin squares in Latin squares with many mutually orthogonal mates
Published 12-11-2018“…We show that any partial Latin square of order $n$ can be embedded in a Latin square of order at most $16n^2$ which has at least $2n$ mutually orthogonal…”
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Journal Article -
12
Defining Sets of Full Designs with Block Size Three II
Published in Annals of combinatorics (01-09-2012)“…A defining set of a t −( v , k , λ ) design is a subcollection of its blocks which is contained in a unique t -design with the given parameters. A minimal…”
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13
Almost 2-perfect 8-cycle systems
Published 23-10-2017“…For an $m$-cycle $C$, an inside $m$-cycle of $C$ is a cycle on the same vertex set, that is edge-disjoint from $C$. In an $m$-cycle system, $(\mathcal{X},…”
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14
An analytical framework for self-organizing peer-to-peer anti-entropy algorithms
Published in Performance evaluation (01-03-2010)“…An analytical framework is developed for establishing exact performance measures for peer-to-peer (P2P) anti-entropy paradigms used in biologically inspired…”
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15
On Minimal Defining Sets of Full Designs and Self-Complementary Designs, and a New Algorithm for Finding Defining Sets of t-Designs
Published in Graphs and combinatorics (01-03-2010)“…A defining set of a t -( v , k , λ ) design is a partial design which is contained in a unique t -design with the given parameters. A minimal defining set is a…”
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Journal Article -
16
On Defining Sets of Full Designs with Block Size Three
Published in Graphs and combinatorics (01-12-2009)“…A defining set of a t -( v , k , λ ) design is a subcollection of its blocks which is contained in no other t -design with the given parameters, on the same…”
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Journal Article -
17
Minimal homogeneous Steiner 2- ( v , 3 ) trades
Published in Discrete mathematics (28-03-2008)“…A Steiner 2- ( v , 3 ) trade is a pair ( T 1 , T 2 ) of disjoint partial Steiner triple systems, each on the same set of v points, such that each pair of…”
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Journal Article Conference Proceeding -
18
Metamorphosis of 2-fold 4-cycle systems into maximum packings of 2-fold 6-cycle systems
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Dissertation -
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Estimates of the coverage of parameter space by Latin Hypercube and Orthogonal sampling: connections between Populations of Models and Experimental Designs
Published 12-10-2015“…In this paper we use counting arguments to prove that the expected percentage coverage of a $d$ dimensional parameter space of size $n$ when performing $k$…”
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20
Metamorphosis of 2-fold 4-cycle systems into maximum packings of 2-fold 6-cycle systems
Published 01-01-2003“…Let c* = a 6-cycle with a double edge. If we remove the double edge the result is a 6-cycle. Let (X, C) be a 2-fold 4-cycle system without repeated 4-cycles…”
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Dissertation