Results 51 to 60 of about 68,778 (203)
The first ascent of size $d$ or more in compositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 A composition of a positive integer $n$ is a finite sequence of positive integers $a_1, a_2, \ldots, a_k$ such that $a_1+a_2+ \cdots +a_k=n$. Let $d$ be a fixed nonnegative integer.
Charlotte Brennan, Arnold Knopfmacher
doaj +1 more source
Completing Multi‐Latin Rectangles via Factors With Prescribed Degrees in Bipartite Graphs
Journal of Combinatorial Designs, EarlyView.ABSTRACT Let Q $Q$ be an n×n $n\times n$ array whose top left r×s $r\times s$ sub‐array L $L$ is filled with a set of k $k$ different symbols such that each cell of L $L$ contains λ $\lambda $ symbols. In this note, we find conditions under which each empty cell of Q $Q$ can be filled with λ $\lambda $ symbols in such a way that the total number of ...
Amin Bahmanian
wiley +1 more source
Agrárpiaci Jelentések Gabona és ipari növények [PDF]
, 2011 Source at https://journalofmathematicsandculture.wordpress.com/2017/12/28/journal-of-mathematics-and-culture-volume-11-number-4/.A group of Sámi middle school mathematics teachers cooperated with researchers over a period of three years in investigating
Børresen, Tove +7 more
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Roots of Ehrhart polynomials of Gorenstein Fano polytopes [PDF]
, 2010 Given arbitrary integers $k$ and $d$ with $0 \leq 2k \leq d$, we construct a Gorenstein Fano polytope $\Pc \subset \RR^d$ of dimension $d$ such that (i) its Ehrhart polynomial $i(\Pc, n)$ possesses $d$ distinct roots; (ii) $i(\Pc, n)$ possesses exactly ...
Hibi, Takayuki +2 more
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Extended Rate, more GFUN [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We present a software package that guesses formulas for sequences of, for example, rational numbers or rational functions, given the first few terms.
Martin Rubey
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New Difference Triangle Sets by a Field‐Programmable Gate Array‐Based Search Technique
Journal of Combinatorial Designs, EarlyView.ABSTRACT We provide some difference triangle sets with scopes that improve upon the best known values. These are found with purpose‐built digital circuits realized with field‐programmable gate arrays (FPGAs) rather than software algorithms running on general‐purpose processors.
Mohannad Shehadeh +2 more
wiley +1 more source
On the set of Fixed Points of the Parallel Symmetric Sand Pile Model [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Sand Pile Models are discrete dynamical systems emphasizing the phenomenon of $\textit{Self-Organized Criticality}$. From a configuration composed of a finite number of stacked grains, we apply on every possible positions (in parallel) two grain moving ...
Kévin Perrot +2 more
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On the Q $Q$‐Polynomial Property of Bipartite Graphs Admitting a Uniform Structure
Journal of Combinatorial Designs, EarlyView.ABSTRACT Let Γ ${\rm{\Gamma }}$ denote a finite, connected graph with vertex set X $X$. Fix x ∈ X $x\in X$ and let ε ≥ 3 $\varepsilon \ge 3$ denote the eccentricity of x $x$. For mutually distinct scalars { θ i * } i = 0 ε ${\{{\theta }_{i}^{* }\}}_{i=0}^{\varepsilon }$ define a diagonal matrix A * = A * ( θ 0 * , θ 1 * , … , θ ε * ) ∈ Mat X ( R ) ${A}^
Blas Fernández +3 more
wiley +1 more source
Combinatorics and Geometry of Transportation Polytopes: An Update [PDF]
, 2013 A transportation polytope consists of all multidimensional arrays or tables of non-negative real numbers that satisfy certain sum conditions on subsets of the entries.
De Loera, Jesús A., Kim, Edward D.
core
Around the root of random multidimensional quadtrees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We analyse the distribution of the root pattern of randomly grown multidimensional point quadtrees. In particular, exact, recursive and asymptotic formulas are given for the expected arity of the root.
Gilbert Labelle +2 more
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