Results 31 to 40 of about 361,091 (296)
The partition dimension of a subdivision of a homogeneous firecracker
Electronic Journal of Graph Theory and Applications, 2020 Finding the partition dimension of a graph is one of the interesting (and uncompletely solved) problems of graph theory. For instance, the values of the partition dimensions for most kind of trees are still unknown. Although for several classes of trees
Amrullah Amrullah
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The lattice of integer partitions
Discrete Mathematics, 1973 AbstractIn this paper we study the lattice Ln of partitions of an integer n ordered by dominance. We show Ln to be isomorphic to an infimum subsemilattice under the component ordering of certain concave nondecreasing (n+1)-tuples. For Ln, we give the covering relation, maximal covering number, minimal chains, infimum and supremum irreducibles, a chain ...
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Zhongguo dianli, 2020 When power system blackout occurs, the active distribution network with high penetration of distributed generations can realize fast parallel restoration through zone partitioning.
Jinquan ZHAO +3 more
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Partition and composition matrices: two matrix analogues of set partitions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 This paper introduces two matrix analogues for set partitions; partition and composition matrices. These two analogues are the natural result of lifting the mapping between ascent sequences and integer matrices given in Dukes & Parviainen (2010).
Anders Claesson +2 more
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Maximum entropy and integer partitions
Combinatorial Theory, 2023 We derive asymptotic formulas for the number of integer partitions with given sums of $j$th powers of the parts for $j$ belonging to a finite, non-empty set $J \subset \mathbb N$. The method we use is based on the `principle of maximum entropy' of Jaynes.
Gweneth McKinley +2 more
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Strategies for Parallelization of Algorithms for Integer Partition
AlgorithmsIn this work we present strategies for parallelization of algorithms for representing integers as a sum of positive integers using OpenMP (Open Multi-Processing).
Iliya Bouyukliev +2 more
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On Partitions and Arf Semigroups
Open Mathematics, 2019 In this study we examine some combinatorial properties of the Arf semigroup. In previous work, the author and Karakaş, Gümüşbaş defined an Arf partition of a positive integer n. Here, we continue this work and give new results on Arf partitions.
Tutaş Nesrin
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Integer Partitions with Fixed Subsums [PDF]
The Electronic Journal of Combinatorics, 2005 Given two positive integers $m\le n$, we consider the set of partitions $\lambda=(\lambda_1,\dots,\lambda_\ell,0,\dots)$, $\lambda_1\ge\lambda_2\ge\dots$, of $n$ such that the sum of its parts over a fixed increasing subsequence $(a_j)$ is $m$: $\lambda_{a_1}+\lambda_{a_2}+\dots=m$. We show that the number of such partitions does not depend on $n$ if $
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FastNano Liquid: An Automated Platform for Small‐Angle X‐ray Scattering‐Based Materials Discovery
Advanced Engineering Materials, EarlyView.We present FastNano Liquid, an automated small‐ and wide‐angle X‐ray scattering platform for the combined synthesis and characterization of (nano)materials. The platform is coupled to varied reactor workflows for both in situ studies of reaction kinetics and ex situ screening of synthesis conditions to support machine learning‐guided exploration ...
Pierre‐Baptiste Flandrin +16 more
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Stochastic Theory of Discrete Binary Fragmentation—Kinetics and Thermodynamics
Entropy, 2022 We formulate binary fragmentation as a discrete stochastic process in which an integer mass k splits into two integer fragments j, k−j, with rate proportional to the fragmentation kernel Fj,k−j.
Themis Matsoukas
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