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Recent Evolutionary Algorithm Variants for Combinatorial Optimization Problem
The evolutionary algorithm has been extensively used to solve a range of combinatorial optimization problems. The adaptability of evolutionary algorithm mechanisms provides diverse approaches to handle combinatorial optimization challenges.
Anniza Hamdan +4 more
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There are many interesting and sophisticated problems raised in the IMO, Putnam and other olympiads. Some of these problems have deep mathematical background, nice generalizations, and lead to new areas of research in combinatorics. In this paper several topics in this category (disjoint simplices, alternating simple path problems, balanced colorings, \
Jin Akiyama +2 more
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Combinatorial Problems on H-graphs [PDF]
Biró, Hujter, and Tuza introduced the concept of $H$-graphs (1992), intersection graphs of connected subgraphs of a subdivision of a graph $H$. They naturally generalize many important classes of graphs, e.g., interval graphs and circular-arc graphs. We continue the study of these graph classes by considering coloring, clique, and isomorphism problems ...
Steven Chaplick, Peter Zeman 0001
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Neste trabalho apresentamos os dados de uma pesquisa que teve por objetivo verificar o desempenho de alunos do 6.° ao 9.° anos do Ensino Fundamental na resolução de oito problemas multiplicativos, envolvendo raciocínio combinatório. Os problemas diferiam
Leny R. M. Teixeira +3 more
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Quantum computational phase transition in combinatorial problems
Quantum Approximate Optimization algorithm (QAOA) aims to search for approximate solutions to discrete optimization problems with near-term quantum computers.
Bingzhi Zhang, Akira Sone, Quntao Zhuang
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Combinatorial ink-jet printing for ceramic discovery [PDF]
PhDAn aspirating and dispensing printer established inside a robot gantry equipped with furnace and measurement table is used to prepare thick-film combinatorial libraries.
Wang, Jian
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Combinatorial reconstruction problems
A general technique for tackling reconstruction problems is presented and applied to some old and some new instances of such problems. In particular it is shown that every polygon wih \(m>8\) vertices in the plane is determined, up to isometry, by the set of isometry types of its vertex deleted subpolygons.
Noga Alon +3 more
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A \(T\)-partition of \([n]=\{1, \dots, n\}\), \(n\geq 2\), is a 2-partition \(\{X,Y\}\) where, for every \(k\in\{1, \dots, n-1\}\), there exist \(i\in X\), \(j\in Y\), such that \(|i-j|=k\). The author here addresses the problem of counting the number of elements in \(T_n\), the set of \(T\)-partitions of \([n]\), and checking the asymptotic behavior ...
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On a problem in combinatorial geometry
Let \(f(S)\) be the ratio of the area of a largest (nondegenerate) triangle determined by the points of a finite set \(S\) to that of a smallest, and \(f(n)=\inf_sf(S)\), where the infimum is taken over all planar, noncollinear sets \(S\) of cardinality \(n\).
Paul Erdös +2 more
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Building Geometry Generation Example Applying GPT Models
The emergence of large language models (LLMs) has opened new avenues for integrating artificial intelligence into architectural design workflows. This paper explores the feasibility of applying generative AI to solve a classic combinatorial problem ...
Zsolt Ercsey, Tamás Storcz
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