A characterization of the folk rule for multi-source minimal cost spanning tree problems

Bergantiños, Gustavo; Navarro-Ramos, Adriana

doi:10.1016/j.orl.2019.07.002

Cited by 4 publications

(1 citation statement)

References 12 publications

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“…This method can help educators plan the curriculum scientifically and rationally to ensure that various types of physical activities are reasonably arranged and utilized in early childhood physical education. Although it may face a variety of challenges in practical application, through continuous exploration and practice, combined with advanced data analysis technology, it can better meet the needs of early childhood physical education and promote the comprehensive development of young children [17][18]. This paper constructs a diversified system of physical education curriculum suitable for young children and explores individualized teaching methods to improve the quality of early childhood physical education.…”

Section: Introductionmentioning

confidence: 99%

Research on the Construction of a Diversified System of Preschool Physical Education Curriculum Based on Kruskal Algorithm

Zhang

2024

Applied Mathematics and Nonlinear Sciences

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This study constructs a diversified system of physical education curriculum suitable for young children and explores the application of personalized service method in early childhood physical education curriculum. The study designed the structure of early childhood physical education curriculum based on the principles of science, relevance and playfulness. It used the K-means clustering method improved by Kruskal algorithm to recommend early childhood physical education resources. The influence of the curriculum resource system on early childhood physical exercise was investigated by regression analysis. The study results showed that the number of weekly workouts of young children was significantly influenced by the comprehensive developmental features of the curriculum and the diversity of workout programs, (P<0.05). In contrast, the duration of consecutive workouts was mainly influenced by the comprehensive developmental features of the curriculum structural setup and the holistic nature of the curriculum goal setup (0.01<P<0.05). In addition, the cumulative duration of weekly exercise of young children was significantly influenced by regularity perception, comprehensive development and holistic goals in the curriculum resource system (P<0.005). The effectiveness of the personalized service approach in enhancing the efficacy of physical exercise in young children was demonstrated, and it was emphasized that the diversification and comprehensiveness of curriculum content should be emphasized in early childhood physical education.

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Section: Introductionmentioning

confidence: 99%

Research on the Construction of a Diversified System of Preschool Physical Education Curriculum Based on Kruskal Algorithm

Zhang

2024

Applied Mathematics and Nonlinear Sciences

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Cost additive rules in minimum cost spanning tree problems with multiple sources

Bergantiños

Lorenzo

2020

Ann Oper Res

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In this paper, we introduce a family of rules in minimum cost spanning tree problems with multiple sources called Kruskal sharing rules. This family is characterized by conewise additivity and independence of irrelevant trees. We also investigate some subsets of this family and provide axiomatic characterizations of them. The first subset is obtained by adding core selection. The second is obtained by adding core selection and equal treatment of source costs.

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A review of cooperative rules and their associated algorithms for minimum-cost spanning tree problems

Cid

Puga

2021

SERIEs

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Minimum-cost spanning tree problems are well-known problems in the operations research literature. Some agents, located at different geographical places, want a service provided by a common supplier. Agents will be served through costly connections. Some part of the literature has focused, mainly, in studying how to allocate the connection cost among the agents. We review the papers that have addressed the allocation problem using cooperative game theory. We also relate the rules defined through cooperative games with rules defined directly from the problem, either through algorithms for computing a minimal tree, either through a cone-wise decomposition.

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A characterization of the folk rule for multi-source minimal cost spanning tree problems

Abstract: In this paper we provide an axiomatic characterization of the folk rule for minimum cost spanning tree problems with multiple sources. The properties we need are: cone-wise additivity, cost monotonicity, symmetry, isolated agents, and equal treatment of source costs.

Cited by 4 publications

References 12 publications

Research on the Construction of a Diversified System of Preschool Physical Education Curriculum Based on Kruskal Algorithm

Research on the Construction of a Diversified System of Preschool Physical Education Curriculum Based on Kruskal Algorithm

Cost additive rules in minimum cost spanning tree problems with multiple sources

A review of cooperative rules and their associated algorithms for minimum-cost spanning tree problems

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