Purpose:To contribute to the study of networks and graphs.Design/methodology/approach:We apply standard mathematical thinking.Findings:We show that the distance distribution in an undirected network Lorenz majorizes t...Purpose:To contribute to the study of networks and graphs.Design/methodology/approach:We apply standard mathematical thinking.Findings:We show that the distance distribution in an undirected network Lorenz majorizes the one of a chain.As a consequence,the average and median distances in any such network are smaller than or equal to those of a chain.Research limitations:We restricted our investigations to undirected,unweighted networks.Practical implications:We are convinced that these results are useful in the study of small worlds and the so-called six degrees of separation property.Originality/value:To the best of our knowledge our research contains new network results,especially those related to frequencies of distances.展开更多
This paper innovatively adopts an interdisciplinary method, which is urban design,combined with social investigation, statistical analysis, and case analysis. In this study, 1350residents in 45 blocks of Lansing were ...This paper innovatively adopts an interdisciplinary method, which is urban design,combined with social investigation, statistical analysis, and case analysis. In this study, 1350residents in 45 blocks of Lansing were selected as samples to investigate the related issuesof social capital, which include safety, contact with others, and sense of support for peopleliving in certain areas. There are two ways to measure the distance from the center of thecommunity to the nearest green space. One is the straight distance, while the other is pathdistance. Through statistical analysis, the path distance of less than 250 m is also added intothe variables. The results overturned the hypotheses and showed that the distance of greenspace was positively correlated with social capital. The residents of Lansing may prefer thedistant green space for recreational activities and create a way to participate in civic duty.The research can not only provide a basis for Lansing to formulate the appropriate resourcemanagement rules and norms and promote the accumulation of residents’ social capital, butalso provide a reference for urban green space planning in other areas. At the same time, inthe context of developing a smart city and constructing a new public system, we hope thatthe better optimization of the green space allocation will be achieved.展开更多
文摘Purpose:To contribute to the study of networks and graphs.Design/methodology/approach:We apply standard mathematical thinking.Findings:We show that the distance distribution in an undirected network Lorenz majorizes the one of a chain.As a consequence,the average and median distances in any such network are smaller than or equal to those of a chain.Research limitations:We restricted our investigations to undirected,unweighted networks.Practical implications:We are convinced that these results are useful in the study of small worlds and the so-called six degrees of separation property.Originality/value:To the best of our knowledge our research contains new network results,especially those related to frequencies of distances.
基金supported by Project for Young Innovative Talents of Guangdong Provincial Department of Education in 2022(Research on the Integration Path of Industry and Education in Furniture Design under the Background of Rural Revitalization,Funding No.2022WQNCX255).
文摘This paper innovatively adopts an interdisciplinary method, which is urban design,combined with social investigation, statistical analysis, and case analysis. In this study, 1350residents in 45 blocks of Lansing were selected as samples to investigate the related issuesof social capital, which include safety, contact with others, and sense of support for peopleliving in certain areas. There are two ways to measure the distance from the center of thecommunity to the nearest green space. One is the straight distance, while the other is pathdistance. Through statistical analysis, the path distance of less than 250 m is also added intothe variables. The results overturned the hypotheses and showed that the distance of greenspace was positively correlated with social capital. The residents of Lansing may prefer thedistant green space for recreational activities and create a way to participate in civic duty.The research can not only provide a basis for Lansing to formulate the appropriate resourcemanagement rules and norms and promote the accumulation of residents’ social capital, butalso provide a reference for urban green space planning in other areas. At the same time, inthe context of developing a smart city and constructing a new public system, we hope thatthe better optimization of the green space allocation will be achieved.
