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度序列在图结构相似研究中的应用
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作者 王晓敏 苏静 姚兵 《模糊系统与数学》 北大核心 2023年第5期161-174,共14页
给出一个度序列的所有的度序列分解,研究了度序列的并、分度重合、分度撕裂、分解运算;给出特殊度序列匹配;用图同态运算和图的度序列来判断图同构,以及度序列的图结构的相似性:如果2个图的度序列相等,则它们有非平凡全同构度序列匹配;... 给出一个度序列的所有的度序列分解,研究了度序列的并、分度重合、分度撕裂、分解运算;给出特殊度序列匹配;用图同态运算和图的度序列来判断图同构,以及度序列的图结构的相似性:如果2个图的度序列相等,则它们有非平凡全同构度序列匹配;建立了度序列格(伴随图格)与普通格的一个等价关联。度序列格和图格为图结构的相似与匹配提供了“集合形式的相似与匹配”,使得点-点(图-图)之间的相似与匹配上升到集合-集合之间的相似与匹配,更加适合研究网络社区间的相似与匹配。提出了求解完备度序列、最近度序列、最小度序列、近似最近度序列、最近度序列邻居等几个尚待研究的问题。 展开更多
关键词 序列 图结构相似 度序列格
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Effect of Topography and Accessibility on Vegetation Dynamic Pattern in Mountain-hill Region 被引量:8
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作者 QIU Bingwen ZHONG Ming +2 位作者 ZENG Canying TANG Zhenghong CHEN Chongcheng 《Journal of Mountain Science》 SCIE CSCD 2012年第6期879-890,共12页
Knowledge of both vegetation distribution pattern and phenology changes is very important.Their complicated relationship with elevation and accessibility were explored through a geographically weighted regression(GWR)... Knowledge of both vegetation distribution pattern and phenology changes is very important.Their complicated relationship with elevation and accessibility were explored through a geographically weighted regression(GWR) framework in Fujian province,China.The 16-day time series of 250 m Moderate Resolution Imaging Spectroradiometer(MODIS) Enhanced Vegetation Index(EVI) dataset from 2000 to 2010 was applied.Wavelet transform method was adopted to decompose the original time series and construct the annual maximum EVI and amplitude of the annual phenological cycle(EVI).Candidate explaining factors included topographic conditions,accessibility variables and proportions of primary vegetation types.Results revealed very strong positive influence from parameters of elevation and accessibility to big rivers and negative effect from accessibility to resident on both maximum EVI and phenological magnitude through ordinary linear least square(OLS) regression analysis.GWR analysis revealed that spatially,the parameters of topography and accessibility had a very complex relationship with both maximum EVI and phenology magnitude,as a result of the various combinations of environmental factors,vegetation composition and also intensive anthropogenic impact.Apart from the continuously increasing trend of phenology magnitude with increasing altitude,the influence of topography and accessibility on maximum EVI and phenological magnitude generally decreased,even from strongly positive to negative,with increasing altitude or distance.Specially,the most rapid change of correlation coefficient between them was observed within a low elevation or close distance;less variation was discovered within a certain range of medium altitude or distance and their relationship might change above this range.Non-stationary approaches are needed to better characterize the complex vegetation dynamic pattern in Mountain-hill Region. 展开更多
关键词 Vegetation phenology Elevation gradient ACCESSIBILITY Geographic weighted regression Enhanced Vegetation Index Spatial non-stationality
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