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Full-Text Articles in Physical Sciences and Mathematics
A Pollination Network Of Cornus Florida, James H. Lee
A Pollination Network Of Cornus Florida, James H. Lee
Theses and Dissertations
From the agent-based, correlated random walk model presented, we observe the effects of varying the parameter values of maximum insect turning area, ��max, density of trees, ω, maximum pollen carryover, ��max, and probability of fertilization, P��, on the distribution of pollen within a population of Cornus florida (flowering dogwood). We see that varying ��max and ��max changes the dispersal distance of pollen, which greatly affects many measures of connectivity. The clustering coefficient of fathers is maximized when ��max is between 60° and 90°. Varying ω does not have a major …
On Matroid And Polymatroid Connectivity, Dennis Wayne Hall Ii
On Matroid And Polymatroid Connectivity, Dennis Wayne Hall Ii
LSU Doctoral Dissertations
Matroids were introduced in 1935 by Hassler Whitney to provide a way to abstractly capture the dependence properties common to graphs and matrices. One important class of matroids arises by taking as objects some finite collection of one-dimensional subspaces of a vector space. If, instead, one takes as objects some finite collection of subspaces of dimensions at most k in a vector space, one gets an example of a k-polymatroid.
Connectivity is a pivotal topic of study in the endeavor to understand the structure of matroids and polymatroids. In this dissertation, we study the notion of connectivity from several …