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Sequential quaternions: Nestedness and applications

Asian-European Journal of Mathematics, 2022
In this paper, we define a function [Formula: see text] which gives the sequence of partial sums of the Fibonacci quaternion sequence [Formula: see text]. We provide an identity about [Formula: see text] which is the sequence obtained by applying [Formula: see text] to [Formula: see text] [Formula: see text]-times.
Gonca Kizilaslan, Ilker Akkus
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Detecting Nestedness in Graphs

2016
Many real-world networks have a nested structure. Examples range from biological ecosystems (e.g. mutualistic networks), industry systems (e.g. New York garment industry) to inter-bank networks (e.g. Fedwire bank network). A nested network has a graph topology such that a vertex’s neighborhood contains the neighborhood of vertices of lower degree. Thus
Grimm, Alexander, Tessone, Claudio J
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Nestedness of flea assemblages harboured by small mammalian hosts revisited: phylogenetic and functional nestedness do not follow compositional nestedness

Parasitology Research
We studied compositional, phylogenetic, and functional nestedness in the flea assemblages of 14 host species across regions. Our main questions were (a) are a host's flea assemblages compositionally, phylogenetically, or functionally nested? (b) Do similar processes drive these nestedness facets?
Boris R, Krasnov   +2 more
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NULL MODEL ANALYSIS OF SPECIES NESTEDNESS PATTERNS

Ecology, 2007
Nestedness is a common biogeographic pattern in which small communities form proper subsets of large communities. However, the detection of nestedness in binary presence-absence matrices will be affected by both the metric used to quantify nestedness and the reference null distribution.
Werner, Ulrich, Nicholas J, Gotelli
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Abundance and nestedness in interaction networks

Ecological Complexity, 2010
Abstract Nestedness is a useful metric that characterizes the generalist–specialist balance in ecological communities. Although several nestedness indices have been proposed, few have explored how species abundance per se affects their performance and the ability to detect true interaction networks. We here develop a mathematical framework that takes
Aderaldo I.L. Araujo   +3 more
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