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An evaluation of bias in k-factor analysis
Oecologia, 1991Randomization and simulation are used to detect bias in k-factor analysis. In nine previously published data sets there is strong evidence of bias. This may result from either non-independence of observations or the arithmetic relationship used to estimate k-factors, which can generate "spurious correlations".
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\(k\)-factor-covered regular graphs.
Ars Comb., 2005Summary: A graph \(G\) is called \(f\)-factor-covered if every edge of \(G\) is contained in some \(f\)-factor. \(G\) is called \(f\)-factor-deleted if \(G-e\) contains an \(f\)-factor for every edge \(e\). \textit{F. Bäbler} [Comment. Math. Helv. 10, 275--287 (1938; Zbl 0019.23603 and JFM 64.0596.01)] proved that every \(r\)-regular, \((r-1)\)-edge ...
Jia Shen, Heping Zhang
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Minimally \(k\)-factor-critical graphs
Australas. J Comb., 1998Let \(G\) be a graph of order \(n\). Let \(X\) be an arbitrary set of \(k\) vertices from \(G\), where \(k\) has the same parity as \(n\). If \(G-X\) has a perfect matching, then \(G\) is called \(k\)-factor-critical. Such a graph is called minimal, if \(G-e\) is not \(k\)-factor-critical for any choice of the edge \(e\).
Odile Favaron, Minyong Shi
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K1,k-factorization of bipartite graphs
Applied Mathematics-A Journal of Chinese Universities, 1997Let \(\lambda K_{m,n}\) denote the bipartite graph which is the disjoint union of \(\lambda\) graphs, each of which is isomorphic to \(K_{m,n}\). A \(K_{1,k}\)-factor of a graph \(G\) is a spanning subgraph of \(G\) composed of vertex disjoint copies of \(K_{1,k}\).
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Engineering Structures, 1997
It is shown that charts that are available in design codes for calculating the column effective length factors of braced frames are unconservative, since they assume that the lateral restraints are infinite. Analytical expressions are presented that take into account the finite values of the lateral restraints.
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It is shown that charts that are available in design codes for calculating the column effective length factors of braced frames are unconservative, since they assume that the lateral restraints are infinite. Analytical expressions are presented that take into account the finite values of the lateral restraints.
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