Results 11 to 20 of about 16,341,714 (282)
On k-factor-critical graphs [PDF]
Summary: A graph is said to be \(k\)-factor-critical if the removal of any set of \(k\) vertices results in a graph with a perfect matching. We study some properties of \(k\)-factor-critical graphs and show that many results on \(q\)-extendable graphs can be improved using this concept.
Favaron, Odile
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The planted k-factor problem [PDF]
Abstract We consider the problem of recovering an unknown k-factor, hidden in a weighted random graph. For k = 1 this is the planted matching problem, while the k = 2 case is closely related to the planted traveling salesman problem.
Sicuro G., Zdeborova L.
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Map shows the Erodeability potential (K factors) for the soil in the Great Swamp Hydrologic Unit Area.
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A constant-factor approximation algorithm for reconciliation k-median [PDF]
In the reconciliation k-median problem we ask to cluster a set of data points by picking k cluster centers so as to minimize the sum of distances of the data points to their cluster centers plus the sum of pairwise distances between the centers.
Riegel, B. +4 more
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The at-most $k$-deep factor tree [PDF]
We present a new data structure to index strings that is very similar to a suffix tree. The new structure indexes the factors of a string whose length does not exceed k, and only those.
Allali, Julien, Sagot, Marie-France
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Factor loadings of the higher-order K-Factor.
Factor loadings of the higher-order K-Factor.
Mateo Peñaherrera-Aguirre (5024447) +4 more
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Connected k-factors in bipartite graphs
Let $k,l$ be two positive integers. An $S_{k,l}$ is a graph obtained from disjoint $K_{1,k}$ and $K_{1,l}$ by adding an edge between the $k$-degree vertex in $K_{1,k}$ and the $l$-degree vertex in $K_{1,l}$. An {\em $S_{k,l}$-free} graph is a graph containing no induced subgraph isomorphic to $S_{k,l}$.
Yandong Bai, Binlong Li
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On unique k-factors and unique [1,k]-factors in graphs
Let \(G\) be a graph and let \(a\) and \(b\), \(a\leq b\), be two positive integers. A spanning subgraph \(F\) of \(G\) is an \([a,b]\)-factor if \(a\leq \deg_Fv\leq b\), for every vertex \(v\) in \(G\). A \([k,k]\)-factor is called a \(k\)-factor. An \([a,b]\)-factor is perfect if each of its components is a regular graph.
Arne Hoffmann, Lutz Volkmann
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Degree Sequences and the Existence of k-Factors [PDF]
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Douglas Bauer +4 more
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Amalgamations of connected k-factorizations
Let \(G\) be an edge-colored graph on the set of colors \(\{ 1,2,\ldots,n\}\), and let \(P\) be a partition of \(V(G)\). The \(P\)-amalgamation of \(G\) is the \(n\)-edge-colored graph with vertex set \(P\), in which \(p\in P\) is incident with \(y\) loops colored \(i\) if and only if there are \(y\) loops or edges in \(G\) that join vertices in \(p\),
Anthony J. W. Hilton +3 more
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