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On matroids of the greatestW-connectivity
ScienceDirect.com
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由 L Weixuan 著作1983被引用 2 次 — The Whitney connectivity (W-connectivity) of a matroidM is defined by T. Inukai and L. Weinberg as the least integerk for which there exists a subsetS of ...
On Matroids of the Greatest W-Connectivity
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由 L Weixuan 著作1983被引用 2 次 — Since the W-connectivity of a matroid corresponds to the vertex connec- tivity of a graph [3, Theorem I], and the minimum cardinality of cocircuits of a matroid ...
dblp: On matroids of the greatest<i>W</i>-connectivity. - Schloss ...
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Bibliographic details on On matroids of the greatestW-connectivity.
On matroids of the greatest W-connectivity - MaRDI portal
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Theorems on matroid connectivity · Whitney Connectivity of Matroids. This page was built for publication: On matroids of the greatest W-connectivity. Retrieved ...
On matroids with the same connectivity function
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2024年10月22日 — We define the connectivity function of a matroid M on a set E as ξ(M;X)=r(X)+r(E⧹X)−r(E)+1(X⊆E), where r is the rank function of M.
On matroid connectivity
LSU Math
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LSU Math
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The greatest and least numbers of elements in a rank r minimally 3-connected matroid are determined and the matroids attain- ing these bounds are characterized.
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Whitney Connectivity of Matroids
SIAM Publications Library
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由 T Inukai 著作1981被引用 20 次 — It is shown that the Whitney connectivity of the polygon matroid of a graph is the same as the vertex connectivity of the graph provided the graph is connected.
CONNECTIVITY IN MATROIDS
Cambridge University Press & Assessment
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Cambridge University Press & Assessment
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由 WT Tutte 著作1966被引用 332 次 — A matroid can be regarded as a generalized graph. One way of developing the theory of matroids is therefore to generalize known theorems about graphs. In the ...
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Lattice theoretic Characterization of Secret Sharing ...
Cryptology ePrint Archive
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Cryptology ePrint Archive
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Abstract. Necessary and sufficient conditions for a connected matroid to be secret sharing (ss )representable are obtained. We show that the flat lattices ...
Proof of Graphic Matroids (Using Rank in Context of Graph ...
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2018年5月14日 — The rank of a graphic matroid given by an edge set X can be denoted as r(X)=n−c where n is the number of vertices in the subgraph of edges X and c is the ...
1 個答案 · 最佳解答: Following the definition of a matroid, we are trying to show that given a graph G=(V,E) there is a matroid on X=E(G) were the collection of independent ...