منابع مشابه
On Mixed Connectivity Certificates
Vertex and edge connectivity are special cases of mixed connectivity, in which all edges and a specified set of vertices play a similar role. Certificates of k-connectivity for a graph are obtained by removing a subset of its edges, while preserving its connectivity up to k. We unify the previous work on connectivity certificates and extend it to handle mixed connectivity and multigraphs. Our t...
متن کاملSparse graph certificates for mixed connectivity
We give a short proof for the Mixed Connectivity Certificate Theorem of Even, Itkis and Rajsbaum and provide an upper bound on the edge number of a certificate of local T -mixed connectivity up to k. © 2005 Elsevier B.V. All rights reserved.
متن کاملCertificates of linear mixed integer infeasibility
A central result in the theory of integer optimization states that a system of linear diophantine equations Ax = b has no integral solution if and only if there exists a vector in the dual lattice, yT A integral such that yT b is fractional. We extend this result to systems that both have equations and inequalities {Ax = b, Cx ≤ d}. We show that a certificate of integral infeasibility is a line...
متن کاملOn the Survivable Network Design Problem with Mixed Connectivity Requirements
A graph is said to be (k, l)-connected if the resulted graph after removing of any k vertices and (l−1) edges or removing of any (k−1) vertices and l edges is still connected. Beineke and Harary (1967) (see [1]) claimed to prove that there should be k+ l edge-disjoint paths, of which k are vertex-disjoint, between any pair of vertices if the graph has (k, l)-connectivity. However, Mader (1979) ...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1998
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(98)00023-1