22.08.2013 Views

Edge-connectivity of undirected and directed hypergraphs

Edge-connectivity of undirected and directed hypergraphs

Edge-connectivity of undirected and directed hypergraphs

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

134 Bibliography<br />

[38] S. Fujishige, Structures <strong>of</strong> polyhedra determined by submodular functions on crossing<br />

families, Mathematical Programming 29 (1984), 125–141.<br />

[39] H.N. Gabow, Efficient splitting <strong>of</strong>f algorithms for graphs, in: Proceedings <strong>of</strong> the 26th<br />

ACM Symposium on Theory <strong>of</strong> Computing, 696–705.<br />

[40] G. Gallo, G. Longo, S. Nguyen <strong>and</strong> S. Pallottino, Directed <strong>hypergraphs</strong> <strong>and</strong> applica-<br />

tions, Discrete Appl. Math. 40 (1993), 177–201.<br />

[41] G. Gallo, M.G. Scutellà, Directed Hypergraphs as a Modelling Paradigm, Rivista<br />

AMASES 21 (1998), 97–123.<br />

[42] R.E. Gomory, T.C. Hu, Multi-terminal network flows, SIAM J. Appl. Math 9 (1961)<br />

551-570.<br />

[43] M. Grötschel, L. Lovász, A. Schrijver, The ellipsoid algorithm <strong>and</strong> its consequences in<br />

combinatorial optimization, Combinatorica 1 (1981), 499–513.<br />

[44] S.L. Hakimi, On the degrees <strong>of</strong> the vertices <strong>of</strong> a <strong>directed</strong> graph, Journal <strong>of</strong> the Franklin<br />

Institute 279 No. 4 (1965), 290–308.<br />

[45] S. Iwata, L. Fleischer, S. Fujishige, A combinatorial, strongly polynomial-time algo-<br />

rithm for minimizing submodular functions, J. ACM 48 (2001), 761–777.<br />

[46] K. Jain, M. Mahdian, M.R. Salavatipour, Packing Steiner trees, SODA 2003.<br />

[47] T. Jordán, Two NP-complete augmentation problems, IMADA, Odense Universitet<br />

Preprints No. 8/1997.<br />

[48] T. Jordán, Constrained edge-splitting problems, SIAM J. Discrete Math., to appear.<br />

[49] T. Jordán, Z. Szigeti, Detachments preserving local edge-<strong>connectivity</strong> <strong>of</strong> graphs, SIAM<br />

J. Discrete Math., to appear.<br />

[50] S. Khanna, J. Naor <strong>and</strong> F. B. Shepherd, Directed network design with orientation con-<br />

straints, in: Proceedings <strong>of</strong> the Eleventh Annual ACM–SIAM Symposium on Discrete<br />

Algorithms (2000), 663–671.<br />

[51] T. Király, Covering symmetric supermodular functions by uniform <strong>hypergraphs</strong>, sub-<br />

mitted (Journal <strong>of</strong> Combinatorial Theory Series B).<br />

[52] T. Király, M. Makai, A note on hypergraph <strong>connectivity</strong> augmentation, EGRES Tech-<br />

nical Report no. 2002-11.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!