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

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

132 Bibliography<br />

[11] E. Cheng, <strong>Edge</strong>-augmentation <strong>of</strong> <strong>hypergraphs</strong>, in: Connectivity Augmentation <strong>of</strong> Net-<br />

works: Structures <strong>and</strong> Algorithms, Mathematical Programming (ed. A. Frank), Ser.<br />

B, Vol. 84, No. 3 (1999), 443–465.<br />

[12] B. Cosh, B. Jackson, Z. Király, Local <strong>connectivity</strong> augmentation is NP-complete, ap-<br />

peared in: B. Cosh: Vertex splitting <strong>and</strong> <strong>connectivity</strong> augmentation in <strong>hypergraphs</strong>,<br />

Ph.D. thesis, Goldsmiths College, University <strong>of</strong> London (2000).<br />

[13] J. Edmonds, Minimum partition <strong>of</strong> a matroid into independent sets, J. Res. Nat. Bur.<br />

St<strong>and</strong>ards Sect. 869 (1965), 67–72.<br />

[14] J. Edmonds, <strong>Edge</strong>-disjoint branchings, in: B. Rustin, ed., Combinatorial Algorithms<br />

(Acad. Press, New York, 1973) 91–96.<br />

[15] J. Edmonds, Submodular functions, matroids, <strong>and</strong> certain polyhedra, in: R. Guy,<br />

H. Hanani, N. Sauer, <strong>and</strong> J. Schönheim (eds.): Combinatorial Structures <strong>and</strong> their<br />

Applications. Gordon <strong>and</strong> Breach, New York (1970), 69–87.<br />

[16] J. Edmonds, Existence <strong>of</strong> k-edge-connected ordinary graphs with prescribed degrees, J.<br />

Res. Nat. Bur. St<strong>and</strong>ards Sect. B 68B (1964), 73–74.<br />

[17] J. Edmonds, R. Giles, A min-max relation for submodular functions on graphs, Ann.<br />

Discrete Math. 1 (1977), 185–204.<br />

[18] L.P. Eswaran, R.E. Tarjan, Augmentation problems, SIAM J. Computing 5 No. 4<br />

(1976), 653–665.<br />

[19] B. Fleiner, Detachment <strong>of</strong> vertices preserving edge-<strong>connectivity</strong>, SIAM J. Discrete<br />

Math., to appear.<br />

[20] T. Fleiner, T. Jordán, Coverings <strong>and</strong> structure <strong>of</strong> crossing families, in: Connectivity<br />

Augmentation <strong>of</strong> Networks: Structures <strong>and</strong> Algorithms, Mathematical Programming<br />

(ed. A. Frank), Ser. B, Vol. 84, No. 3 (1999), 505–518.<br />

[21] L.R. Ford, D.R. Fulkerson, Flows in Networks, Princeton Univ. Press, Princeton NJ.,<br />

1962.<br />

[22] A. Frank, On the orientation <strong>of</strong> graphs, J. Combinatorial Theory B 28 No. 3 (1980),<br />

251–261.<br />

[23] A. Frank, Finding feasible vectors <strong>of</strong> Edmonds-Giles polyhedra, Journal <strong>of</strong> Combina-<br />

torial Theory Series B 36 (1984), 221–239.

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

Saved successfully!

Ooh no, something went wrong!