(H,k) stable bipartite graphs with minimum size
Aneta Dudek ; Małgorzata Zwonek
Discussiones Mathematicae Graph Theory, Tome 29 (2009), p. 573-581 / Harvested from The Polish Digital Mathematics Library

Let us call a graph G(H;k) vertex stable if it contains a subgraph H after removing any of its k vertices. In this paper we are interested in finding the (Kn,n+1;1) (respectively (Kn,n;1)) vertex stable graphs with minimum size.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:271017
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     author = {Aneta Dudek and Ma\l gorzata Zwonek},
     title = {(H,k) stable bipartite graphs with minimum size},
     journal = {Discussiones Mathematicae Graph Theory},
     volume = {29},
     year = {2009},
     pages = {573-581},
     zbl = {1193.05095},
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Aneta Dudek; Małgorzata Zwonek. (H,k) stable bipartite graphs with minimum size. Discussiones Mathematicae Graph Theory, Tome 29 (2009) pp. 573-581. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1465/

[000] [1] A. Dudek, A. Szymański and M. Zwonek, (H,k) stable graphs with minimum size, Discuss. Math. Graph Theory 28 (2008) 137-149, doi: 10.7151/dmgt.1397. | Zbl 1152.05035

[001] [2] P. Frankl and G.Y. Katona, Extremal k-edge-hamiltonian hypergraphs, Discrete Math. 308 (2008) 1415-1424, doi: 10.1016/j.disc.2007.07.074. | Zbl 1137.05051

[002] [3] I. Horváth and G.Y. Katona, Extremal stable graphs, submitted. | Zbl 1228.05187