Pₘ-saturated bipartite graphs with minimum size
Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 2, pp. 197-211
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A graph G is said to be H-saturated if G is H-free i.e., (G has no subgraph isomorphic to H) and adding any new edge to G creates a copy of H in G. In 1986 L. Kászonyi and Zs. Tuza considered the following problem: for given m and n find the minimum size sat(n;Pₘ) of Pₘ-saturated graph of order n. They gave the number sat(n;Pₘ) for n big enough. We deal with similar problem for bipartite graphs.
Keywords:
graph, saturated graph, extremal graph, bipartite graph
@article{DMGT_2004_24_2_a3,
author = {Dudek, Aneta and Wojda, A.},
title = {Pₘ-saturated bipartite graphs with minimum size},
journal = {Discussiones Mathematicae. Graph Theory},
pages = {197--211},
year = {2004},
volume = {24},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGT_2004_24_2_a3/}
}
Dudek, Aneta; Wojda, A. Pₘ-saturated bipartite graphs with minimum size. Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 2, pp. 197-211. http://geodesic.mathdoc.fr/item/DMGT_2004_24_2_a3/
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