On Ramsey minimal graphs
The electronic journal of combinatorics, Tome 1 (1994)
An elementary probabilistic argument is presented which shows that for every forest $F$ other than a matching, and every graph $G$ containing a cycle, there exists an infinite number of graphs $J$ such that $J\to (F,G)$ but if we delete from $J$ any edge $e$ the graph $J-e$ obtained in this way does not have this property.
@article{10_37236_1184,
author = {Tomasz {\L}uczak},
title = {On {Ramsey} minimal graphs},
journal = {The electronic journal of combinatorics},
year = {1994},
volume = {1},
doi = {10.37236/1184},
zbl = {0814.05058},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1184/}
}
Tomasz Łuczak. On Ramsey minimal graphs. The electronic journal of combinatorics, Tome 1 (1994). doi: 10.37236/1184
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