✦ LIBER ✦

Ramsey properties of random graphs

✍ Scribed by Tomasz Luczak; Andrzej Ruciński; Bernd Voigt

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 917 KB
Volume: 56
Category: Article
ISSN: 0095-8956
DOI: 10.1016/0095-8956(92)90006-j

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Sharp thresholds for certain Ramsey prop

Sharp thresholds for certain Ramsey properties of random graphs

✍ Ehud Friedgut; Michael Krivelevich 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 172 KB

Locally Ramsey properties of graphs

✍ S. G. Sal'nikov 📂 Article 📅 1988 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 382 KB

Ramsey Properties of Random Hypergraphs

✍ Vojtech Rödl; Andrzej Ruciński 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 501 KB

Let K (k) (n, p) be the random k-uniform hypergraph obtained by independent inclusion of each of the ( n k ) k-tuples with probability p. For an arbitrary k-uniform hypergraph G and every integer r we find the threshold for the property that every r-coloring of the vertices of K (k) (n, p) results i

Random Ramsey graphs for the four-cycle

✍ Zoltán Füredi 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 223 KB

It is shown that there is a graph 4 with n vertices and at least n ' "edges such that it contains neither Ws nor X2 3 , but every subgraph with 2n4'3(logn)Z edges contains a vd, (n>n,). Moreover, the chromatic number of Y is at least no.'.

Ramsey Properties of Families of Graphs

✍ Ronald Graham; Tomasz Łuczak; Vojtěch Rödl; Andrzej Ruciński 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 106 KB

For a graph F and natural numbers a 1 ; . . . ; a r ; let F ! ða 1 ; . . . ; a r Þ denote the property that for each coloring of the edges of F with r colors, there exists i such that some copy of the complete graph K ai is colored with the ith color. Furthermore, we write ða 1 ; . . . ; a r Þ ! ðb

Vertex Ramsey Properties of Families of

Vertex Ramsey Properties of Families of Graphs

✍ Tomasz Łuczak; Andrzej Ruciński; Sebastian Urbański 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 118 KB

For graphs F, G 1 , ..., G r , we write F Q (G 1 , ..., G r ) if for every coloring of the vertices of F with r colors there exists i, i=1, 2, ..., r, such that a copy of G i is colored with the ith color. For two families of graphs G 1 , ..., G r and H 1 , ..., H s , by .., H s ) for every graph F