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» A Note on Graph Pebbling
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CORR
2008
Springer
100views Education» more  CORR 2008»
13 years 7 months ago
A note on regular Ramsey graphs
We prove that there is an absolute constant C > 0 so that for every natural n there exists a trianglefree regular graph with no independent set of size at least C n log n.
Noga Alon, Sonny Ben-Shimon, Michael Krivelevich
DM
2006
54views more  DM 2006»
13 years 7 months ago
A note on interconnecting matchings in graphs
We prove a sufficient condition for a graph G to have a matching that interconnects all the components of a disconnected spanning subgraph of G. The condition is derived from a re...
Tomás Kaiser
EJC
2010
13 years 7 months ago
A note on antisymmetric flows in graphs
We prove that any orientation of a graph without bridges and directed 2-edge-cuts admits a Z3 2
Zdenek Dvorak, Tomás Kaiser, Daniel Kr&aacu...
COMBINATORICS
2000
89views more  COMBINATORICS 2000»
13 years 7 months ago
A Note on the Non-Colorability Threshold of a Random Graph
In this paper we consider the problem of establishing a value r0 such that almost all random graphs with n vertices and rn edges, r > r0, are asymptotically not 3-colorable. In...
Alexis C. Kaporis, Lefteris M. Kirousis, Yannis C....
CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 7 months ago
Note on edge-colored graphs and digraphs without properly colored cycles
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
Gregory Gutin