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» On multicolour noncomplete Ramsey graphs of star graphs
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DAM
2008
82views more  DAM 2008»
13 years 11 months ago
On multicolour noncomplete Ramsey graphs of star graphs
Given graphs G, G1, . . . , Gk, where k 2, the notation G (G1, G2, . . . , Gk) denotes that every factorization F1 F2
Sachin Gautam, Ashish Kumar Srivastava, Amitabha T...
JGT
2010
103views more  JGT 2010»
13 years 9 months ago
Proof of a conjecture on fractional Ramsey numbers
: Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function rf (a1,a2, ...,ak) as an extension of the classical definition for Ramsey numbers. They determined an e...
Jason Brown, Richard Hoshino
JGAA
2010
128views more  JGAA 2010»
13 years 9 months ago
Intersection Graphs of Pseudosegments: Chordal Graphs
We investigate which chordal graphs have a representation as intersection graphs of pseudosegments. For positive we have a construction which shows that all chordal graphs that ca...
Cornelia Dangelmayr, Stefan Felsner, William T. Tr...
GC
2011
Springer
13 years 5 months ago
Properly Edge-Coloured Subgraphs in Colourings of Bounded Degree
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1 or a properly edge-coloured Kt is denoted by f(s, t). Its existence is guarant...
Klas Markström, Andrew Thomason, Peter Wagner...
EJC
2008
13 years 11 months ago
The Ramsey numbers for stars of even order versus a wheel of order nine
For two given graphs G1 and G2, the Ramsey number R(G1, G2) is the smallest positive integer n such that for any graph G of order n, either G contains G1 or the complement of G co...
Yunqing Zhang, Yaojun Chen, Kemin Zhang