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» A Note on Odd Cycle-Complete Graph Ramsey Numbers
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GC
2011
Springer
12 years 12 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...
DM
2008
73views more  DM 2008»
13 years 5 months ago
A note on edge-graceful spectra of the square of paths
For a simple path Pr on r vertices, the square of Pr is the graph P2 r on the same set of vertices of Pr , and where every pair of vertices of distance two or less in Pr is connec...
Tao-Ming Wang, Cheng-Chih Hsiao, Sin-Min Lee
COMBINATORICS
2007
88views more  COMBINATORICS 2007»
13 years 4 months ago
Maximum Matchings in Regular Graphs of High Girth
Let G = (V, E) be any d-regular graph with girth g on n vertices, for d ≥ 3. This note shows that G has a maximum matching which includes all but an exponentially small fraction...
Abraham D. Flaxman, Shlomo Hoory