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» A note on regular Ramsey graphs
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IWOCA
2009
Springer
160views Algorithms» more  IWOCA 2009»
14 years 21 hour ago
Note on Decomposition of Kn, n into (0, j)-prisms
R. H¨aggkvist proved that every 3-regular bipartite graph of order 2n with no component isomorphic to the Heawood graph decomposes the complete bipartite graph K6n,6n. In [2] the ...
Sylwia Cichacz, Dalibor Froncek, Petr Kovár
ECCC
2000
179views more  ECCC 2000»
13 years 7 months ago
A Note on Approximating MAX-BISECTION on Regular Graphs
We design a 0:795 approximation algorithm for the Max-Bisection problem restricted to regular graphs. In the case of three regular graphs our results imply an approximation ratio ...
Uriel Feige, Marek Karpinski, Michael Langberg
GC
2011
Springer
13 years 2 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...
COMBINATORICS
2007
73views more  COMBINATORICS 2007»
13 years 7 months ago
A Short Proof of a Theorem of Kano and Yu on Factors in Regular Graphs
In this note we present a short proof of the following result, which is a slight extension of a nice 2005 theorem by Kano and Yu. Let e be an edge of an rregular graph G. If G has...
Lutz Volkmann
EJC
2008
13 years 7 months ago
Multiple Kronecker covering graphs
A graph may be the Kronecker cover in more than one way. In this note we explore this phenomenon and apply it to show that the minimal common cover of two graphs need not be uniqu...
Wilfried Imrich, Tomaz Pisanski