Partition regularity in the rationals Ben Barber (University of Birmingham) A system of linear equations is partition regular if, whenever N is finitely coloured, there is a monochromatic solution. We could similarly ask

Source URL: web.mat.bham.ac.uk

MONOCHROMATIC TRIANGLES IN THREE-COLOURED GRAPHS ´ † , FLORIAN PFENDER‡ , KONRAD SPERFELD§ , JAMES CUMMINGS∗ , DANIEL KRAL’ ANDREW TREGLOWN† , AND MICHAEL YOUNG¶ Abstract. In 1959, Goodman [9] determined the

Source URL: iti.mff.cuni.cz

Partitioning two-coloured complete multipartite graphs into monochromatic paths and cycles Oliver Schaudt Institut f¨ ur Informatik, Universit¨at zu K¨oln, K¨oln, Germany

Source URL: www.zaik.uni-koeln.de

• NP-complete problems
• Graph
• Graph theory
• Matching
• Cycle
• Hamiltonian path
• Spanning tree

Almost partitioning any 3-edge-coloured Kn,n into 5 monochromatic cycles Richard Lang, Oliver Schaudt, Maya Stein∗ 30th SeptemberAbstract

Source URL: www.zaik.uni-koeln.de

• NP-complete problems
• Combinatorial optimization
• Graph coloring
• Matching
• Cycle
• Bipartite graph
• Graph

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