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» Colouring Vertices of Triangle-Free Graphs
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STOC
2009
ACM
152views Algorithms» more  STOC 2009»
14 years 24 days ago
Green's conjecture and testing linear-invariant properties
A system of linear equations in p unknowns Mx = b is said to have the removal property if every set S ⊆ {1, . . . , n} which contains o(np− ) solutions of Mx = b can be turned...
Asaf Shapira
DM
2010
108views more  DM 2010»
13 years 6 months ago
Grundy number and products of graphs
The Grundy number of a graph G, denoted by (G), is the largest k such that G has a greedy k-colouring, that is a colouring with k colours obtained by applying the greedy algorithm...
Marie Asté, Frédéric Havet, C...
JGT
2007
87views more  JGT 2007»
13 years 5 months ago
A new upper bound on the cyclic chromatic number
A cyclic colouring of a plane graph is a vertex colouring such that vertices incident with the same face have distinct colours. The minimum number of colours in a cyclic colouring...
Oleg V. Borodin, Hajo Broersma, Alexei N. Glebov, ...
DM
2010
118views more  DM 2010»
13 years 6 months ago
Discrepancy and signed domination in graphs and hypergraphs
For a graph G, a signed domination function of G is a two-colouring of the vertices of G with colours +1 and
Anush Poghosyan, Vadim E. Zverovich
WDAG
2000
Springer
112views Algorithms» more  WDAG 2000»
13 years 9 months ago
More Lower Bounds for Weak Sense of Direction: The Case of Regular Graphs
A graph G with n vertices and maximum degree G cannot be given weak sense of direction using less than G colours. It is known that n colours are always sufficient, and it was conje...
Paolo Boldi, Sebastiano Vigna