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» On the First-Fit Chromatic Number of Graphs
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CORR
2008
Springer
95views Education» more  CORR 2008»
15 years 6 months ago
The Plane-Width of Graphs
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Marcin Kaminski, Paul Medvedev, Martin Milanic
FSTTCS
2000
Springer
15 years 9 months ago
On-Line Edge-Coloring with a Fixed Number of Colors
We investigate a variant of on-line edge-coloring in which there is a fixed number of colors availableandtheaimistocolorasmanyedgesaspossible.Weproveupperandlowerboundsontheperform...
Lene M. Favrholdt, Morten N. Nielsen
COMBINATORICS
2006
97views more  COMBINATORICS 2006»
15 years 5 months ago
H-Free Graphs of Large Minimum Degree
We prove the following extension of an old result of Andr
Noga Alon, Benny Sudakov
138
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JCT
2008
101views more  JCT 2008»
15 years 5 months ago
Refined activation strategy for the marking game
This paper introduces a new strategy for playing the marking game on graphs. Using this strategy, we prove that if G is a planar graph, then the game colouring number of G, and he...
Xuding Zhu
DAM
2010
116views more  DAM 2010»
15 years 6 months ago
Minimum sum edge colorings of multicycles
In the minimum sum edge coloring problem, we aim to assign natural numbers to edges of a graph, so that adjacent edges receive different numbers, and the sum of the numbers assign...
Jean Cardinal, Vlady Ravelomanana, Mario Valencia-...