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» The chromatic covering number of a graph
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CORR
2008
Springer
95views Education» more  CORR 2008»
13 years 7 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
COMBINATORICS
2006
97views more  COMBINATORICS 2006»
13 years 7 months ago
H-Free Graphs of Large Minimum Degree
We prove the following extension of an old result of Andr
Noga Alon, Benny Sudakov
EJC
2007
13 years 7 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n â...
Oliver Cooley, Daniela Kühn, Deryk Osthus
JCT
2008
101views more  JCT 2008»
13 years 7 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»
13 years 7 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-...