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SIAMDM
2008
53views more  SIAMDM 2008»
15 years 4 months ago
Coloring of Triangle-Free Graphs on the Double Torus
We show that every triangle-free graph on the double torus is 4-colorable. This settles a problem raised by Gimbel and Thomassen [Trans. Amer. Math. Soc. 349 (1997), 4555
Daniel Král, Matej Stehlík
ISAAC
2010
Springer
266views Algorithms» more  ISAAC 2010»
15 years 2 months ago
Structural and Complexity Aspects of Line Systems of Graphs
We study line systems in metric spaces induced by graphs. A line is a subset of vertices defined by a relation of betweeness. We show that the class of all graphs having exactly k ...
Jozef Jirásek, Pavel Klavík
SIAMDM
2010
111views more  SIAMDM 2010»
14 years 11 months ago
Random Walks with Look-Ahead in Scale-Free Random Graphs
If m 2 is constant and 0 r log log n for a small positive constant , then whp a random walk with look-ahead r on a scale-free graph G = G(m, n) has cover time CG(r) (2/(mr-1(...
Colin Cooper, Alan M. Frieze
WEA
2005
Springer
154views Algorithms» more  WEA 2005»
15 years 10 months ago
Experimental Evaluation of the Greedy and Random Algorithms for Finding Independent Sets in Random Graphs
This work is motivated by the long-standing open problem of designing a polynomial-time algorithm that with high probability constructs an asymptotically maximum independent set in...
Mark K. Goldberg, D. Hollinger, Malik Magdon-Ismai...
ICALP
1995
Springer
15 years 8 months ago
Intervalizing k-Colored Graphs
The problem to determine whether a given k-colored graph is a subgraph of a properly colored interval graph has an application in DNA physical mapping. In this paper, we study the...
Hans L. Bodlaender, Babette de Fluiter