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» On the maximum number of edges in quasi-planar graphs
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COCOON
2006
Springer
13 years 11 months ago
Fixed Linear Crossing Minimization by Reduction to the Maximum Cut Problem
Many real-life scheduling, routing and location problems can be formulated as combinatorial optimization problems whose goal is to find a linear layout of an input graph in such a ...
Christoph Buchheim, Lanbo Zheng
CPC
1998
154views more  CPC 1998»
13 years 7 months ago
Asymptotic Enumeration of Eulerian Circuits in the Complete Graph
We determine the asymptotic behaviour of the number of eulerian circuits in a complete graph of odd order. One corollary of our result is the following. If a maximum random walk, ...
Brendan D. McKay, Robert W. Robinson
CCCG
2009
13 years 8 months ago
Approximating Maximum Flow in Polygonal Domains using Spanners
We study a maximum flow problem in a polygonal domain P: Determine the maximum number of disjoint "thick" paths (of specified width w) through P from a source edge to a ...
Joondong Kim, Joseph S. B. Mitchell, Jingyu Zou
ICCS
2004
Springer
14 years 22 days ago
Routing and Wavelength Assignments in Optical WDM Networks with Maximum Quantity of Edge Disjoint Paths
In the present paper routing and wavelength assignment (RWA) in optical WDM networks is discussed. Previous techniques on based on the integer linear programming and graph coloring...
Hyunseung Choo, Vladimir V. Shakhov
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 4 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani