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» On Planar Quasi-Parity Graphs
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SIAMCOMP
2008
77views more  SIAMCOMP 2008»
15 years 6 months ago
A Linear-Time Approximation Scheme for TSP in Undirected Planar Graphs with Edge-Weights
We give an algorithm requiring O(c1/2 n) time to find an -optimal traveling salesman tour in the shortest-path metric defined by an undirected planar graph with nonnegative edgele...
Philip N. Klein
JCT
2007
77views more  JCT 2007»
15 years 6 months ago
Exponentially many 5-list-colorings of planar graphs
We prove that every planar graph with n vertices has at least 2n/9 distinct list-colorings provided every vertex has at least five available colors. © 2006 Elsevier Inc. All rig...
Carsten Thomassen
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
15 years 6 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
JUCS
2007
120views more  JUCS 2007»
15 years 6 months ago
Hamiltonicity of Topological Grid Graphs
: In this paper we study connectivity and hamiltonicity properties of the topological grid graphs, which are a natural type of planar graphs associated with finite subgraphs of th...
Christina Zamfirescu, Tudor Zamfirescu
STACS
2010
Springer
16 years 1 months ago
Log-space Algorithms for Paths and Matchings in k-trees
Reachability and shortest path problems are NL-complete for general graphs. They are known to be in L for graphs of tree-width 2 [14]. However, for graphs of treewidth larger than ...
Bireswar Das, Samir Datta, Prajakta Nimbhorkar