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» On Planar Quasi-Parity Graphs
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COCOON
1999
Springer
15 years 6 months ago
An External Memory Data Structure for Shortest Path Queries
We present results related to satisfying shortest path queries on a planar graph stored in external memory. Let N denote the number of vertices in the graph and let sort(N) denote...
David A. Hutchinson, Anil Maheshwari, Norbert Zeh
DIALM
2003
ACM
175views Algorithms» more  DIALM 2003»
15 years 7 months ago
Localized construction of bounded degree and planar spanner for wireless ad hoc networks
We propose a novel localized algorithm that constructs a bounded degree and planar spanner for wireless ad hoc networks modeled by unit disk graph (UDG). Every node only has to kn...
Yu Wang 0003, Xiang-Yang Li
ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
15 years 8 months ago
Approximating the Crossing Number of Toroidal Graphs
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
Petr Hlinený, Gelasio Salazar
89
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JGT
2007
53views more  JGT 2007»
15 years 1 months ago
A planar hypohamiltonian graph with 48 vertices
: We present a planar hypohamiltonian graph on 48 vertices, and derive some consequences. © 2007 Wiley Periodicals, Inc. J Graph Theory 55: 338–342, 2007
Carol T. Zamfirescu, Tudor Zamfirescu
JCT
2008
101views more  JCT 2008»
15 years 1 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