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IWOCA
2010
Springer
240views Algorithms» more  IWOCA 2010»
13 years 2 months ago
Path-Based Supports for Hypergraphs
A path-based support of a hypergraph H is a graph with the same vertex set as H in which each hyperedge induces a Hamiltonian subgraph. While it is NP-complete to compute a path-ba...
Ulrik Brandes, Sabine Cornelsen, Barbara Pampel, A...
COCOON
1999
Springer
13 years 12 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»
14 years 27 days 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»
14 years 1 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
JGT
2007
53views more  JGT 2007»
13 years 7 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