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SODA
2010
ACM
248views Algorithms» more  SODA 2010»
15 years 9 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
COMGEO
2010
ACM
14 years 11 months ago
Mixed volume techniques for embeddings of Laman graphs
We use Bernstein's Theorem [1] to obtain combinatorial bounds for the number of embeddings of Laman graph frameworks modulo rigid motions. For this, we study the mixed volume...
Reinhard Steffens, Thorsten Theobald
DAM
2011
14 years 6 months ago
Matchability and k-maximal matchings
We present a collection of new structural, algorithmic, and complexity results for two types of matching problems. The first problem involves the computation of k-maximal matchin...
Brian C. Dean, Sandra Mitchell Hedetniemi, Stephen...
SIROCCO
2007
15 years 1 months ago
Local Edge Colouring of Yao-Like Subgraphs of Unit Disk Graphs
The focus of the present paper is on providing a local deterministic algorithm for colouring the edges of Yao-like subgraphs of Unit Disc Graphs. These are geometric graphs such t...
Jurek Czyzowicz, Stefan Dobrev, Evangelos Kranakis...
WG
1999
Springer
15 years 4 months ago
Linear Orderings of Random Geometric Graphs
Abstract. In random geometric graphs, vertices are randomly distributed on [0, 1]2 and pairs of vertices are connected by edges whenever they are sufficiently close together. Layou...
Josep Díaz, Mathew D. Penrose, Jordi Petit,...