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COMBINATORICS
2006
124views more  COMBINATORICS 2006»
14 years 10 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
COMGEO
2007
ACM
14 years 10 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
CP
2006
Springer
15 years 3 days ago
Graph Properties Based Filtering
Abstract. This report presents a generic filtering scheme, based on the graph description of global constraints. This description is defined by a network of binary constraints and ...
Nicolas Beldiceanu, Mats Carlsson, Sophie Demassey...
DCG
2010
80views more  DCG 2010»
14 years 10 months ago
Geometry of Configuration Spaces of Tensegrities
Consider a graph G with n vertices. In this paper we study geometric conditions for an n-tuple of points in Rd to admit a non-zero self stress with underlying graph G. We introduce...
Franck Doray, Oleg Karpenkov, Jan Schepers
TALG
2008
115views more  TALG 2008»
14 years 10 months ago
Combinatorial bounds via measure and conquer: Bounding minimal dominating sets and applications
We provide an algorithm listing all minimal dominating sets of a graph on n vertices in
Fedor V. Fomin, Fabrizio Grandoni, Artem V. Pyatki...