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COMBINATORICS
2004
108views more  COMBINATORICS 2004»
13 years 5 months ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...
COCOON
2009
Springer
14 years 10 days ago
Edge-Intersection Graphs of k-Bend Paths in Grids
Edge-intersection graphs of paths in grids are graphs that can be represented with vertices as paths in grids and edges between the vertices of the graph exist whenever two grid pa...
Therese C. Biedl, Michal Stern
IV
2009
IEEE
191views Visualization» more  IV 2009»
14 years 12 days ago
An Heuristic for the Construction of Intersection Graphs
Most methods for generating Euler diagrams describe the detection of the general structure of the final draw as the first and most important step. This information is often depi...
Paolo Simonetto, David Auber
WG
2004
Springer
13 years 11 months ago
A Robust PTAS for Maximum Weight Independent Sets in Unit Disk Graphs
A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem i...
Tim Nieberg, Johann Hurink, Walter Kern
EJC
2010
13 years 5 months ago
Perfect matchings with restricted intersection in cubic graphs
A conjecture of G. Fan and A. Raspaud asserts that every bridgeless cubic graph contains three perfect matchings with empty intersection. We suggest a possible approach to problem...
Tomás Kaiser, André Raspaud