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ACTA
2008
136views more  ACTA 2008»
13 years 7 months ago
Two-dimensional packing with conflicts
We study the two-dimensional version of the bin packing problem with conflicts. We are given a set of (two-dimensional) squares V = {1, 2, . . . , n} with sides s1, s2 . . . , sn ...
Leah Epstein, Asaf Levin, Rob van Stee
DM
2010
140views more  DM 2010»
13 years 7 months ago
Online Ramsey games for triangles in random graphs
In the online F-avoidance edge-coloring game with r colors, a graph on n vertices is generated by at each stage randomly adding a new edge. The player must color each new edge as ...
József Balogh, Jane Butterfield
CCCG
2010
13 years 9 months ago
Approximating the independent domatic partition problem in random geometric graphs - an experimental study
We investigate experimentally the Domatic Partition (DP) problem, the Independent Domatic Partition (IDP) problem and the Idomatic partition problem in Random Geometric Graphs (RG...
Dhia Mahjoub, Angelika Leskovskaya, David W. Matul...
EJC
2010
13 years 7 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
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
13 years 7 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...