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» Packing d-degenerate graphs
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DAM
2007
141views more  DAM 2007»
13 years 5 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
CORR
2008
Springer
103views Education» more  CORR 2008»
13 years 5 months ago
Packing multiway cuts in capacitated graphs
We consider the following "multiway cut packing" problem in undirected graphs: we are given a graph G = (V, E) and k commodities, each corresponding to a set of terminal...
Siddharth Barman, Shuchi Chawla
CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 5 months ago
On Packing Colorings of Distance Graphs
The packing chromatic number (G) of a graph G is the least integer k for which there exists a mapping f from V (G) to {1, 2, . . ., k} such that any two vertices of color i
Olivier Togni
COMBINATORICS
2006
110views more  COMBINATORICS 2006»
13 years 5 months ago
Jamming and Geometric Representations of Graphs
We expose a relationship between jamming and a generalization of Tutte's barycentric embedding. This provides a basis for the systematic treatment of jamming and maximal packi...
Werner Krauth, Martin Loebl
FCT
2007
Springer
13 years 9 months ago
Multi-dimensional Packing with Conflicts
We study the multi-dimensional version of the bin packing problem with conflicts. We are given a set of squares V = {1, 2, . . . , n} with sides s1, s2, . . . , sn [0, 1] and a co...
Leah Epstein, Asaf Levin, Rob van Stee