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ISAAC
2009
Springer
142views Algorithms» more  ISAAC 2009»
13 years 9 months ago
Induced Packing of Odd Cycles in a Planar Graph
An induced packing of odd cycles in a graph is a packing such that there is no edge in a graph between any two odd cycles in the packing. We prove that the problem is solvable in t...
Petr A. Golovach, Marcin Kaminski, Daniël Pau...
DAM
2007
141views more  DAM 2007»
13 years 4 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 4 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 4 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
ICALP
2001
Springer
13 years 9 months ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot