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MP
1998
117views more  MP 1998»
13 years 9 months ago
The node capacitated graph partitioning problem: A computational study
In this paper we consider the problem of ^-partitioning the nodes of a graph with capacity restrictions on the sum of the node weights in each subset of the partition, and the obje...
Carlos Eduardo Ferreira, Alexander Martin, C. Carv...
JCT
2006
134views more  JCT 2006»
13 years 10 months ago
MacLane's planarity criterion for locally finite graphs
MacLane's planarity criterion states that a finite graph is planar if and only if its cycle space has a basis B such that every edge is contained in at most two members of B....
Henning Bruhn, Maya Jakobine Stein
SIAMDM
2010
140views more  SIAMDM 2010»
13 years 8 months ago
Retractions to Pseudoforests
For a fixed graph H, let Ret(H) denote the problem of deciding whether a given input graph is retractable to H. We classify the complexity of Ret(H) when H is a graph (with loops ...
Tomás Feder, Pavol Hell, Peter Jonsson, And...
DM
1998
73views more  DM 1998»
13 years 9 months ago
On constructing snakes in powers of complete graphs
We prove the conjecture of Abbott and Katchalski that for every m ≥ 2 there is a positive constant λm such that S(Kd mn) ≥ λmnd−1 S(Kd−1 m ) where S(Kd m) is the length o...
Jerzy Wojciechowski
GECCO
2006
Springer
147views Optimization» more  GECCO 2006»
14 years 1 months ago
Generalized cycle crossover for graph partitioning
We propose a new crossover that generalizes cycle crossover to permutations with repetitions and naturally suits partition problems. We tested it on graph partitioning problems ob...
Alberto Moraglio, Yong-Hyuk Kim, Yourim Yoon, Byun...