The Metropolis algorithm for graph bisection

M Jerrum, GB Sorkin - Discrete Applied Mathematics, 1998 - Elsevier
We resolve in the affirmative a question of Boppana and Bui: whether simulated annealing
can, with high probability and in polynomial time, find the optimal bisection of a random …

[图书][B] Simulated annealing for graph bisection

M Jerrum, GB Sorkin - 1993 - ieeexplore.ieee.org
We resolve in the affirmative a question of RB Boppana and T. Bui: whether simulated
annealing can with high probability and in polynomial time, find the optimal bisection of a …

[PDF][PDF] Hill-climbing nds random planted bisections

T Carson, R Impagliazzo - Proceedings of the 12th Annual SIAM …, 2001 - Citeseer
We analyze the behavior of hill-climbing algorithms for the minimum bisection problem on
instances drawn from the\planted bisection" random graph model, Gn; p; q, previously …

Graph bisection algorithms with good average case behavior

TN Bui, S Chaudhuri, FT Leighton, M Sipser - Combinatorica, 1987 - Springer
In the paper, we describe a polynomial time algorithm that, for every input graph, either
outputs the minimum bisection of the graph or halts without output. More importantly, we …

Cut size statistics of graph bisection heuristics

GR Schreiber, OC Martin - SIAM Journal on Optimization, 1999 - SIAM
We investigate the statistical properties of cut sizes generated by heuristic algorithms which
solve the graph bisection problem approximately. On an ensemble of sparse random …

An exact combinatorial algorithm for minimum graph bisection

D Delling, D Fleischman, AV Goldberg… - Mathematical …, 2015 - Springer
We present a novel exact algorithm for the minimum graph bisection problem, whose goal is
to partition a graph into two equally-sized cells while minimizing the number of edges …

A spectral heuristic for bisecting random graphs

A Coja‐Oghlan - Random Structures & Algorithms, 2006 - Wiley Online Library
The minimum bisection problem is to partition the vertices of a graph into two classes of
equal size so as to minimize the number of crossing edges. Computing a minimum bisection …

Exact combinatorial branch-and-bound for graph bisection

D Delling, AV Goldberg, I Razenshteyn… - 2012 Proceedings of the …, 2012 - SIAM
We present a novel exact algorithm for the minimum graph bisection problem, whose goal is
to partition a graph into two equally-sized cells while minimizing the number of edges …

Algorithms for graph partitioning on the planted partition model

A Condon, RM Karp - Random Structures & Algorithms, 2001 - Wiley Online Library
The NP‐hard graph bisection problem is to partition the nodes of an undirected graph into
two equal‐sized groups so as to minimize the number of edges that cross the partition. The …

Algorithms for graph partitioning on the planted partition model

A Condon, RM Karp - International Workshop on Randomization and …, 1999 - Springer
The NP-hard graph bisection problem is to partition the nodes of an undirected graph into
two equal-sized groups so as to minimize the number of edges that cross the partition. The …