Feedback vertex sets and cyclically reducible graphs
Journal of the ACM (JACM)
On locating minimum feedback vertex sets
Journal of Computer and System Sciences
Introduction to parallel algorithms and architectures: array, trees, hypercubes
Introduction to parallel algorithms and architectures: array, trees, hypercubes
Product-shuffle networks: toward reconciling shuffles and butterflies
Discrete Applied Mathematics - Special double volume: interconnection networks
On the feedback vertex set problem in permutation graphs
Information Processing Letters
Incomplete hypercubes: embeddings of tree-related networks
Journal of Parallel and Distributed Computing
A linear-time algorithm for the weighted feedback vertex problem on interval graphs
Information Processing Letters
Almost exact minimum feedback vertex set in meshes and butterflies
Information Processing Letters
Real-time emulations of bounded-degree networks
Information Processing Letters - Special issue on parallel models
Size bounds for dynamic monopolies
Discrete Applied Mathematics
Solving the feedback vertex set problem on undirected graphs
Discrete Applied Mathematics
Feedback vertex set in hypercubes
Information Processing Letters
Wavelength conversion in optical networks
Journal of Algorithms
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Minimum feedback vertex set and acyclic coloring
Information Processing Letters
New bounds on the size of the minimum feedback vertex set in meshes and butterflies
Information Processing Letters
A Polyhedral Approach to the Feedback Vertex Set Problem
Proceedings of the 5th International IPCO Conference on Integer Programming and Combinatorial Optimization
Minimum feedback vertex sets in shuffle-based interconnection networks
Information Processing Letters
Approximation algorithms for combinatorial problems
Journal of Computer and System Sciences
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In this paper, we consider the minimum feedback vertex set problem in graphs, i.e., the problem of finding a minimal cardinality subset of the vertices, whose removal makes a graph acyclic. The problem is NP-hard for general topologies, but optimal and near-optimal solutions have been provided for particular networks. In this paper, the problem is considered for undirected graphs with the following topologies: two- and higher-dimensional meshes of trees, trees of meshes, and pyramid networks. For the two-dimensional meshes of trees the results are optimal; for the higher-dimensional meshes of trees and the tree of meshes the results are asymptotically optimal. For the pyramid networks, there remains a small factor between the upper and the lower bounds.