Approximability of the Minimum Maximal Matching Problem in Planar Graphs(Graphs and Networks)
スポンサーリンク
概要
- 論文の詳細を見る
Given an edge-weighted graph G, the minimum maximal matching problem asks to find a minimum weight maximal matching. The problem is known to be NP-hard even if the graph is planar and unweighted. In this paper, we consider the problem in planar graphs. First, we prove a strong inapproximability for the problem in weighted planar graphs. Second, in contrast with the first result, we show that a polynomial time approximation scheme (PTAS) for the problem in unweighted planar graphs can be obtained by a divide-and-conquer method based on the planar separator theorem. For a given ⋴ > 0, our scheme delivers in O(n log n+α^<1/(_<⋴>2) ⋴^<-1> n) time a solution with size at most (1 + ⋴) times the optimal value, where n is the number of vertices in G and α is a constant number.
- 社団法人電子情報通信学会の論文
- 2003-12-01
著者
-
Nishida Yukihiro
The Japan Research Institute Limited
-
Ibaraki Toshihide
Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University
-
Nagamochi Hiroshi
Department Of Applied Mathematics And Physics Graduate School Of Engineering Kyoto University
関連論文
- CONSTRUCTING CACTUS REPRESENTATION FOR ALL MINIMUM CUTS IN AN UNDIRECTED NETWORK
- Generation of Symmetric and Asymmetric Biconnected Rooted Outerplanar Graphs
- Generation of Symmetric and Asymmetric Biconnected Rooted Triangulated Planar Graphs
- 1A1 COMBINATORIAL OPTIMIZATION PROBLEMS AND ALGORITHMS IN DOUBLE-LAYERED FOOD PACKING EQUIPMENTS
- 6B2 AN ITERATED LOCAL SEARCH ALGORITHM FOR THE MULTI-RESOURCE GENERALIZED ASSIGNMENT PROBLEM WITH FLEXIBLE ASSIGNMENT COST(Technical session 6B: General model for scheduling and assignment problem)
- Constructing a Cactus for Minimum Cuts of a Graph in ★(mn+n^2logn) Time and ★(m) Space (Special Issue on Selected Papers from LA Symposium)
- A Clustering Method for Analysis of Sequence Similarity Networks of Proteins Using Maximal Components of Graphs
- Computing a Minimum Cut in a Graph with Dynamic Edges Incident to a Designated Vertex(Graph Algorithms,Foundations of Computer Science)
- A Simple Proof of a Minimum Cut Algorithm and Its Applications
- Approximating a Generalization of Metric TSP(Graph Algorithms,Foundations of Computer Science)
- Approximation to the Minimum Cost Edge Installation Problem
- A Randomness Based Analysis on the Data Size Needed for Removing Deceptive Patterns
- Performance Analysis of a Collision Detection Algorithm of Spheres Based on Slab Partitioning
- 4C1 SCHEDULING MULTIPROCESSOR TASKS WITH PROMPT SERVICE CONSTRAINTS ON ALIGNED IDENTICAL PROCESSORS
- Worst Case Analysis for Pickup and Delivery Problems with Transfer
- Measurement of Finite Amplitude Ultrasound Wave Fields by Light Beam CT : Acoustical Measurements and Instrumentation
- Optical Observation of Finite Amplitude Ultrasonic Waveform : Acoustical Measurements and Instrumentation
- 4A1 A LOCAL SEARCH ALGORITHM FOR ROUTING AND SCHEDULING PROBLEMS WITH TIME WINDOW AND TRAVELING TIME CONSTRAINTS(Technical session 4A : Vehicle routing)
- Orthogonal Drawings for Plane Graphs with Specified Face Areas(Theory of Computer Science and Its Applications)
- 1A2 AN IMPROVED APPROXIMATION ALGORITHM FOR CAPACITATED MULTICAST ROUTINGS IN NETWORKS(Technical session 1A: Combinatorial optimization)
- 5B2 AN ITERATED LOCAL SEARCH ALGORITHM BASED ON NONLINEAR PROGRAMMING FOR THE IRREGULAR STRIP PACKING PROBLEM(Technical session 5B: Packing problem)
- 2B1 A DP-BASED HEURISTIC ALGORITHM FOR THE DISCRETE SPLIT DELIVERY VEHICLE ROUTING PROBLEM(Technical session 2B: Vehicle scheduling and communication)
- A Fast Edge-Splitting Algorithm in Edge-Weighted Graphs(Discrete Mathematics and Its Applications)
- A Note on Approximating the Survivable Network Design Problem in Hypergraphs(Special Issue on Selected Papers from LA Symposium)
- Approximation Algorithms for Multicast Routings in a Network with Multi-Sources(Discrete Mathematics and Its Applications)
- An LP-Based Local Search to the One Dimensional Cutting Stock Problem Using a Given Number of Cutting Patterns
- Construction of Classifiers by Iterative Compositions of Features with Partial Knowledge(Discrete Mathematics and Its Applications)
- ALGORITHMS FOR QUADRATIC FRACTIONAL PROGRAMMING PROBLEMS
- A Fast Algorithm for Cactus Representations of Minimum Cuts
- Solving the Single-Vehicle Scheduling Problems for All Home Locations under Depth-First Routing on a Tree (Special Section on Discrete Mathematics and Its Applications)
- VEHICLE SCHEDULING ON A TREE TO MINIMIZE MAXIMUM LATENESS
- 1A1 Scheduling of Corrugated Paper Production(Technical session 1A: Combinatorial optimization)
- A PRIMAL CUTTING PLANE ALGORITHM FOR INTEGER FRACTIONAL PROGRAMMING PROBLEMS
- AN ASSIGNMENT PROBLEM ON A NETWORK
- MINIMUM DELAY SEMIJOIN SCHEDULES FOR LOCAL AREA DISTRIBUTED DATABASE SYSTEMS(Mathematical Theories on Computing Schemes and Their Applications)
- Approximability of the Minimum Maximal Matching Problem in Planar Graphs(Graphs and Networks)
- An Approximation of the Minimum Vertex Cover in a Graph
- Approximating the Minmax Rooted-Subtree Cover Problem(Graphs and Networks)
- Minimum Self-Dual Decompositions of Positive Dual-Minor Boolean Functions
- ON THE COMPUTATIONAL EFFICIENCY OF BRANCH-AND-BOUND ALGORITHMS
- PARTIALLY DEFINED BOOLEAN FUNCTIONS WITH APPLICATIONS TO DATA ANALYSIS : A SURVEY
- A Clustering Method for Analysis of Sequence Similarity Networks of Proteins Using Maximal Components of Graphs
- A Clustering Method for Analysis of Sequence Similarity Networks of Proteins Using Maximal Components of Graphs
- A Dynamic Programming Based Improvement Heuristic for a Repetitive Routing Problem of Grasp-and-Delivery Robots
- Better Approximation Algorithms for Grasp-and-Delivery Robot Routing Problems
- 4A2 NETWORK TRANSFORMATION HEURISTICS FOR MULTI-STORY STORAGE RACK PROBLEMS(Technical session 4A: Material handling system)
- 5B1 IMPROVED IMPLEMENTATION OF AN APPROXIMATION ALGORITHM WITH FACTOR TWO FOR A CYCLIC ROUTING PROBLEM OF GRASP-AND-DELIVERY ROBOTS(Technical session 5B: Routing problems)
- 5B3 APPROXIMATING CYCLIC ROUTING PROBLEMS OF GRASP-AND-DELIVERY ROBOTS IN PRODUCTION OF PRINTED CIRCUIT BOARDS(Technical session 5B: Routing problems)
- Scheduling Capacitated One-Way Vehicles on Paths with Deadlines
- A DP-based Heuristic Algorithm for the Discrete Split Delivery Vehicle Routing Problem