• Title/Summary/Keyword: Max k-Cut 문제

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Max k-Cut based Clustering Algorithm for Wireless Sensor Networks (무선 센서 네트워크에서의 Max k-Cut기반의 클러스터링 알고리즘)

  • Kim, Jae-Hwan;Chang, Hyeong-Soo
    • Journal of KIISE:Information Networking
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    • v.36 no.2
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    • pp.98-107
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    • 2009
  • In this paper, we propose a novel centralized energy-efficient clustering algorithm, called "MCCA : Max k-Cut based Clustering Algorithm for Wireless Sensor Networks." The algorithm does not use location information and constructs clusters via a distributive Max k-Cut based cluster-head election method, where only relative and approximate distance information with neighbor nodes is used and nodes, not having enough energy, are excluded for cluster-heads for a specific period. We show that the energy efficiency performance of MCCA is better than that of LEACH, EECS and similar to BCDCP's by simulation studies.

A Spanning Tree-based Representation and Its Application to the MAX CUT Problem (신장 트리 기반 표현과 MAX CUT 문제로의 응용)

  • Hyun, Soohwan;Kim, Yong-Hyuk;Seo, Kisung
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.12
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    • pp.1096-1100
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    • 2012
  • Most of previous genetic algorithms for solving graph problems have used a vertex-based encoding. We proposed an edge encoding based new genetic algorithm using a spanning tree. Contrary to general edge-based encoding, a spanning tree-based encoding represents only feasible partitions. As a target problem, we adopted the MAX CUT problem, which is well known as a representative NP-hard problem, and examined the performance of the proposed genetic algorithm. The experiments on benchmark graphs are executed and compared with vertex-based encoding. Performance improvements of the spanning tree-based encoding on sparse graphs was observed.

Simple Algorithm for Baseball Elimination Problem (야구 배제 문제의 단순 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.20 no.3
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    • pp.147-152
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    • 2020
  • The baseball elimination problem(BEP) is eliminates teams that finishes the season in the early stage without play the remaining games because of the team never most wins even though all wins of remaining games. This problem solved by max-flow/min-cut theorem. But the max-flow/min-cut method has a shortcoming of iterative constructs the network for all of team and decides the min-cut for each network. This paper suggests ascending sort in wins game plus remaining games for each team, then the candidate eliminating team set K with lower 1/2 rank and most easy, simple, and fast computes the existence or not of subset R that a team elimination decision. As a result of various experimental data, this algorithm can be find all of elimination teams for whole data with fast and correct.

Maximum Capacity-based Minimum Cut Algorithm (최대 수용량-기반 최소절단 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.5
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    • pp.153-162
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    • 2011
  • The minimum cut problem is to minimize c(S,T), that is, to determine source S and sink T such that the capacity of the S-T cut is minimal. The flow-based algorithm is mostly used to find the bottleneck arcs by calculating flow network, and does not presents the minimum cut. This paper suggests an algorithm that simply includes the maximum capacity vertex to adjacent set S or T and finds the minimum cut without obtaining flow network in advance. On applying the suggested algorithm to 13 limited graphs, it can be finds the minimum cut value $_{\min}c$(S, T) with simply and correctly.