Computing optimal Morse matchings

被引：48
|
作者：
Joswig, M
Pfetsch, ME
机构：
[1] Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany
[2] Zuse Inst Berlin, D-14195 Berlin, Germany
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 2006年 / 20卷 / 01期
关键词：
discrete Morse function; Morse matching;
D O I：
10.1137/S0895480104445885
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Morse matchings capture the essential structural information of discrete Morse functions. We show that computing optimal Morse matchings is NP-hard and give an integer programming formulation for the problem. Then we present polyhedral results for the corresponding polytope and report on computational results.
引用
收藏
页码：11 / 25
页数：15
相关论文
共 50 条
  • [31] The Number of Optimal Matchings for Euclidean Assignment on the Line
    Sergio Caracciolo
    Vittorio Erba
    Andrea Sportiello
    Journal of Statistical Physics, 2021, 183
  • [32] The Number of Optimal Matchings for Euclidean Assignment on the Line
    Caracciolo, Sergio
    Erba, Vittorio
    Sportiello, Andrea
    JOURNAL OF STATISTICAL PHYSICS, 2021, 183 (01)
  • [33] Discrete Morse Theory for Computing Zigzag Persistence
    Maria, Clement
    Schreiber, Hannah
    DISCRETE & COMPUTATIONAL GEOMETRY, 2024, 71 (02) : 708 - 737
  • [34] Discrete Morse Theory for Computing Zigzag Persistence
    Clément Maria
    Hannah Schreiber
    Discrete & Computational Geometry, 2024, 71 : 708 - 737
  • [35] Discrete Morse Theory for Computing Zigzag Persistence
    Maria, Clement
    Schreiber, Hannah
    ALGORITHMS AND DATA STRUCTURES, WADS 2019, 2019, 11646 : 538 - 552
  • [36] OPTIMAL MATCHINGS + DEGREE-CONSTRAINED SUBGRAPHS
    GOLDMAN, AJ
    AMERICAN MATHEMATICAL MONTHLY, 1964, 71 (06): : 714 - &
  • [37] MORSE FAMILIES IN OPTIMAL CONTROL PROBLEMS
    Barbero-Linan, Maria
    Iglesias Ponte, David
    De Diego, David Martin
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2015, 53 (01) : 414 - 433
  • [38] Matchings and Decision Trees for Determining Optimal Therapy
    Korepanova, Natalia
    Kuznetsov, Sergei O.
    Karachunskiy, Alexander I.
    ANALYSIS OF IMAGES, SOCIAL NETWORKS AND TEXTS, 2014, 436 : 101 - 110
  • [39] Manipulation of optimal matchings via predonation of endowment
    Fiestras-Janeiro, G
    Klijn, F
    Sánchez, E
    MATHEMATICAL SOCIAL SCIENCES, 2004, 47 (03) : 295 - 312
  • [40] Towards an optimal contention resolution scheme for matchings
    Nuti, Pranav
    Vondrak, Jan
    MATHEMATICAL PROGRAMMING, 2025, 210 (1-2) : 761 - 792
12345