Spectral Planting and the Hardness of Refuting Cuts, Colorability, and Communities in Random Graphs

被引:0
|
作者
Bandeira, Afonso S. [1 ]
Banks, Jess [2 ]
Kunisky, Dmitriy [3 ]
Moore, Cristopher [4 ]
Wein, Alexander S. [3 ]
机构
[1] Department of Mathematics, ETH Zurich, Switzerland
[2] Department of Mathematics, UC Berkeley, United States
[3] Department of Mathematics, Courant Institute of Mathematical Sciences, NYU, United States
[4] Santa Fe Institute, United States
来源
关键词
Compilation and indexing terms; Copyright 2024 Elsevier Inc;
D O I
暂无
中图分类号
学科分类号
摘要
Chromatic number - Colorability - Computational hardness - Low degree - Plantings - Quiet planting - Random graphs - Refutation - Regular graphs - Spectral methods
引用
收藏
页码:410 / 473
相关论文
共 50 条
  • [1] Spectral Planting and the Hardness of Refuting Cuts, Colorability, and Communities in Random Graphs
    Bandeira, Afonso S.
    Banks, Jess
    Kunisky, Dmitriy
    Moore, Cristopher
    Wein, Alexander S.
    CONFERENCE ON LEARNING THEORY, VOL 134, 2021, 134 : 410 - 473
  • [2] Strongly Refuting Random CSPs Below the Spectral Threshold
    Raghavendra, Prasad
    Rao, Satish
    Schramm, Tselil
    STOC'17: PROCEEDINGS OF THE 49TH ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING, 2017, : 121 - 131
  • [3] Random walks and local cuts in graphs
    Chung, Fan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 423 (01) : 22 - 32
  • [4] EXTREMAL CUTS OF SPARSE RANDOM GRAPHS
    Dembo, Amir
    Montanari, Andrea
    Sen, Subhabrata
    ANNALS OF PROBABILITY, 2017, 45 (02): : 1190 - 1217
  • [5] RANDOM INTERSECTION GRAPHS WITH COMMUNITIES
    van der Hofstad, Remco
    Komjathy, Julia
    Vadon, Viktoria
    ADVANCES IN APPLIED PROBABILITY, 2021, 53 (04) : 1061 - 1089
  • [6] Spectral partitioning of random graphs
    McSherry, F
    42ND ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, PROCEEDINGS, 2001, : 529 - 537
  • [7] OPTIMAL CHEEGER CUTS AND BISECTIONS OF RANDOM GEOMETRIC GRAPHS
    Mueller, Tobias
    Penrose, Mathew D.
    ANNALS OF APPLIED PROBABILITY, 2020, 30 (03): : 1458 - 1483
  • [8] The spectral distribution of random mixed graphs
    Hu, Dan
    Li, Xueliang
    Liu, Xiaogang
    Zhang, Shenggui
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 519 : 343 - 365
  • [9] Spectral statistics of random geometric graphs
    Dettmann, C. P.
    Georgiou, O.
    Knight, G.
    EPL, 2017, 118 (01)
  • [10] A spectral heuristic for bisecting random graphs
    Coja-Oghlan, Amin
    RANDOM STRUCTURES & ALGORITHMS, 2006, 29 (03) : 351 - 398