Complexity of Maximum Cut on Interval Graphs

被引:3
作者
Adhikary, Ranendu [1 ]
Bose, Kaustav [2 ]
Mukherjee, Satwik [1 ]
Roy, Bodhayan [3 ]
机构
[1] Jadavpur Univ, Kolkata, India
[2] Indian Stat Inst, Kolkata, India
[3] Indian Inst Technol Kharagpur, Kharagpur, India
关键词
Maximum cut; Interval graph; NP-complete; MAX-CUT; EFFICIENT ALGORITHMS; NP-COMPLETENESS; TIME ALGORITHM; APPROXIMATION; OPTIMIZATION; CLIQUE;
D O I
10.1007/s00454-022-00472-y
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We resolve the longstanding open problem concerning the computational complexity of MaxCut on interval graphs by showing that it is NP-complete.
引用
收藏
页码:307 / 322
页数:16
相关论文
共 47 条
  • [1] Adhikary R., 2020, ARXIV
  • [2] Adhikary R., 2021, 37 INT S COMPUTATION, V189
  • [3] [Anonymous], 1978, Food Webs and Niche Space
  • [4] The harmonious coloring problem is NP-complete for interval and permutation graphs
    Asdre, Katerina
    Ioannidou, Kyriaki
    Nikolopoulos, Stavros D.
    [J]. DISCRETE APPLIED MATHEMATICS, 2007, 155 (17) : 2377 - 2382
  • [5] AN APPLICATION OF COMBINATORIAL OPTIMIZATION TO STATISTICAL PHYSICS AND CIRCUIT LAYOUT DESIGN
    BARAHONA, F
    GROTSCHEL, M
    JUNGER, M
    REINELT, G
    [J]. OPERATIONS RESEARCH, 1988, 36 (03) : 493 - 513
  • [6] THE MAX-CUT PROBLEM ON GRAPHS NOT CONTRACTIBLE TO K5
    BARAHONA, F
    [J]. OPERATIONS RESEARCH LETTERS, 1983, 2 (03) : 107 - 111
  • [7] Berman P., 1999, Automata, Languages and Programming. 26th International Colloquium, ICALP'99. Proceedings (Lecture Notes in Computer Science Vol.1644), P200
  • [8] Bodlaender H. L., 2000, Nordic Journal of Computing, V7, P14
  • [9] Bodlaender H. L., 1999, Electron. Notes Discret. Math., V3, P19, DOI DOI 10.1016/S1571-0653(05)80014-9
  • [10] Bodlaender HL, 2004, LECT NOTES COMPUT SC, V3059, P87