• DocumentCode
    3450292
  • Title

    Finding double Euler trails of planar graphs in linear time [CMOS VLSI circuit design]

  • Author

    Chen, Zhi-Zhong ; He, Xin ; Huang, Chun-Hsi

  • Author_Institution
    Dept. of Math. Sci., Tokyo Denki Univ., Saitama, Japan
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    319
  • Lastpage
    329
  • Abstract
    The paper answers an open question in the design of complimentary metal-oxide semiconductor (CMOS) VLSI circuits. It asks whether a polynomial-time algorithm can decide if a given planar graph has a plane embedding ε such that ε has a Euler trail P=e1e 2...em and its dual graph has a Euler trail P*=e 1*e2*...em* where ei* is the dual edge of ei for i=1, 2, ..., m. The paper answers this question in the affirmative by presenting a linear-time algorithm
  • Keywords
    CMOS integrated circuits; VLSI; circuit layout CAD; graph theory; integrated circuit layout; CMOS VLSI circuits; complimentary metal-oxide semiconductor VLSI circuit design; double Euler trails; dual edge; dual graph; linear time; linear-time algorithm; planar graphs; plane embedding; polynomial-time algorithm; Boolean functions; CMOS technology; Circuits; Helium; MOSFETs; Polynomials; Very large scale integration; Visualization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Foundations of Computer Science, 1999. 40th Annual Symposium on
  • Conference_Location
    New York City, NY
  • ISSN
    0272-5428
  • Print_ISBN
    0-7695-0409-4
  • Type

    conf

  • DOI
    10.1109/SFFCS.1999.814603
  • Filename
    814603