Identifying Shapes Using Self-assembly (Extended Abstract)

被引:0
|
作者
Patitz, Matthew J. [1 ]
Summers, Scott M. [2 ]
机构
[1] Univ Texas Pan Amer, Dept Comp Sci, Edinburg, TX 78539 USA
[2] Univ Wisconsin, Platteville, WI 53818 USA
来源
关键词
DNA;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we introduce the following problem in the theory of algorithmic self-assembly: given an input shape as the seed of a tile-based self-assembly system, design a finite tile set that can, in some sense, uniquely identify whether or not the given input shape-drawn from a very general class of shapes-matches a particular target shape. We first study the complexity of correctly identifying squares. Then we investigate the complexity associated with the identification of a considerably more general class of non-square, hole-free shapes.
引用
收藏
页码:458 / +
页数:3
相关论文
共 50 条
  • [1] Identifying Shapes Using Self-assembly
    Matthew J. Patitz
    Scott M. Summers
    Algorithmica, 2012, 64 : 481 - 510
  • [2] Identifying Shapes Using Self-assembly
    Patitz, Matthew J.
    Summers, Scott M.
    ALGORITHMICA, 2012, 64 (03) : 481 - 510
  • [3] Self-Assembly of Arbitrary Shapes Using RNAse Enzymes: Meeting the Kolmogorov Bound with Small Scale Factor (extended abstract)
    Demaine, Erik D.
    Patitz, Matthew J.
    Schweller, Robert T.
    Summers, Scott M.
    28TH INTERNATIONAL SYMPOSIUM ON THEORETICAL ASPECTS OF COMPUTER SCIENCE (STACS 2011), 2011, 9 : 201 - 212
  • [4] Limitations of Self-Assembly at Temperature One extended abstract)
    Doty, David
    Patitz, Matthew J.
    Summers, Scott M.
    ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2009, (01): : 67 - 69
  • [5] Programmable control of nucleation for algorithmic self-assembly (Extended abstract)
    Schulman, R
    Winfree, E
    DNA COMPUTING, 2005, 3384 : 319 - 328
  • [6] Building shapes by self-assembly
    Requicha, AAG
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON SHAPE MODELING AND APPLICATIONS, 2004, : 293 - 293
  • [7] DNA self-assembly for constructing 3D boxes - (Extended abstract)
    Kao, MY
    Ramachandran, V
    ALGORITHMS AND COMPUTATION, PROCEEDINGS, 2001, 2223 : 429 - 440
  • [8] RANDOMIZED SELF-ASSEMBLY FOR EXACT SHAPES
    Doty, David
    SIAM JOURNAL ON COMPUTING, 2010, 39 (08) : 3521 - 3552
  • [9] Randomized self-assembly for approximate shapes
    Kao, Ming-Yang
    Schweller, Robert
    AUTOMATA, LANGUAGES AND PROGRAMMING, PT 1, PROCEEDINGS, 2008, 5125 : 370 - +
  • [10] Randomized Self-Assembly for Exact Shapes
    Doty, David
    2009 50TH ANNUAL IEEE SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE: FOCS 2009, PROCEEDINGS, 2009, : 85 - 94