The directed genus of the de Bruijn graph

被引：3
|
作者：
Hales, Alfred W. [1 ]
Hartsfield, Nora [2 ]
机构：
[1] Ctr Commun Res, San Diego, CA 92121 USA
[2] Western Washington Univ, Dept Math, Bellingham, WA 98225 USA
来源：
DISCRETE MATHEMATICS | 2009年 / 309卷 / 17期
关键词：
Directed genus; de Bruijn graph; Directed embeddings; de Bruijn sequence invariant;
D O I：
10.1016/j.disc.2007.11.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Define the directed genus, Gamma(G), of an Eulerian digraph G to be the minimum value of p for which G has a 2-cell embedding in the orientable surface of genus p so that every face of the embedding is bounded by a directed circuit in G. The directed genus of the de Bruijn graph D-n is shown to be Gamma(D-n) = 2(n-1) + 1 - 1/2(n + 2) Sigma(d vertical bar n+2) phi(d)2(n+2/d). (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：5259 / 5263
页数：5
相关论文
共 50 条
  • [1] Cutwidth of the De Bruijn graph
    Raspaud, A
    Sykora, O
    Vrto, I
    [J]. RAIRO-INFORMATIQUE THEORIQUE ET APPLICATIONS-THEORETICAL INFORMATICS AND APPLICATIONS, 1995, 29 (06): : 509 - 514
  • [2] EXTENSION OF DE BRUIJN GRAPH AND KAUTZ GRAPH
    SHIBATA, Y
    GONDA, Y
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 30 (09) : 51 - 61
  • [3] A de novo Genome Assembler based on MapReduce and Bi-directed de Bruijn Graph
    Zhang, Yuehua
    Xuan, Pengfei
    Wang, Yunsheng
    Srimani, Pradip K.
    Luo, Feng
    [J]. 2016 IEEE INTERNATIONAL CONFERENCE ON BIOINFORMATICS AND BIOMEDICINE (BIBM), 2016, : 65 - 71
  • [4] Recoloring the Colored de Bruijn Graph
    Alipanahi, Bahar
    Kuhnle, Alan
    Boucher, Christina
    [J]. STRING PROCESSING AND INFORMATION RETRIEVAL, SPIRE 2018, 2018, 11147 : 1 - 11
  • [5] ON HOMOMORPHISMS OF DE BRUIJN GOOD GRAPH
    熊荣华
    [J]. Science Bulletin, 1986, (07) : 439 - 442
  • [6] Identifying codes on directed de Bruijn graphs
    Boutin, Debra
    Goliber, Victoria Horan
    Pelto, Mikko
    [J]. DISCRETE APPLIED MATHEMATICS, 2019, 262 : 29 - 41
  • [7] HDDB: Hierarchical directed de Bruijn network
    Mittal, R
    Cherian, D
    [J]. COMPUTERS & ELECTRICAL ENGINEERING, 1997, 23 (05) : 347 - 355
  • [8] What is the difference between the breakpoint graph and the de Bruijn graph?
    Lin, Yu
    Nurk, Sergey
    Pevzner, Pavel A.
    [J]. BMC GENOMICS, 2014, 15
  • [9] What is the difference between the breakpoint graph and the de Bruijn graph?
    Yu Lin
    Sergey Nurk
    Pavel A Pevzner
    [J]. BMC Genomics, 15
  • [10] CONSTRUCTING THE HAMILTON CYCLE ON γ-ARY DE BRUIJN-GOOD GRAPH——THE γ-ARY DE BRUIJN SEQUENCE
    杨君辉
    [J]. Journal of Systems Science & Complexity, 1991, (01) : 32 - 40
12345