Combinatorial PDEs on Hamming graphs

被引：1
|
作者：
Barletta, E [1 ]
Dragomir, S [1 ]
机构：
[1] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy
来源：
DISCRETE MATHEMATICS | 2002年 / 254卷 / 1-3期
关键词：
D O I：
10.1016/S0012-365X(01)00363-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We solve the initial value problems for the (combinatorial) heat, wave, and Cattaneo equations on a Hamming graph. We compute the Green kernel of the infinite graph G infinity containing all Hamming graphs G(N,) N greater than or equal to 1, got by joining G(N) and G(N+1) along the boundary. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：1 / 18
页数：18
相关论文
共 50 条
  • [31] The competition numbers of ternary Hamming graphs
    Park, Boram
    Sano, Yoshio
    [J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (09) : 1608 - 1613
  • [32] Phylogeny Numbers of Generalized Hamming Graphs
    Qian, Chengyang
    Wu, Yaokun
    Xiong, Yanzhen
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (05) : 2733 - 2744
  • [33] The Square of Some Generalized Hamming Graphs
    Li, Yipeng
    Zhang, Jing
    Wang, Meili
    [J]. MATHEMATICS, 2023, 11 (11)
  • [34] Isometric Hamming embeddings of weighted graphs
    Berleant, Joseph
    Sheridan, Kristin
    Condon, Anne
    Williams, Virginia Vassilevska
    Bathe, Mark
    [J]. DISCRETE APPLIED MATHEMATICS, 2023, 332 : 119 - 128
  • [35] Notes on Johnson and Hamming signed graphs
    Koledin, Tamara
    Stanic, Zoran
    [J]. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2022, 65 (03): : 303 - 315
  • [36] Neighbour transitivity on codes in Hamming graphs
    Gillespie, Neil I.
    Praeger, Cheryl E.
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2013, 67 (03) : 385 - 393
  • [37] Hamming graphs and special LCD codes
    W. Fish
    J. D. Key
    E. Mwambene
    B. G. Rodrigues
    [J]. Journal of Applied Mathematics and Computing, 2019, 61 : 461 - 479
  • [38] On k-partitioning of Hamming graphs
    Bezrukov, SL
    Elsässer, R
    Schroeder, UP
    [J]. DISCRETE APPLIED MATHEMATICS, 1999, 95 (1-3) : 127 - 140
  • [39] Hamming Index of the Product of Two Graphs
    Harshitha, A.
    Nayak, Swati
    D'Souza, Sabitha
    Bhat, Pradeep G.
    [J]. ENGINEERING LETTERS, 2022, 30 (03) : 1065 - 1072
  • [40] Phylogeny Numbers of Generalized Hamming Graphs
    Chengyang Qian
    Yaokun Wu
    Yanzhen Xiong
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45 : 2733 - 2744
12345