Characterization of graphs with equal bandwidth and cyclic bandwidth

Peter C. B. LAM, Wai Chee SHIU, Wai Hong CHAN

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9 Citations (Scopus)

Abstract

B(G) and Bc(G) denote the bandwidth and cyclic bandwidth of graph G, respectively. In this paper, we shall give a characterization of graphs with equal bandwidth and cyclic bandwidth. Those graphs include any plane graph G with B(G) <p/m, where p and m are the number of vertices and the maximum degree of bounded faces of G, respectively. Hence convex triangulation meshes Tm,n,l with min{m,n,l}⩾4 and grids Pm×Pn with m⩾3 also fall in this class. Copyright © 2002 Elsevier Science B.V. All rights reserved.
Original languageEnglish
Pages (from-to)283-289
JournalDiscrete Mathematics
Volume242
Issue number1-3
DOIs
Publication statusPublished - Jan 2002

Citation

Lam, P. C. B., Shiu, W. C., & Chan, W. H. (2002). Characterization of graphs with equal bandwidth and cyclic bandwidth. Discrete Mathematics, 242(1), 283-289. doi: 10.1016/S0012-365X(00)00379-4

Keywords

  • Bandwidth
  • Cyclic bandwidth
  • Convex triangulation meshes

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