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Decomposability of a class of k-cutwidth critical graphs

Author

Listed:
  • Zhen-Kun Zhang

    (Huanghuai University)

  • Zhong Zhao

    (Huanghuai University)

  • Liu-Yong Pang

    (Huanghuai University)

Abstract

The cutwidth minimization problem consists of finding an arrangement of the vertices of a graph G on a line $$P_n$$ P n with $$n=|V(G)|$$ n = | V ( G ) | vertices, in such a way that the maximum number of overlapping edges (i.e., the congestion) is minimized. A graph G with cutwidth k is k-cutwidth critical if every proper subgraph of G has cutwidth less than k and G is homeomorphically minimal. In this paper, we mainly investigated a class of decomposable k-cutwidth critical graphs for $$k\ge 2$$ k ≥ 2 , which can be decomposed into three $$(k-1)$$ ( k - 1 ) -cutwidth critical subgraphs.

Suggested Citation

  • Zhen-Kun Zhang & Zhong Zhao & Liu-Yong Pang, 2022. "Decomposability of a class of k-cutwidth critical graphs," Journal of Combinatorial Optimization, Springer, vol. 43(2), pages 384-401, March.
  • Handle: RePEc:spr:jcomop:v:43:y:2022:i:2:d:10.1007_s10878-021-00782-6
    DOI: 10.1007/s10878-021-00782-6
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    References listed on IDEAS

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    1. Zhen-Kun Zhang & Hong-Jian Lai, 2017. "Characterizations of k-cutwidth critical trees," Journal of Combinatorial Optimization, Springer, vol. 34(1), pages 233-244, July.
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    Cited by:

    1. Zhenkun Zhang & Hongjian Lai, 2023. "Structures of Critical Nontree Graphs with Cutwidth Four," Mathematics, MDPI, vol. 11(7), pages 1-22, March.

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    1. Zhenkun Zhang & Hongjian Lai, 2023. "Structures of Critical Nontree Graphs with Cutwidth Four," Mathematics, MDPI, vol. 11(7), pages 1-22, March.

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