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Flips on homologous orientations of surface graphs with prescribed forbidden facial cycles

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  • Zhang, Weijuan
  • Qian, Jianguo

Abstract

Let G be a graph embedded on an orientable surface. Given a class C of facial cycles of G as a forbidden class, we give a sufficient and necessary condition such that an α-orientation (orientation with prescribed out-degrees) of G can be transformed into another by a sequence of flips on non-forbidden cycles and further give an explicit formula for the minimum number of such flips.

Suggested Citation

  • Zhang, Weijuan & Qian, Jianguo, 2023. "Flips on homologous orientations of surface graphs with prescribed forbidden facial cycles," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    • Handle: RePEc:eee:apmaco:v:444:y:2023:i:c:s0096300322008487
    DOI: 10.1016/j.amc.2022.127780
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    References listed on IDEAS

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    1. Yann Disser & Jannik Matuschke, 2016. "Degree-constrained orientations of embedded graphs," Journal of Combinatorial Optimization, Springer, vol. 31(2), pages 758-773, February.
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