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Plane augmentation of plane graphs to meet parity constraints

Author

Listed:
  • Catana, J.C.
  • García, A.
  • Tejel, J.
  • Urrutia, J.

Abstract

A plane topological graph G=(V,E) is a graph drawn in the plane whose vertices are points in the plane and whose edges are simple curves that do not intersect, except at their endpoints. Given a plane topological graph G=(V,E) and a set CG of parity constraints, in which every vertex has assigned a parity constraint on its degree, either even or odd, we say that G is topologically augmentable to meet CG if there exists a set E′ of new edges, disjoint with E, such that G′=(V,E∪E′) is noncrossing and meets all parity constraints.

Suggested Citation

  • Catana, J.C. & García, A. & Tejel, J. & Urrutia, J., 2020. "Plane augmentation of plane graphs to meet parity constraints," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    • Handle: RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304719
    DOI: 10.1016/j.amc.2020.125513
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    References listed on IDEAS

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    1. Dong, Changchang & Liu, Juan & Zhang, Xindong, 2018. "Supereulerian digraphs with given diameter," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 5-13.
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    1. Dong, Changchang & Meng, Jixiang & Liu, Juan, 2021. "Sufficient Ore type condition for a digraph to be supereulerian," Applied Mathematics and Computation, Elsevier, vol. 410(C).

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