Power Edge Set and Zero Forcing Set Remain Difficult in Cubic Graphs

This paper presents new complexity and non-approximation results concerning two color propagation problems, namely Power Edge Set and Zero Forcing Set. We focus on cubic graphs, exploiting their structural properties to improve and refine previous results. We also give hardness results for parameterized precolored versions of these problems, and a polynomial-time algorithm for Zero Forcing Set in proper interval graphs.

Mots clés

Synchrophasor Power Edge Set Zero Forcing Set Complexity

Domaines

Complexité [cs.CC] Algorithme et structure de données [cs.DS]

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https://hal.science/hal-02359076

Soumis le : dimanche 9 juin 2024-21:10:45

Dernière modification le : mercredi 12 juin 2024-11:44:36

Dates et versions

hal-02359076 , version 1 (09-06-2024)

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Paternité

Identifiants

HAL Id : hal-02359076 , version 1
DOI : 10.1007/978-3-030-25005-8_11

Citer

Pierre Cazals, Benoit Darties, Annie Chateau, Rodolphe Giroudeau, Mathias Weller. Power Edge Set and Zero Forcing Set Remain Difficult in Cubic Graphs. IWOCA 2019 - 30th International Workshop on Combinatorial Algorithms, Jul 2019, Pisa, Italy. pp.122-135, ⟨10.1007/978-3-030-25005-8_11⟩. ⟨hal-02359076⟩

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