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Two operators on sandpile configurations, the sandpile model on the complete bipartite graph, and a Cyclic Lemma

EngineeringGraph TheoryAlgebraic Graph TheoryStructural Graph TheorySandpile ModelExtremal Graph TheoryCombinatorial DesignComputational ComplexityCyclic LemmaDiscrete MathematicsSandpile ConfigurationsOriented MatroidsCombinatorial Optimization