منابع مشابه
The hypergraph assignment problem
The hypergraph assignment problem (HAP) is the generalization of assignments from directed graphs to directed hypergraphs. It serves, in particular, as a universal tool to model several train composition rules in vehicle rotation planning for long distance passenger railways. We prove that even for problems with a small hyperarc size and hypergraphs with a special partitioned structure the HAP ...
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Parisi’s famous (proven) conjecture states that the expected cost of an optimal assignment in a complete bipartite graph on n + n nodes with i. i. d. exponential edge costs with mean 1 is ∑n i=1 1/i , which converges to an asymptotic limit of π/6 as n tends to infinity. We consider a generalization of this question to complete “partitioned” bipartite hypergraphs G2,n that contain edges of size ...
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Let H = (V,E) be an r-uniform hypergraph and let F ⊂ 2 . A matching M of H is (α,F)perfect if for each F ∈ F , at least α|F | vertices of F are covered by M . Our main result is a theorem giving sufficient conditions for an r-uniform hypergraph to have a (1− ,F)-perfect matching. As a special case of our theorem we obtain the following result. Let K(n, r) denote the complete r-uniform hypergrap...
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ژورنال
عنوان ژورنال: Discrete Optimization
سال: 2015
ISSN: 1572-5286
DOI: 10.1016/j.disopt.2014.11.002