Current Proceedings on Technology
Yazarlar: Xiaoshan Liu, Qi Wang
Konular:-
Anahtar Kelimeler:Hypergraph,Embedding,Polynomial-time approximation scheme (PTAS)
Özet: A cycle rings is an undirected graph obtained from a cycle by replacing each edge of the cycle with a ring so that two rings corresponding to the two end-nodes of any edge have precisely one node in common. Given a weighted hypergraph on a cycle rings , Minimum-Congestion Weighted Hypergraph Embedding in a cycle rings (WHECR) is to embed each weighted hyperedges as a path in the cycle rings such that maximal congestion-the sum of weight of embedding paths that use any edge in the cycle rings -is minimized. We prove that the WHECR problem is NP-complete. 2-approximation algorithms are presented for the WHECR problem.