کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
427355 | 686492 | 2014 | 5 صفحه PDF | دانلود رایگان |
• We describe a new algorithm for graph homomorphism problem.
• We adapt our algorithm for the locally injective graph homomorphism problem.
• We apply the algorithm to some special cases of the graph homomorphism problem.
For graphs G and H, a homomorphism from G to H is a function φ:V(G)→V(H)φ:V(G)→V(H), which maps vertices adjacent in G to adjacent vertices of H. A homomorphism is locally injective if no two vertices with a common neighbor are mapped to a single vertex in H . Many cases of graph homomorphism and locally injective graph homomorphism are NP-complete, so there is little hope to design polynomial-time algorithms for them. In this paper we present an algorithm for graph homomorphism and locally injective homomorphism working in time O⁎((b+2)|V(G)|)O⁎((b+2)|V(G)|), where b is the bandwidth of the complement of H.
Journal: Information Processing Letters - Volume 114, Issue 7, July 2014, Pages 387–391