Document Type
Technical Report
Publication Date
3-1994
Technical Report Number
PCS-TR94-206
Abstract
We present here an algorithm for detecting (and outputting, if exists) a negative cycle in an $n$-vertex planar digraph $G$ with real edge weights. Its running time ranges from $O(n)$ up to $O(n^{1.5}\log n)$ as a certain topological measure of $G$ varies from $1$ up to $\Theta(n)$. Moreover, an efficient CREW PRAM implementation is given. Our algorithm applies also to digraphs whose genus $\gamma$ is $o(n)$.
Dartmouth Digital Commons Citation
Kavvadias, Dimitris; Pantziou, Grammati E.; Spirakis, Paul G.; and Zaroliagis, Christos D., "Efficient Sequential and Parallel Algorithms for the Negative Cycle Problem" (1994). Computer Science Technical Report PCS-TR94-206. https://digitalcommons.dartmouth.edu/cs_tr/88