Introduction to Algorithms
Journal of Computational and Applied Mathematics
Coreduction Homology Algorithm
Discrete & Computational Geometry
Characterizing obstacle-avoiding paths using cohomology theory
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
A fast algorithm to compute cohomology group generators of orientable 2-manifolds
Pattern Recognition Letters
Hi-index | 0.00 |
Two algorithms based upon a tree-cotree decomposition, called in this paper spanning tree technique (STT) and generalized spanning tree technique (GSTT), have been shown to be useful in computational electromagnetics. The aim of this paper is to give a rigorous description of the GSTT in terms of homology and cohomology theories, together with an analysis of its termination. In particular, the authors aim to show, by concrete counterexamples, that various problems related with both STT and GSTT algorithms exist. The counterexamples clearly demonstrate that the failure of STT and GSTT is not an exceptional event, but something that routinely occurs in practical applications.