Analog Computer Understanding of Hamiltonian Paths, and a Possible Digitization
نویسنده
چکیده
This paper explores finding existence of undirected hamiltonian paths in a graph using lumped/ideal circuits, specifically low-pass filters. While other alternatives are possible, a first-order RC low-pass filter is chosen to describe the process. The paper proposes a way of obtaining time complexity for counting the number of hamiltonian paths in a graph, and then shows that the time complexity of the circuits is around O(n logn) where n is the number of vertices in a graph. Because analog computation is often undesirable due to several aspects, a possible digitization scheme is proposed in this paper.
منابع مشابه
Analog Computer Understanding of Hamiltonian Paths
This paper explores finding the number nh of undirected hamiltonian paths in an undirected graph G = (V,E) using lumped/ideal circuits, specifically low-pass filters. Ideal analog computation allows one to computer nh in a short period of time, but in practice, precision problems disturb this ideal nature. A digital/algorithmic approach is proposed, and then it is shown that the approach/method...
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