Bounds on backtrack algorithms for listing cycles, paths, and spanning trees. Tarjan, E, R, Read, & C, R Networks, 5(3):237--252, 1975. Paper doi abstract bibtex Backtrack algorithms for listing certain kinds of subgraphs of a graph are described and analyzed. Included are algorithms for listing all spanning trees, all cycles, all simple cycles, or all of certain other kinds of paths. The algorithms have O(V+E) space requirements and O(V+E+EN) time requirements, if the problem graph has V vertices, E edges, and N subgraphs of the type to be listed.
@article{ Tarjan1975,
abstract = {Backtrack algorithms for listing certain kinds of subgraphs of a graph are described and analyzed. Included are algorithms for listing all spanning trees, all cycles, all simple cycles, or all of certain other kinds of paths. The algorithms have O(V+E) space requirements and O(V+E+EN) time requirements, if the problem graph has V vertices, E edges, and N subgraphs of the type to be listed.},
annote = {From Duplicate 2 ( },
author = {Tarjan, R E and Read, R C},
doi = {MY/Tarjan_Read_1975_Networks},
journal = {Networks},
number = {3},
pages = {237--252},
title = {{Bounds on backtrack algorithms for listing cycles, paths, and spanning trees}},
url = {http://scholar.google.com/scholar?hl=en\&btnG=Search\&q=intitle:Bounds+on+backtrack+algorithms+for+listing+cycles,+paths,+and+Spanning+trees.#0},
volume = {5},
year = {1975}
}
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