Bounds on backtrack algorithms for listing cycles, paths, and spanning trees. Tarjan, E, R, Read, & C, R Networks, 5(3):237--252, 1975.
Bounds on backtrack algorithms for listing cycles, paths, and spanning trees [link]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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