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Loop-Erased Random Walks, Spanning Trees and Hamiltonian Cycles

   
@article{ECP1016,
	author = {Philippe Marchal},
	title = {Loop-Erased Random Walks, Spanning Trees and Hamiltonian Cycles},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {5},
	year = {1999},
	keywords = {Loop-erased random walk, spanning tree, Wilson's algorithm},
	abstract = {We establish a formula for the distribution of loop-erased random walks at certain random times. Several classical results on spanning trees, including Wilson's algorithm, follow easily, as well as a method to construct random Hamiltonian cycles.},
	pages = {no. 4, 39-50},
	issn = {1083-589X},
	doi = {10.1214/ECP.v5-1016},    
        url = {http://ecp.ejpecp.org/article/view/1016}}