Random walks on edge-transitive graphs (II)

José Luis Palacios; José Miguel Renom; Pedro Berrizbeitia

doi:10.1016/s0167-7152(98)00241-7

Random walks on edge-transitive graphs (II)

José Luis Palacios, José Miguel Renom, Pedro Berrizbeitia

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14 Citas (Scopus)

Resumen

We give formulas, in terms of the number of pure k-cycles, for the expected hitting times between vertices at distances greater than 1 for random walks on edge-transitive graphs, extending our prior results for neighboring vertices and also extending results of Devroye-Sbihi and Biggs concerning distance-regular graphs. We apply these formulas to a class of Cayley graphs and give explicit values for the expected hitting times.

Idioma original	Inglés
Páginas (desde-hasta)	25-32
Número de páginas	8
Publicación	Statistics and Probability Letters
Volumen	43
N.º	1
DOI	https://doi.org/10.1016/s0167-7152(98)00241-7
Estado	Publicada - 15 may. 1999
Publicado de forma externa	Sí

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title = "Random walks on edge-transitive graphs (II)",

abstract = "We give formulas, in terms of the number of pure k-cycles, for the expected hitting times between vertices at distances greater than 1 for random walks on edge-transitive graphs, extending our prior results for neighboring vertices and also extending results of Devroye-Sbihi and Biggs concerning distance-regular graphs. We apply these formulas to a class of Cayley graphs and give explicit values for the expected hitting times.",

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T1 - Random walks on edge-transitive graphs (II)

AU - Palacios, José Luis

AU - Renom, José Miguel

AU - Berrizbeitia, Pedro

PY - 1999/5/15

Y1 - 1999/5/15

N2 - We give formulas, in terms of the number of pure k-cycles, for the expected hitting times between vertices at distances greater than 1 for random walks on edge-transitive graphs, extending our prior results for neighboring vertices and also extending results of Devroye-Sbihi and Biggs concerning distance-regular graphs. We apply these formulas to a class of Cayley graphs and give explicit values for the expected hitting times.

AB - We give formulas, in terms of the number of pure k-cycles, for the expected hitting times between vertices at distances greater than 1 for random walks on edge-transitive graphs, extending our prior results for neighboring vertices and also extending results of Devroye-Sbihi and Biggs concerning distance-regular graphs. We apply these formulas to a class of Cayley graphs and give explicit values for the expected hitting times.

KW - Cayley graphs

KW - Edge-transitive graphs

KW - Hitting times

UR - https://www.scopus.com/pages/publications/0041876527

U2 - 10.1016/s0167-7152(98)00241-7

DO - 10.1016/s0167-7152(98)00241-7

M3 - Article

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JO - Statistics and Probability Letters

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ER -

Random walks on edge-transitive graphs (II)

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