The hitting time, h(uv), of a random walk on a finite graph G, is the expected time for the walk to reach vertex v given that it started at vertex u. We present two methods of calculating the hitting time between vertices of finite graphs, along with applications to specific classes of graphs, including grids, trees, and the 'tadpole' graphs. (C) 2013 Elsevier B.V. All rights reserved.
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Rutgers State Univ, Dept Math, Hill Ctr Math Sci, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USARutgers State Univ, Dept Math, Hill Ctr Math Sci, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USA
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Univ Lille 1, Lab Paul Painleve, Cite Sci, F-59655 Villeneuve Dascq, FranceUniv Lille 1, Lab Paul Painleve, Cite Sci, F-59655 Villeneuve Dascq, France
Letemplier, Julien
Simon, Thomas
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Univ Lille 1, Lab Paul Painleve, Cite Sci, F-59655 Villeneuve Dascq, France
Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, FranceUniv Lille 1, Lab Paul Painleve, Cite Sci, F-59655 Villeneuve Dascq, France
Simon, Thomas
SEMINAIRE DE PROBABILITES XLVI,
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Sakata City Daini Jr High Sch, Sakata, Yamagata 9980864, JapanSakata City Daini Jr High Sch, Sakata, Yamagata 9980864, Japan
Doi, Yoshiaki
Konno, Norio
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Yokohama Natl Univ, Fac Engn, Dept Appl Math, Yokohama, Kanagawa 2408501, JapanSakata City Daini Jr High Sch, Sakata, Yamagata 9980864, Japan
Konno, Norio
Nakamigawa, Tomoki
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Shonan Inst Technol, Dept Informat Sci, Fujisawa, Kanagawa 2518511, JapanSakata City Daini Jr High Sch, Sakata, Yamagata 9980864, Japan
Nakamigawa, Tomoki
Sakuma, Tadashi
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Yamagata Univ, Fac Sci, Kojirakawa, Yamagata 9908560, JapanSakata City Daini Jr High Sch, Sakata, Yamagata 9980864, Japan
Sakuma, Tadashi
Segawa, Etsuo
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Yokohama Natl Univ, Grad Sch Educ Ctr, Yokohama, Kanagawa 2408501, Japan
Yokohama Natl Univ, Grad Sch Environm Informat Sci, Yokohama, Kanagawa 2408501, JapanSakata City Daini Jr High Sch, Sakata, Yamagata 9980864, Japan
Segawa, Etsuo
Shinohara, Hidehiro
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Tohoku Univ, Inst Excellence Higher Educ, Aoba Ku, Sendai, Miyagi 9808576, JapanSakata City Daini Jr High Sch, Sakata, Yamagata 9980864, Japan
Shinohara, Hidehiro
Tamura, Shunya
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Yokohama Natl Univ, Grad Sch Sci & Engn, Yokohama, Kanagawa 2408501, JapanSakata City Daini Jr High Sch, Sakata, Yamagata 9980864, Japan
Tamura, Shunya
Tanaka, Yuuho
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Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, JapanSakata City Daini Jr High Sch, Sakata, Yamagata 9980864, Japan
Tanaka, Yuuho
Toyota, Kosuke
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Yamagata Univ, Grad Sch Sci & Engn Sci, Kojirakawa, Yamagata 9908560, JapanSakata City Daini Jr High Sch, Sakata, Yamagata 9980864, Japan
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Univ Fed Rio Grande do Sul, Inst Matemat & Estat, Av Bento Goncalves 9500, BR-91509900 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Inst Matemat & Estat, Av Bento Goncalves 9500, BR-91509900 Porto Alegre, RS, Brazil