On the number of planar orientations with prescribed degrees.
Felsner, Stefan, Zickfeld, Florian (2008)
The Electronic Journal of Combinatorics [electronic only]
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Felsner, Stefan, Zickfeld, Florian (2008)
The Electronic Journal of Combinatorics [electronic only]
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Biedl, Therese C. (1998)
Journal of Graph Algorithms and Applications
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Wood, David R. (2003)
Journal of Graph Algorithms and Applications
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Dillencourt, Michael B., Eppstein, David, Hirschberg, Daniel S. (2000)
Journal of Graph Algorithms and Applications
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Borodin, O.V., Ivanova, A.O., Kostochka, A.V., Sheikh, N.N. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Duncan, Christian A., Goodrich, Michael T., Kobourov, Stephen G. (2011)
Journal of Graph Algorithms and Applications
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de Fraysseix, Hubert, Ossona de Mendez, Patrice (2001)
Journal of Graph Algorithms and Applications
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Andrzej Żuk (1997)
Annales de l'institut Fourier
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We consider the nearest neighbor random walk on planar graphs. For certain families of these graphs, we give explicit upper bounds on the norm of the random walk operator in terms of the minimal number of edges at each vertex. We show that for a wide range of planar graphs the spectral radius of the random walk is less than one.
Siniša Vrećica (2005)
The Teaching of Mathematics
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