C o n t e n t s
Preface xi
Vladimir A. Geyler, April 29, 1943 - April 2, 2007 xiii
Chapter 1. Analysis on combinatorial graphs
Revie w articles
Nodal domains on graphs - How to count them and why?
RAM BAND, IDAN OREN, AND UZY SMILANSKY 5
Zeta functions of weighted graphs and covering graphs
MATTHEW D. HORTON, H. M. STARK, AND AUDREY A. TERRAS 29
Discrete geometric analysis
TOSHIKAZU SUNADA 51
Research articles
Uniform existence of the integrated density of states for combinatorial and
metric graphs over
Zd
MICHAEL J. GRUBER, DANIEL H. LENZ, AND IVAN VESELIC 87
Bartholdi zeta functions for periodic simple graphs
DANIELE GUIDO, TOMMASO ISOLA, AND MICHEL L. LAPIDUS 109
Asymptotic properties of Markov processes on Cayley trees
M. KELBERT AND Y. SUHOV 123
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