Abstract
This paper illustrates how covering spaces of graphs may aid analyses of lattice walks. Elements involved in the presentation are trees in graphs, Euler numbers, free generators, group of covering transformations and actions, wedge of circles, and winding numbers, as connected by some standard theorems in algebraic topology. Also mentioned here are applications of lattice walk across many fields. Mathematics Subject Classification: 55S15, 06B30, 05C22, 05C21, 05C81
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