Asymptotic expansion for cycles in homology classes for graphs

Physics – Mathematical Physics

Scientific paper

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20 pages. Submitted Paper

Scientific paper

10.1017/S0305004103007230

In this paper we give an asymptotic expansion including error terms for the
number of cycles in homology classes for connected graphs. Mainly, we obtain
formulae about the coefficients of error terms which depend on the homology
classes and give two examples of how to calculate the coefficient of first
error term.

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