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The number of spanning trees in odd valent circulant graphs. (English) Zbl 1042.05051
Summary: We consider the number of spanning trees in circulant graphs. For any class of odd valent circulant graphs $$C_{2n}(a_1,a_2,\dots ,a_{k-1},n)$$, where $$a_1,a_2,\dots ,a_{k-1}$$ are fixed jumps and $$n$$ varies, some formulas, asymptotic behaviors and linear recurrence relations for the number of its spanning trees are obtained, and some known results on the ones in even valent circulant graphs $$C_n(a_1,a_2,\dots ,a_k)$$ are improved.

##### MSC:
 05C30 Enumeration in graph theory 05C05 Trees
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##### References:
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