## 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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