The average number of spanning trees in sparse graphs with given degrees
نویسندگان
چکیده
منابع مشابه
The average number of spanning trees in sparse graphs with given degrees
We give an asymptotic expression for the expected number of spanning trees in a random graph with a given degree sequence d = (d1, . . . , dn), provided that the number of edges is at least n + 12d 4 max, where dmax is the maximum degree. A key part of our argument involves establishing a concentration result for a certain family of functions over random trees with given degrees, using Prüfer c...
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a spanning tree of graph g is a spanning subgraph of g that is a tree. in this paper, we focusour attention on (n,m) graphs, where m = n, n + 1, n + 2 and n + 3. we also determine somecoefficients of the laplacian characteristic polynomial of fullerene graphs.
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2017
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2017.02.003