A Bound on the Number of Spanning Trees in Bipartite Graphs

Richard Ehrenborg conjectured that in a bipartite graph G with parts X and Y, the number of spanning trees is at most the product of the vertex degrees divided by |X|⋅|Y|. We make two main contributions. First, using techniques from spectral graph theory, we show that the conjecture holds for suffic...

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Bibliographic Details
Main Author: Koo, Cheng Wai
Format: Others
Published: Scholarship @ Claremont 2016
Subjects:
Online Access:https://scholarship.claremont.edu/hmc_theses/73
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1089&context=hmc_theses