Comparing Graphs of Different Sizes

نویسنده

  • Russell Lyons
چکیده

We consider two notions describing how one finite graph may be larger than another. Using them, we prove several theorems for such pairs that compare the number of spanning trees, the return probabilities of random walks, and the number of independent sets, among other combinatorial quantities. Our methods involve inequalities for determinants, for traces of functions of operators, and for entropy. §

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عنوان ژورنال:
  • Combinatorics, Probability & Computing

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2017