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The number of possibilities for random dating
Authors:Aaron Abrams
Affiliation:a Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA
b Department of Computer Science, University of Georgia, Athens, GA 30602, USA
c Département de Mathématiques et Statistique, Université de Montréal, CP 6128 succ Centre-Ville, Montréal QC H3C 3J7, Canada
Abstract:Let G be a regular graph and H a subgraph on the same vertex set. We give surprisingly compact formulas for the number of copies of H one expects to find in a random subgraph of G.
Keywords:Random graph   Subgraphs   Hitting time   Matchings   Hamiltonian cycles
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