Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4650315 | Discrete Mathematics | 2008 | 10 Pages |
Abstract
Rayleigh monotonicity in Physics has a combinatorial interpretation. In this paper we give a combinatorial proof of the Rayleigh formula using the Jacobi Identity and the all-minors matrix tree Theorem. Motivated by the fact that the edge set of each spanning tree of G is a basis of the graphic matroid induced by G, we define the Rayleigh monotonicity of the generating polynomial for the set of bases of a matroid and suggest a few related problems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
YoungBin Choe,