A combinatorial proof of Rayleigh monotonicity for graphs
J. Cibulka, J. Hladky, M.A. LaCroix, D.G. Wagner
TL;DR
This paper provides a straightforward, combinatorial proof of Rayleigh monotonicity in graphs, offering an elementary approach to a fundamental property in graph theory.
Contribution
It introduces a new, purely combinatorial proof of Rayleigh monotonicity, simplifying understanding and potentially broadening applications.
Findings
Proof is elementary and self-contained
Establishes Rayleigh monotonicity combinatorially
Simplifies previous proofs of the property
Abstract
We give an elementary, self-contained, and purely combinatorial proof of the Rayleigh monotonicity property of graphs.
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Taxonomy
TopicsAdvanced Graph Theory Research · Advanced Combinatorial Mathematics · Limits and Structures in Graph Theory