Geodesic
Rank-three matroids are Rayleigh
The electronic journal of combinatorics, Tome 12 (2005)
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A Rayleigh matroid is one which satisfies a set of inequalities analogous to the Rayleigh monotonicity property of linear resistive electrical networks. We show that every matroid of rank three satisfies these inequalities.
DOI : 10.37236/1975
Classification : 05B35, 94C99
Mots-clés : electrical networks, conductance, reduction lemma 
@article{10_37236_1975,
     author = {David G. Wagner},
     title = {Rank-three matroids are {Rayleigh}},
     journal = {The electronic journal of combinatorics},
     year = {2005},
     volume = {12},
     doi = {10.37236/1975},
     zbl = {1075.05017},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1975/}
}
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David G. Wagner. Rank-three matroids are Rayleigh. The electronic journal of combinatorics, Tome 12 (2005). doi: 10.37236/1975

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